This paper presents a novel fixed-time stabilization control(FSC)method for a class of strict-feedback nonlinear systems involving unmodelled system dynamics.The key feature of the proposed method is the design of two...This paper presents a novel fixed-time stabilization control(FSC)method for a class of strict-feedback nonlinear systems involving unmodelled system dynamics.The key feature of the proposed method is the design of two dynamic parameters.Specifically,a set of auxiliary variables is first introduced through state transformation.These variables combine the original system states and the two introduced dynamic parameters,facilitating the closed-loop system stability analyses.Then,the two dynamic parameters are delicately designed by utilizing the Lyapunov method,ensuring that all the closed-loop system states are globally fixed-time stable.Compared with existing results,the“explosion of complexity”problem of backstepping control is avoided.Moreover,the two designed dynamic parameters are dependent on system states rather than a time-varying function,thus the proposed controller is still valid beyond the given fixedtime convergence instant.The effectiveness of the proposed method is demonstrated through two practical systems.展开更多
For an uncertain fixed-wing unmanned aerial vehicle(UAV)system subject to composite disturbances,this paper proposes a disturbance observer-based dynamic output feedback resilient control scheme.Firstly,a coordination...For an uncertain fixed-wing unmanned aerial vehicle(UAV)system subject to composite disturbances,this paper proposes a disturbance observer-based dynamic output feedback resilient control scheme.Firstly,a coordination disturbance observer composed of multiple disturbance observers is designed to estimate external disturbances in real time,which makes the selection of observer gains more flexible.Then,L_(2)−L_(∞)performance index is introduced to suppress energybounded disturbances.Subsequently,according to the disturbance observer method,dynamic output feedback control technique,and resilient control theory,a resilient tracking controller for the fixed-wing UAV is developed.Through Lyapunov stability analysis,the closed-loop augmented system is robust asymptotically stable and satisfies L_(2)−L_(∞)index performance criteria.Finally,simulation outcomes indicate that the suggested control approach demonstrates excellent anti-disturbance performance,effectively enhancing the control accuracy and robustness of the fixed-wing UAV in complex environments.展开更多
The problem of robust H_∞ control for uncertain neutral stochastic systems with time-varying delay is discussed.The parameter uncertaintie is assumed to be time varying norm-bounded.First,the stochastic robust stabil...The problem of robust H_∞ control for uncertain neutral stochastic systems with time-varying delay is discussed.The parameter uncertaintie is assumed to be time varying norm-bounded.First,the stochastic robust stabilization of the stochastic system without disturbance input is investigated by nonlinear matrix inequality method.Then,a full-order stochastic dynamic output feedback controller is designed by solving a bilinear matrix inequality（BMI）,which ensures a prescribed stochastic robust H_∞ performance level for the resulting closed-loop system with nonzero disturbance input and for all admissible uncertainties.An illustrative example is provided to show the feasibility of the controller and the potential of the proposed technique.展开更多
An experimental method is introduced in this paper to build the dynamics of AMSS (the active magnetic suspension system), which doesn’t depend on system’s physical parameters. The rotor can be reliably suspended und...An experimental method is introduced in this paper to build the dynamics of AMSS (the active magnetic suspension system), which doesn’t depend on system’s physical parameters. The rotor can be reliably suspended under the unit feedback control system designed with the primary dynamic model obtained. Online identification in frequency domain is processed to give the precise model. Comparisons show that the experimental method is much closer to the precise model than the theoretic method based on magnetic circuit law. So this experimental method is a good choice to build the primary dynamic model of AMSS.展开更多
This paper considers the issue of H_(∞)dynamic output feedback controller design for T-S fuzzy Markovian jump systems under time-varying sampling with known upper bound on the sampling intervals.The main aim is to re...This paper considers the issue of H_(∞)dynamic output feedback controller design for T-S fuzzy Markovian jump systems under time-varying sampling with known upper bound on the sampling intervals.The main aim is to realize sampled-data fuzzy dynamic output feedback control so as to demonstrate the stochastic stability and H_(∞)performance index of the closed-loop sampled-data fuzzy Markovian jump systems.Then,by making the most of the information within the sampling interval,a suitable closed-loop function is constructed and the integral terms are handled by using free weighted matrix method and improved integral inequality technique.Numerical example and single-link robot arm are presented to show the effectiveness of the developed method.展开更多
In this paper,the problem of induced L_(∞)control in the presence of disturbance signals in the control output of continuous-time nonlinear systems is considered.Under the condition that the system control output has...In this paper,the problem of induced L_(∞)control in the presence of disturbance signals in the control output of continuous-time nonlinear systems is considered.Under the condition that the system control output has a disturbance signal,the expected design conditions of the controller that satisfy the asymptotic stability and the specified performance are given.The sufficient conditions for such an inducedL_(∞)controller are expressed in terms of linear matrix inequalities(LMIs).Finally,the effectiveness and feasibility of the proposed induced L_(∞)control design strategy is illustrated by a tunnelling diode circuit.展开更多
This paper provides a novel fault-tolerant control scheme for a class of nonaffine systems with nonlinearly parameterised(NLP)faults.The nonaffine system is firstly transformed into an augmented one via dynamic feedba...This paper provides a novel fault-tolerant control scheme for a class of nonaffine systems with nonlinearly parameterised(NLP)faults.The nonaffine system is firstly transformed into an augmented one via dynamic feedback control.A fault-tolerant controller with Immersion and Invariance(I&I)adaptation law is designed for the transformed system through dynamic surface control.The controller avoids complexity due to the explosion of terms in backstepping design.The I&I adaptation law is developed to recover the unknown parameters of NLP faults in the system.The proposed scheme can shape the transient performance of the parameter estimation error and tracking error.In the tracking problem,all the signals and tracking error converge exponentially to a small neighbourhood of the origin.In the regulation problem,the system output converges exponentially to zero.A numerical simulation is carried out to verify the effectiveness of the proposed scheme.展开更多
In this paper,we continue the earlier work[Lu,L,&Wang,D.L.(2017).Dynamic boundary feed-back of a pendulum coupled with a viscous damped wave equation.In Proceedings of the 36th Chinese Control Conference(CCQ)(pp.1...In this paper,we continue the earlier work[Lu,L,&Wang,D.L.(2017).Dynamic boundary feed-back of a pendulum coupled with a viscous damped wave equation.In Proceedings of the 36th Chinese Control Conference(CCQ)(pp.1676-1680)]on study the stability of a pendulum coupled with a viscous damped wave equation model.This time we get the exponential stability result which is much better than the previous strong stability.By a detailed spectral analysis and opera-tor separation,we establish the Riesz basis property as well as the spectrum determined growth condition for the system.Finally,the exponential stability of the system is achieved.展开更多
基金supported by the National Natural Science Foundation of China(61821004,U1964207,20221017-10)。
文摘This paper presents a novel fixed-time stabilization control(FSC)method for a class of strict-feedback nonlinear systems involving unmodelled system dynamics.The key feature of the proposed method is the design of two dynamic parameters.Specifically,a set of auxiliary variables is first introduced through state transformation.These variables combine the original system states and the two introduced dynamic parameters,facilitating the closed-loop system stability analyses.Then,the two dynamic parameters are delicately designed by utilizing the Lyapunov method,ensuring that all the closed-loop system states are globally fixed-time stable.Compared with existing results,the“explosion of complexity”problem of backstepping control is avoided.Moreover,the two designed dynamic parameters are dependent on system states rather than a time-varying function,thus the proposed controller is still valid beyond the given fixedtime convergence instant.The effectiveness of the proposed method is demonstrated through two practical systems.
基金supported in part by the National Natural Science Foundation of China[grant number 62533012]the Hong Kong,Macao and Taiwan Science and Technology Cooperation Project of Special Foundation in Jiangsu Science and Technology Plan[grant number BZ2023057].
文摘For an uncertain fixed-wing unmanned aerial vehicle(UAV)system subject to composite disturbances,this paper proposes a disturbance observer-based dynamic output feedback resilient control scheme.Firstly,a coordination disturbance observer composed of multiple disturbance observers is designed to estimate external disturbances in real time,which makes the selection of observer gains more flexible.Then,L_(2)−L_(∞)performance index is introduced to suppress energybounded disturbances.Subsequently,according to the disturbance observer method,dynamic output feedback control technique,and resilient control theory,a resilient tracking controller for the fixed-wing UAV is developed.Through Lyapunov stability analysis,the closed-loop augmented system is robust asymptotically stable and satisfies L_(2)−L_(∞)index performance criteria.Finally,simulation outcomes indicate that the suggested control approach demonstrates excellent anti-disturbance performance,effectively enhancing the control accuracy and robustness of the fixed-wing UAV in complex environments.
基金supported by the National Natural Science Foundation of China(607404306646087403160904060)
文摘The problem of robust H_∞ control for uncertain neutral stochastic systems with time-varying delay is discussed.The parameter uncertaintie is assumed to be time varying norm-bounded.First,the stochastic robust stabilization of the stochastic system without disturbance input is investigated by nonlinear matrix inequality method.Then,a full-order stochastic dynamic output feedback controller is designed by solving a bilinear matrix inequality（BMI）,which ensures a prescribed stochastic robust H_∞ performance level for the resulting closed-loop system with nonzero disturbance input and for all admissible uncertainties.An illustrative example is provided to show the feasibility of the controller and the potential of the proposed technique.
基金Supported by the National Nature Foundation of China (No.59975073)
文摘An experimental method is introduced in this paper to build the dynamics of AMSS (the active magnetic suspension system), which doesn’t depend on system’s physical parameters. The rotor can be reliably suspended under the unit feedback control system designed with the primary dynamic model obtained. Online identification in frequency domain is processed to give the precise model. Comparisons show that the experimental method is much closer to the precise model than the theoretic method based on magnetic circuit law. So this experimental method is a good choice to build the primary dynamic model of AMSS.
基金supported by the National Natural Science Foundation of China under Grant Nos.62173174,61773191,62003154,61973148Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant No.2019KJI010+1 种基金the Natural Science Foundation of Shandong Province for Key Projects under Grant No.ZR2020KA010Graduate Education High-Quality Curriculum Construction Project for Shandong Province under Grant No.SDYKC20185.
文摘This paper considers the issue of H_(∞)dynamic output feedback controller design for T-S fuzzy Markovian jump systems under time-varying sampling with known upper bound on the sampling intervals.The main aim is to realize sampled-data fuzzy dynamic output feedback control so as to demonstrate the stochastic stability and H_(∞)performance index of the closed-loop sampled-data fuzzy Markovian jump systems.Then,by making the most of the information within the sampling interval,a suitable closed-loop function is constructed and the integral terms are handled by using free weighted matrix method and improved integral inequality technique.Numerical example and single-link robot arm are presented to show the effectiveness of the developed method.
文摘In this paper,the problem of induced L_(∞)control in the presence of disturbance signals in the control output of continuous-time nonlinear systems is considered.Under the condition that the system control output has a disturbance signal,the expected design conditions of the controller that satisfy the asymptotic stability and the specified performance are given.The sufficient conditions for such an inducedL_(∞)controller are expressed in terms of linear matrix inequalities(LMIs).Finally,the effectiveness and feasibility of the proposed induced L_(∞)control design strategy is illustrated by a tunnelling diode circuit.
基金supported by the Fundamental Research Funds for the Central Universities[grant number 2022YJS021][grant number 2022JBZY001]the National Natural Science Foundation of China[grant number 62371032].
文摘This paper provides a novel fault-tolerant control scheme for a class of nonaffine systems with nonlinearly parameterised(NLP)faults.The nonaffine system is firstly transformed into an augmented one via dynamic feedback control.A fault-tolerant controller with Immersion and Invariance(I&I)adaptation law is designed for the transformed system through dynamic surface control.The controller avoids complexity due to the explosion of terms in backstepping design.The I&I adaptation law is developed to recover the unknown parameters of NLP faults in the system.The proposed scheme can shape the transient performance of the parameter estimation error and tracking error.In the tracking problem,all the signals and tracking error converge exponentially to a small neighbourhood of the origin.In the regulation problem,the system output converges exponentially to zero.A numerical simulation is carried out to verify the effectiveness of the proposed scheme.
基金supported by Beijing Excellent Talents Train-ing Project Foundation and School Key Projects for Science and Technology[2017000020124G053 and 2020Z170-KXZ].
文摘In this paper,we continue the earlier work[Lu,L,&Wang,D.L.(2017).Dynamic boundary feed-back of a pendulum coupled with a viscous damped wave equation.In Proceedings of the 36th Chinese Control Conference(CCQ)(pp.1676-1680)]on study the stability of a pendulum coupled with a viscous damped wave equation model.This time we get the exponential stability result which is much better than the previous strong stability.By a detailed spectral analysis and opera-tor separation,we establish the Riesz basis property as well as the spectrum determined growth condition for the system.Finally,the exponential stability of the system is achieved.
