This study investigates the output tracking control problem with prescribed transient performance for lower-triangular nonlinear systems in the presence of unknown nonlinearities.Unlike existing approaches,the lower-t...This study investigates the output tracking control problem with prescribed transient performance for lower-triangular nonlinear systems in the presence of unknown nonlinearities.Unlike existing approaches,the lower-triangular nonlinear systems under consideration exhibit singular input-output links,which are inherently not feedback linearizable.This general characteristic renders conventional techniques,such as integrator backstepping and the method of adding one power integrator,inapplicable.To overcome this challenge,a novel funnel control scheme is proposed,integrating bilateral barrier functions(BBFs)with the definition of a limit.Within this framework,BBFs ensure that the output tracking performance satisfies predefined transient specifications despite unknown nonlinearities,while the definition of a limit effectively handles difficulties arising from singular input-output links.A distinctive feature of the proposed method is its capability to accommodate control coefficients that cross zero during system evolution,a feature not supported by existing techniques.The effectiveness and practical applicability of the proposed method are demonstrated through numerical simulations and real-time experiments on a Franka Emika Panda robotic arm.展开更多
Motivated by state estimation and adaptive control of large-scale complex power systems,this paper proposes a cascaded sliding-mode observer for high-order systems with lower-triangular structure and not necessarily i...Motivated by state estimation and adaptive control of large-scale complex power systems,this paper proposes a cascaded sliding-mode observer for high-order systems with lower-triangular structure and not necessarily in Byrnes-Isidori Normal Form.Key information about the known nonlinear terms of the system is integrated into different blocks of the proposed observer.Under appropriate parameter design rules,the states of the proposed observer will quickly reach and slide on the intersection of sliding surfaces.During this sliding phase,the estimation errors rapidly converge to negligibly small values,determined by a parameter of the observer.Compared with standard high-gain observers and classical high-gain parameter embedded sliding-mode observers,the proposed observer achieves similar estimation error convergence speed with smaller gain coefficients.Moreover,the peaking phenomenon of the proposed observer is less severe.Besides,the structure of the proposed observer is more flexible than that of some well-known cascaded high-gain observers as there is no restriction on the dimension of the blocks of the proposed observer.Simulation studies are carried out on a fifth-order nonlinear system and a 10-machine 48-bus power system to further demonstrate the features of the proposed observer and its application on adaptive transient stability control of wind farms penetrated power systems.展开更多
The problem of high-performance tracking controlfor the lower-triangular systems with unknown sign-switchingvirtual control coefficients as well as unmatched disturbances isinvestigated in this paper.Instead of the on...The problem of high-performance tracking controlfor the lower-triangular systems with unknown sign-switchingvirtual control coefficients as well as unmatched disturbances isinvestigated in this paper.Instead of the online estimation algorithm,the sliding mode method and the Nussbaum gain technique,a group of orientation functions are employed to handlethe unknown sign-switching virtual control coefficients.The controllaw is combined with the orientation functions and the barrierfunctions lumped in a recursive manner.It achieves outputtracking with the preassigned rate,overshoot,and accuracy.Incontrast with the existing solutions,it is effective for the nearlymodel-free case,with the requirement for information of neitherthe system nonlinearities nor their bounding functions of theplant,nor the bounds of the disturbances.In addition,our controllerexhibits significant simplicity,without parameter identification,disturbance estimation,function approximation,derivativecalculation,dynamic surfaces,or command filtering.Twosimulation examples are conducted to substantiate the efficacyand advantages of our approach.展开更多
Pathological basal ganglia oscillations are associated with the hypokinetic motor symptoms of Parkinson’s disease.In this paper,a memoryless feedback control strategy is proposed to suppress pathological oscillations...Pathological basal ganglia oscillations are associated with the hypokinetic motor symptoms of Parkinson’s disease.In this paper,a memoryless feedback control strategy is proposed to suppress pathological oscillations in the basal ganglia.In the most of closed-loop control strategies,the excitatory subthalamic nucleus populations are both monitored and stimulated targets,neglecting the important contribution of the external globus pallidus populations in suppressing pathological oscillations.To this end,we transform the original model into a time-delay system with a lower-triangular structure,and construct a memoryless state feedback controller utilizing the gain scaling method.It is proved by the Lyapunov–Krasovskii functional method that all the signals of the resulting closed-loop system are bounded,and the system states converge to an adjustable region of the origin.In addition,the input delay in stimulating the target is considered and a corresponding controller is designed to achieve convergence of the states in the resulting closed-loop system with both state delays and input delay.Moreover,simulation tests are conducted to explore the performance of the control strategy.This paper further explores the intrinsic dynamics in the neural system,and provides an effective strategy for closed-loop deep brain stimulation control.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.62173097,U2013601,62121004,61803097,61733006,62003097,61875040)the Guangdong Basic and Applied Basic Research Foundation(Grant Nos.2022A515011239,2024B1515120004)the Guangdong S&T Program(Grant No.2025B0909040002)。
摘要This study investigates the output tracking control problem with prescribed transient performance for lower-triangular nonlinear systems in the presence of unknown nonlinearities.Unlike existing approaches,the lower-triangular nonlinear systems under consideration exhibit singular input-output links,which are inherently not feedback linearizable.This general characteristic renders conventional techniques,such as integrator backstepping and the method of adding one power integrator,inapplicable.To overcome this challenge,a novel funnel control scheme is proposed,integrating bilateral barrier functions(BBFs)with the definition of a limit.Within this framework,BBFs ensure that the output tracking performance satisfies predefined transient specifications despite unknown nonlinearities,while the definition of a limit effectively handles difficulties arising from singular input-output links.A distinctive feature of the proposed method is its capability to accommodate control coefficients that cross zero during system evolution,a feature not supported by existing techniques.The effectiveness and practical applicability of the proposed method are demonstrated through numerical simulations and real-time experiments on a Franka Emika Panda robotic arm.
摘要Motivated by state estimation and adaptive control of large-scale complex power systems,this paper proposes a cascaded sliding-mode observer for high-order systems with lower-triangular structure and not necessarily in Byrnes-Isidori Normal Form.Key information about the known nonlinear terms of the system is integrated into different blocks of the proposed observer.Under appropriate parameter design rules,the states of the proposed observer will quickly reach and slide on the intersection of sliding surfaces.During this sliding phase,the estimation errors rapidly converge to negligibly small values,determined by a parameter of the observer.Compared with standard high-gain observers and classical high-gain parameter embedded sliding-mode observers,the proposed observer achieves similar estimation error convergence speed with smaller gain coefficients.Moreover,the peaking phenomenon of the proposed observer is less severe.Besides,the structure of the proposed observer is more flexible than that of some well-known cascaded high-gain observers as there is no restriction on the dimension of the blocks of the proposed observer.Simulation studies are carried out on a fifth-order nonlinear system and a 10-machine 48-bus power system to further demonstrate the features of the proposed observer and its application on adaptive transient stability control of wind farms penetrated power systems.
基金supported in part by the National Natural Science Foundation of China(61991404,62473089)the Research Program of the Liaoning Liaohe Laboratory(LLL23ZZ-05-01)+6 种基金the Key Research and Development Program of Liaoning Province of China(2023JH26/10200011)the 111 Project 2.0 of China(B08015)the National Key Research and Development Program of China(2022YFB3305905)the Xingliao Talent Program of Liaoning Province of China(XLYC2203130)the Natural Science Foundation of Liaoning Province of China(2024JH3/10200012,2023-MS-087)the Open Research Project of the State Key Laboratory of Industrial Control Technology of China(ICT2024B12)the Fundamental Research Funds for the Central Universities of China(N2108003,N2424004).
摘要The problem of high-performance tracking controlfor the lower-triangular systems with unknown sign-switchingvirtual control coefficients as well as unmatched disturbances isinvestigated in this paper.Instead of the online estimation algorithm,the sliding mode method and the Nussbaum gain technique,a group of orientation functions are employed to handlethe unknown sign-switching virtual control coefficients.The controllaw is combined with the orientation functions and the barrierfunctions lumped in a recursive manner.It achieves outputtracking with the preassigned rate,overshoot,and accuracy.Incontrast with the existing solutions,it is effective for the nearlymodel-free case,with the requirement for information of neitherthe system nonlinearities nor their bounding functions of theplant,nor the bounds of the disturbances.In addition,our controllerexhibits significant simplicity,without parameter identification,disturbance estimation,function approximation,derivativecalculation,dynamic surfaces,or command filtering.Twosimulation examples are conducted to substantiate the efficacyand advantages of our approach.
基金supported by the Major Fundamental Research Program of the Natural Science Foundation of Shandong Province,China(No.ZR2020ZD25)the Autonomous Innovation Team Foundation for“20 Items of the New University”of Jinan City(No.202228087).
摘要Pathological basal ganglia oscillations are associated with the hypokinetic motor symptoms of Parkinson’s disease.In this paper,a memoryless feedback control strategy is proposed to suppress pathological oscillations in the basal ganglia.In the most of closed-loop control strategies,the excitatory subthalamic nucleus populations are both monitored and stimulated targets,neglecting the important contribution of the external globus pallidus populations in suppressing pathological oscillations.To this end,we transform the original model into a time-delay system with a lower-triangular structure,and construct a memoryless state feedback controller utilizing the gain scaling method.It is proved by the Lyapunov–Krasovskii functional method that all the signals of the resulting closed-loop system are bounded,and the system states converge to an adjustable region of the origin.In addition,the input delay in stimulating the target is considered and a corresponding controller is designed to achieve convergence of the states in the resulting closed-loop system with both state delays and input delay.Moreover,simulation tests are conducted to explore the performance of the control strategy.This paper further explores the intrinsic dynamics in the neural system,and provides an effective strategy for closed-loop deep brain stimulation control.