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Bumpless Transfer Control for State-Dependent Switched Linear Systems With Dwell-Time Constraints 认领 引用
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作者 Feiyue Wu Jie Lian Dong Wang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第6期1353-1361,共9页
This paper investigates the robust bumpless transfer(BT)control problem for a class of state-dependent switched linear systems.To reduce control bumps in switched systems,a state-dependent switching law with a specifi... This paper investigates the robust bumpless transfer(BT)control problem for a class of state-dependent switched linear systems.To reduce control bumps in switched systems,a state-dependent switching law with a specified dwell-time constraint is proposed.Combined with BT performance requirements,BT control is designed to incorporate both transitiondependent control and stabilizing control.In contrast to previous interpolation-based BT control design schemes,the proposed structure decouples the controller evaluation period from the dwell-time constraints,thereby enhancing flexibility in BT control design.Through the construction of transition-dependent Lyapunov functions,sufficient conditions are established to guarantee the exponential stability and BT performance for the switched system.The proposed method is extended to disturbed switched systems with a guaranteed L2-gain upper bound.To demonstrate the effectiveness of the proposed BT control strategy,an example featuring an aero-engine model is presented. 展开更多
关键词 Bumpless transfer (BT) control dwell-time constraint state-dependent switching switched systems
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EXACT CONTROLLABILITY AND CONTINUOUS DEPENDENCE OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY 认领 引用 被引量：16
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作者 马和平 刘斌 《Acta Mathematica Scientia》 SCIE CSCD 2017年第1期235-258,共24页
In the present paper,with the help of the resolvent operator and some analytic methods,the exact controllability and continuous dependence are investigated for a fractional neutral integro-differential equations with ... In the present paper,with the help of the resolvent operator and some analytic methods,the exact controllability and continuous dependence are investigated for a fractional neutral integro-differential equations with state-dependent delay.As an application,we also give one example to demonstrate our results. 展开更多
关键词 controllability continuous dependence fractional neutral integro-differentialequations state-dependent delay resolvent operator
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Attitude controller for reentry vehicles using state-dependent Riccati equation method 认领 引用 被引量：3
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作者 谢道成 王中伟 张为华 《Journal of Central South University》 SCIE EI CAS 2013年第7期1861-1867,共7页
To get better tracking performance of attitude command over the reentry phase of vehicles, the use of state-dependent Riccati equation (SDRE) method for attitude controller design of reentry vehicles was investigated.... To get better tracking performance of attitude command over the reentry phase of vehicles, the use of state-dependent Riccati equation (SDRE) method for attitude controller design of reentry vehicles was investigated. Guidance commands are generated based on optimal guidance law. SDRE control method employs factorization of the nonlinear dynamics into a state vector and state dependent matrix valued function. State-dependent coefficients are derived based on reentry motion equations in pitch and yaw channels. Unlike constant weighting matrix Q, elements of Q are set as the functions of state error so as to get satisfactory feedback and eliminate state error rapidly, then formulation of SDRE is realized. Riccati equation is solved real-timely with Schur algorithm. State feedback control law u(x) is derived with linear quadratic regulator (LQR) method. Simulation results show that SDRE controller steadily tracks attitude command, and impact point error of reentry vehicle is acceptable. Compared with PID controller, tracking performance of attitude command using SDRE controller is better with smaller control surface deflection. The attitude tracking error with SDRE controller is within 5°, and the control deflection is within 30°. 展开更多
关键词 reentry vehicle attitude controller nonlinear control state-dependent Riccati equation Schur algorithm trackingperformance
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Solution of the HJI equations for nonlinear H_∞control design by state-dependent Riccati equations approach 认领 引用 被引量：1
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作者 Xueyan Zhao Feiqi Deng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第4期654-660,共7页
The relationship between the technique by state-dependent Riccati equations(SDRE)and Hamilton-Jacobi-lsaacs(HJI)equations for nonlinear H∞control design is investigated.By establishing the Lyapunov matrix equations f... The relationship between the technique by state-dependent Riccati equations(SDRE)and Hamilton-Jacobi-lsaacs(HJI)equations for nonlinear H∞control design is investigated.By establishing the Lyapunov matrix equations for partial derivates of the solution of the SDREs and introducing symmetry measure for some related matrices,a method is proposed for examining whether the SDRE method admits a global optimal control equiva-lent to that solved by the HJI equation method.Two examples with simulation are given to illustrate the method is effective. 展开更多
关键词 nonlinear system robust control Hamilton-Jacobi-Isaacs(HJI)equation state-dependent Riccati equation(SDRE),global stabilization optimal control.
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A numerical study of comparison of two one-state-variable,rate-and state-dependent friction evolution laws 认领 引用 被引量：2
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作者 Jeen-Hwa Wang 《Earthquake Science》 2009年第2期197-204,共8页
The two one-state-variable, rate- and state-dependent friction laws, i.e., the slip and slowness laws, are com- pared on the basis of dynamical behavior of a one-degree-of-freedom spring-slider model through numerical... The two one-state-variable, rate- and state-dependent friction laws, i.e., the slip and slowness laws, are com- pared on the basis of dynamical behavior of a one-degree-of-freedom spring-slider model through numerical simulations. Results show that two （normalized） model parameters, i.e., A （the normalized characteristic slip distance） and β-α （the difference in two normalized parameters of friction laws）, control the solutions. From given values of △, β, and α, for the slowness laws, the solution exists and the unique non-zero fixed point is stable when △〉（β-α）, yet not when △ 〈（β-α）. For the slip law, the solution exists for large ranges of model parameters and the number and stability of the non-zero fixed points change from one case to another. Results suggest that the slip law is more appropriate for controlling earthquake dynamics than the slowness law. 展开更多
关键词 one-state-variable rate- and state-dependent friction law direct effect evolution effect characteristic slip displacement
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Discontinuous event-trigger scheme for global stabilization of state-dependent switching neural networks with communication delay 认领 引用
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作者 Yingjie Fan Zhen Wang +1 位作者 Jianwei Xia Hao Shen 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第3期119-128,共10页
This paper is concerned with the global stabilization of state-dependent switching neural networks(SDSNNs)viadiscontinuous event-triggered control with network-induced communication delay.Aiming at decreasing triggeri... This paper is concerned with the global stabilization of state-dependent switching neural networks(SDSNNs)viadiscontinuous event-triggered control with network-induced communication delay.Aiming at decreasing triggering times,a discontinuous event-trigger scheme is utilized to determine whether the sampling information is required to be sent outor not.Meanwhile,under the effect of communication delay,the trigger condition and SDSNNs are transformed into twotractable models by designing a fictitious delay function.Then,using the Lyapunov–Krasovskii stability theory,someinequality estimation techniques,and extended reciprocally convex combination method,two sufficient criteria are established for ensuring the global stabilization of the resulting closed-loop SDSNNs,respectively.A unified framework isderived that has the ability to handle the simultaneous existence of the communication delay,the properties of discontinuousevent-trigger scheme,as well as feedback controller design.Additionally,the developed results demonstrate a quantitativerelationship among the event trigger parameter,communication delay,and triggering times.Finally,two numerical examples are presented to illustrate the usefulness of the developed stabilization scheme. 展开更多
关键词 global stabilization state-dependent switching neural networks discontinuous event-trigger scheme communication delay
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Exponential Nonlinear Observer Based on the Differential State-dependent Riccati Equation 认领 引用 被引量：6
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作者 Hossein Beikzadeh Hamid D.Taghirad 《International Journal of Automation and computing》 2012年第4期358-368,共11页
This paper presents a novel nonlinear continuous-time observer based on the differential state-dependent Riccati equation (SDRE) filter with guaranteed exponential stability. Although impressive results have rapidly e... This paper presents a novel nonlinear continuous-time observer based on the differential state-dependent Riccati equation (SDRE) filter with guaranteed exponential stability. Although impressive results have rapidly emerged from the use of SDRE designs for observers and filters, the underlying theory is yet scant and there remain many unanswered questions such as stability and convergence. In this paper, Lyapunov stability analysis is utilized in order to obtain the required conditions for exponential stability of the estimation error dynamics. We prove that under specific conditions, the proposed observer is at least locally exponentially stable. Moreover, a new definition of a detectable state-dependent factorization is introduced, and a close relation between the uniform detectability of the nonlinear system and the boundedness property of the state-dependent differential Riccati equation is established. Furthermore, through a simulation study of a second order nonlinear model, which satisfies the stability conditions, the promising performance of the proposed observer is demonstrated. Finally, in order to examine the effectiveness of the proposed method, it is applied to the highly nonlinear flux and angular velocity estimation problem for induction machines. The simulation results verify how effectively this modification can increase the region of attraction and the observer error decay rate. 展开更多
关键词 Detectability direct method of Lyapunov exponential stability nonlinear observer region of attraction state-dependent Riccati equation (SDRE) technique
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Long-Time Behavior of Solution for Autonomous Suspension Bridge Equations with State-Dependent Delay 认领 引用 被引量：1
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作者 Suping Wang Qiaozhen Ma Xukui Shao 《Engineering（科研）》 2023年第10期632-646,共15页
This work is devoted to the following suspension bridge with state-dependent delay: . The main goal of this paper is to investigate the long-time behavior of the system. Under suitable hypothesis, the quasi-stability ... This work is devoted to the following suspension bridge with state-dependent delay: . The main goal of this paper is to investigate the long-time behavior of the system. Under suitable hypothesis, the quasi-stability estimates of the system are established, based on which the existence of global attractor with finite fractal dimension is obtained. Furthermore, the existence of exponential attractor is proved. 展开更多
关键词 Suspension Bridge Equation State-Dependent Delay Global Attractor Exponential Attractor Quasi-Stability
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EXISTENCE,UNIQUENESS AND APPROXIMATION OF THE SOLUTION OF AN ODE WITH (INFINITELY MANY) STATE-DEPENDENT IMPULSES VIA FIXED MESH GALERKIN FORMULATION 认领 引用
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作者 Francois Dubeau 《Analysis in Theory and Applications》 1999年第2期55-73,共19页
A fixed mesh variational formulation is used to establish existence and uniqueness of the solution of ordinary differential equations with (in finitely many) state-dependent in pulses on the right-hand side. This appr... A fixed mesh variational formulation is used to establish existence and uniqueness of the solution of ordinary differential equations with (in finitely many) state-dependent in pulses on the right-hand side. This approach gives a natural numerical scheme to approximate the solution.The convergence of the approximation is proved and its asymptatic order obtained. 展开更多
关键词 ODE MESH EXISTENCE,UNIQUENESS AND APPROXIMATION OF THE SOLUTION OF AN ODE WITH INFINITELY MANY STATE-DEPENDENT IMPULSES VIA FIXED MESH GALERKIN FORMULATION VIA
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Suggested New Terms for Describing Chiral States and the State-Dependent Behavior of Chiral Systems 认领 引用
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作者 Karel D. Klika 《International Journal of Organic Chemistry》 2012年第3期224-232,共9页
Deficiencies in the terminology used to describe chiral systems exist for behaviors under various processes and thus a more general, robust terminology is considered. For example, the descriptions for characterizing m... Deficiencies in the terminology used to describe chiral systems exist for behaviors under various processes and thus a more general, robust terminology is considered. For example, the descriptions for characterizing melting point, solubility, and recrystallization behaviors were adopted well before it was realized that perturbation of the enantiomeric com-position (ec) due to self-disproportionation could be effected by processes other than recrystallization such as sublimation, chromatography over achiral substrates, and even distillation. Thus, an endeavor has been made to address the question of universally describing behaviors under processes that effect, or are dependent on, the ec. The main terms that have been defined with respect to behavior are homomate (analogous to a conglomerate), heteromate, bimate (analogous to a racemic compound), and unimate (analogous to a solid solution) and they apply to melting point, solubility, recrystallization, sublimation, distillation, and chromatographic processes. Additionally, suggestions for improving the terminology for describing the states of chiral systems are also considered and the defined terms are: holemate (hol, ec = 100%), scalemate (scl, 50% ec eqm, ec = 50%). 展开更多
关键词 Stereochemistry Terminology Chirality State-Dependent Behavior Conglomerate Racemate
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The Effect of State-Dependent Control for an SIRS Epidemic Model with Varying Total Population 认领 引用
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作者 Fuwei Zhang Linfei Nie 《Journal of Applied Mathematics and Physics》 2016年第10期1889-1898,共10页
Based on the mechanism of prevention and control of infectious disease, we propose, in this paper, an SIRS epidemic model with varying total population size and state-dependent control, where the fraction of susceptib... Based on the mechanism of prevention and control of infectious disease, we propose, in this paper, an SIRS epidemic model with varying total population size and state-dependent control, where the fraction of susceptible individuals in population is as the detection threshold value. By the Poincaré map, theory of differential inequalities and differential equation geometry, the existence and orbital stability of the disease-free periodic solution are discussed. Theoretical results show that by state-dependent pulse vaccination we can make the proportion of infected individuals tend to zero, and control the transmission of disease in population. 展开更多
关键词 SIRS Epidemic Model Varying Total Population State-Dependent Pulse Control Periodic Solution Orbital Stability
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Finite-Time H∞ Control of Switched Nonlinear Systems under State-Dependent Switching 认领 引用
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作者 Xiaoyue Zhang Yao Wang 《Journal of Applied Mathematics and Physics》 2023年第7期2053-2068,共16页
This paper investigates the finite-time H∞ control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dependent switching strate... This paper investigates the finite-time H∞ control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, the state-dependent switching strategy is used to design switching signals. Based on multiple Lyapunov-like functions method, several criteria for switched nonlinear systems to be finite-time H∞ control are derived. Finally, a numerical example with simulation results is provided to show the validity of the conclusions. 展开更多
关键词 Finite-Time H∞ Control Switched Nonlinear Systems Multiple Lyapunov-Like Functions State-Dependent Switching
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Convergence of the extended Kalman filter with small and state-dependent noise 认领 引用
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作者 Ibrahim Mbouandi Njiasse Florent Ouabo Kamkumo Ralf Wunderlich 《Probability, Uncertainty and Quantitative Risk》 2026年第2期247-266,共20页
Nonlinear filtering problems are encountered in many applications,and one solution approach is the extended Kalman filter,which is not always convergent.Therefore,it is crucial to identify conditions under which the e... Nonlinear filtering problems are encountered in many applications,and one solution approach is the extended Kalman filter,which is not always convergent.Therefore,it is crucial to identify conditions under which the extended Kalman filter provides accurate approximations.This paper generalizes two significant results of Picard(1991)on the efficiency of the continuous-time extended Kalman filter for a filtering system with small noise,to a more general setting where the observation noise may be state-dependent but does not allow signal reconstruction from the quadratic variation of the observation process as for example in epidemic models.First,we show that if the drifts of the signal process and the observation process become nearly linear when the parameter,which scales the diffusion coefficients,approaches zero,and the drift coefficient of the observation process is strongly injective,then the estimation error is of the order of√ε.We then establish conditions under which the impact of the initial filtering error decays exponentially fast. 展开更多
关键词 Nonlinear filtering Small noise State-dependent noise Extended Kalman filter Error estimate
On the State-dependent Switched Energy Functions of DFIG-based Wind Power Generation Systems 认领 引用 被引量：8
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作者 Yang Liu Zehui Lin +2 位作者 Kaishun Xiahou Mengshi Li Q.H.Wu 《CSEE Journal of Power and Energy Systems》 SCIE EI CSCD 2020年第2期318-328,共11页
This paper proposes a novel state-dependent switched energy function(SdSEF)for general nonlinear autonomous systems,and constructs an SdSEF for doubly-fed induction generator(DFIG)-based wind power generation systems(... This paper proposes a novel state-dependent switched energy function(SdSEF)for general nonlinear autonomous systems,and constructs an SdSEF for doubly-fed induction generator(DFIG)-based wind power generation systems(WPGSs).Different from the conventional energy function,SdSEF is a piece-wise continuous function,and it satisfies the conditions of conventional energy functions on each of its continuous segments.SdSEF is designed to bridge the gap between the well-developed energy function theory and the description of system energy of complex nonlinear systems,such as power electronics converter systems.The stability criterion of nonlinear autonomous systems is investigated with SdSEF,and mathematical proof is presented.The SdSEF of a typical DFIGbased WPGS is simulated in the whole processes of a grid fault and fault recovery.Simulation results verify the negativeness of the derivative of each continuous segment of the SdSEF. 展开更多
关键词 Doubly-fed induction generator state-dependent switched energy function wind power generation system
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DYNAMICS ON A HOLLING II PREDATOR-PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL 认领 引用 被引量：15
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作者 BING LIU YE TIAN BAOLIN KANG 《International Journal of Biomathematics》 SCIE 2012年第3期93-110,共18页
to biological and chemical control strategy for pest control, a Holling II func- tional response predator-prey system concerning state-dependent impulsive control is investigated. We define the successor functions of ... to biological and chemical control strategy for pest control, a Holling II func- tional response predator-prey system concerning state-dependent impulsive control is investigated. We define the successor functions of semi-continuous dynamic system and give an existence theorem of order 1 periodic solution of such a system. By means of sequence convergence rules and quMitative analysis, we successfully get the conditions of existence and attractiveness of order 1 periodic solution. Our results show that our method used in this paper is more efficient and easier than the existing methods to prove the existence and attractiveness of order 1 periodic solution. 展开更多
关键词 Holling II predator-prey system order 1 periodic solution successor function state-dependent impulsive control.
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Light-tailed behavior of stationary distribution for state-dependent random walks on a strip 认领 引用 被引量：3
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作者 Wenming HONG Meijuan ZHANG Yiqiang Q. ZHAO 《Frontiers of Mathematics in China》 SCIE CSCD 2014年第4期813-834,共22页
We consider the state-dependent reflecting random walk on a half- strip. We provide explicit criteria for （positive） recurrence, and an explicit expression for the stationary distribution. As a consequence, the ligh... We consider the state-dependent reflecting random walk on a half- strip. We provide explicit criteria for （positive） recurrence, and an explicit expression for the stationary distribution. As a consequence, the light-tailed behavior of the stationary distribution is proved under appropriate conditions. The key idea of the method employed here is the decomposition of the trajectory of the random walk and the main tool is the intrinsic branching structure buried in the random walk on a strip, which is different from the matrix-analytic method. 展开更多
关键词 Random walk on a strip stationary distribution light-tailedbehavior branching process recurrence state-dependent
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The uncoupled microbial fed-batch fermentation optimization based on state-dependent switched system 认领 引用 被引量：2
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作者 Teng Niu Jingang Zhai +2 位作者 Hongchao Yin Enmin Feng Chongyang Liu 《International Journal of Biomathematics》 SCIE 2021年第4期189-210,共22页
In the actual microbial fermentation process,excessive or insufficient substrate can produce inhibitory effects on cells growth.The artificial substrate feeding rules by past experiences have great blindness to keep s... In the actual microbial fermentation process,excessive or insufficient substrate can produce inhibitory effects on cells growth.The artificial substrate feeding rules by past experiences have great blindness to keep substrate concentration in a given appropriate range.This paper considers that alkali feed depends on pH value of the solution and glycerol feed depends on glycerol concentration of the solution in the uncoupled microbial fed-hatch fermentation process,and establishes a state-dependent switched system in which the flow rates of glycerol and alkali,the number of mode switches,the mode sequence and the switching times are prior unknown.To maximize the yield of target product 1,3-Propanediol(1,3-PD),we formulate a switching optimal control problem with the flow rates of glycerol and alkali,the number of mode switches,the mode sequence and the switching times as decision variables,which is a mixed-integer dynamic programming problem.For solving the mixed-integer dynamic programming problem,the control parametrization technique,the time scaling transformation and the embedded system technology are used to obtain an approximate parameter optimization problem.By using a parallel optimization algorithm,we obtain the optimal control strategies.Under the obtained optimal control strategies,the 1,3-PD yield at the terminal time is increased significantly compared with the previous results. 展开更多
关键词 Uncoupled fed-batch fermentation state-dependent switched system switching optimal control embedded system parallel optimization
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Optimal control of a nonlinear state-dependent impulsive system in fed-batch process 认领 引用 被引量：2
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作者 Chongyang Liu Guoqing Shi +1 位作者 Gang Liu Dianzhong Hu 《International Journal of Biomathematics》 SCIE 2023年第8期297-324,共28页
Optimal control technique is crucial to improve the yield of microbial fermentation production.In this paper,we propose a nonlinear control system with state-dependent impulses,where the impulsive volume of feeding gl... Optimal control technique is crucial to improve the yield of microbial fermentation production.In this paper,we propose a nonlinear control system with state-dependent impulses,where the impulsive volume of feeding glycerol and the critical concentration of glycerol for occurring impulse are the control variables,to formulate 1,3-propanediol(1,3-PD)fed-batch production process.We also discuss a quantity of important properties for this control system.Then,we analyze the sensitivity of system state with respect to the kinetic parameters.We further propose a constrained optimal control model governed by the control system with state-dependent impulses.The existence of the optimal impulsive controls is established.For solving this problem,we utilize an exact penalty method to transform the problem into an optimization problem with only box constraints.Moreover,an improved differential evolution method is developed to seek the optimal impulsive strategy.Finally,numerical simulation results demonstrate that,by using the optimal impulsive strategies,final 1,3-PD concentration is considerably increased under the nominal parameter values and disturbances of kinetic parameters have significant effects on the optimal final 1,3-PD yield. 展开更多
关键词 State-dependent impulsive system sensitivity analysis optimal control differential evolution fed-batch culture
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A pest control model with state-dependent impulses 认领 引用 被引量：6
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作者 Xuehui Ji Sanling Yuan Lansun Chen 《International Journal of Biomathematics》 SCIE 2015年第1期111-122,共12页
In this paper, a pest control model with state-dependent impulses is firstly established, which relies on releasing of natural enemies, together with spraying pesticides. By using the successor function of differentia... In this paper, a pest control model with state-dependent impulses is firstly established, which relies on releasing of natural enemies, together with spraying pesticides. By using the successor function of differential equation geometry rules, the existence of order one periodic solution is discussed. According to the Analogue of Poincare＇s Criterion, the orbitally asymptotic stability of the order one periodic solution is obtained. Furthermore, we investigated the global attractor of the system. From a biological point of view, our results indicate that： （1） the pest population can be controlled below some threshold; （2） compared to single measure, it is more efficient to take two measures for reducing the level of the pests. 展开更多
关键词 State-dependent impulses differential equation order one periodic solution successor function.
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Jump-diffusions with state-dependent switching:existence and uniqueness,Feller property,linearization,and uniform ergodicity 认领 引用 被引量：4
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作者 XI FuBao YIN Gang 《Science China Mathematics》 SCIE 2011年第12期2651-2667,共17页
This work focuses on a class of jump-diffusions with state-dependent switching. First, compared with the existing results in the literature, in our model, the characteristic measure is allowed to be a-finite. The exis... This work focuses on a class of jump-diffusions with state-dependent switching. First, compared with the existing results in the literature, in our model, the characteristic measure is allowed to be a-finite. The existence and uniqueness of the underlying process are obtained by representing the switching component as a stochastic integral with respect to a Poisson random measure and by using a successive approximation method. Then, the Feller property is proved by means of introducing auxiliary processes and by making use of Radon-Nikodym derivatives. Furthermore, the irreducibility and all compact sets being petite are demonstrated. Based on these results, the uniform ergodicity is established under a general Lyapunov condition. Finally, easily verifiable conditions for uniform ergodicity are established when the jump-diffusions are linearizable with respect to the variable x （the state variable corresponding to the jump-diffusion component） in a neighborhood of the infinity, and some examples are presented to illustrate the results. 展开更多
关键词 jump-diffusion sigma-finite characteristic measure state-dependent switching Feller property uniform ergodicity linearization
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