This paper is concerned with the reliable H∞filtering,reliable filtering,Lyapunov function,sensor failure,linear matrix inequality(LMI)filtering problem against sensor failures for a class of discrete-time systems wi...This paper is concerned with the reliable H∞filtering,reliable filtering,Lyapunov function,sensor failure,linear matrix inequality(LMI)filtering problem against sensor failures for a class of discrete-time systems with sector-bounded nonlinearities.The resulting design is that the filtering error system is asymptotically stable and meets the prescribed H∞filtering,reliable filtering,Lyapunov function,sensor failure,linear matrix inequality(LMI)norm constraint in normal case as well as in sensor failure case.Sufficient conditions for the existence of the filter are obtained by using appropriate Lyapunov functional and linear matrix inequality(LMI)techniques.Moreover,in order to reduce the design conservativeness and get better performance,we adopt the slack variable method to realize the decoupling between the Lyapunov matrices and the system dynamic matrices.A numerical example is provided to demonstrate the effectiveness of the proposed designs.展开更多
The problem of the robust D-stability analysis for linear systems with parametric uncertainties is addressed. For matrix polytopes, new conditions via the affine parameter-dependent Lyapunov function of uncertain syst...The problem of the robust D-stability analysis for linear systems with parametric uncertainties is addressed. For matrix polytopes, new conditions via the affine parameter-dependent Lyapunov function of uncertain systems are developed with the benefit of the scalar multi-convex function. To be convenient for applications, such conditions are simplified into new linear matrix inequality （LMI） conditions, which can be solved by the powerful LMI toolbox. Numerical examples are provided to indicate that this new approach is less conservative than previous results for Hurwitz stability, Schur stability and D-stability of uncertain systems under certain circumstances.展开更多
This paper mainly focuses on stability analysis of the nonlinear active disturbance rejection control(ADRC)-based control system and its applicability to real world engineering problems.Firstly,the nonlinear ADRC(NLAD...This paper mainly focuses on stability analysis of the nonlinear active disturbance rejection control(ADRC)-based control system and its applicability to real world engineering problems.Firstly,the nonlinear ADRC(NLADRC)-based control system is transformed into a multi-input multi-output(MIMO)Lurie-like system,then sufficient condition for absolute stability based on linear matrix inequality(LMI)is proposed.Since the absolute stability is a kind of global stability,Lyapunov stability is further considered.The local asymptotical stability can be deter-mined by whether a matrix is Hurwitz or not.Using the inverted pendulum as an example,the proposed methods are verified by simulation and experiment,which show the valuable guidance for engineers to design and analyze the NL ADRC-based control system.展开更多
基金Supported by the State Key Program of National Natural Science of China （60534010）, National Basic Research Program of China （973 Program）（2009CB320604）, National Natural Science Foundation of China （60674021）, the Funds for Creative Research Groups of China （60521003）, the 111 Project（B08015）, and the Funds of Ph.D. Program of Ministry of Eduction, China （20060145019）.
基金Supported by National Basic Research Program of China(973 Program)(2009CB320604)State Key Program of National Natural Science Foundation of China(60534010)+3 种基金National Natural Science Foundation of China(60674021)Funds for Creative Research Groups of China(60821063)the 111 Project(B08015)the Funds of Doctoral Program of Ministry of Education of China(20060145019)
文摘This paper is concerned with the reliable H∞filtering,reliable filtering,Lyapunov function,sensor failure,linear matrix inequality(LMI)filtering problem against sensor failures for a class of discrete-time systems with sector-bounded nonlinearities.The resulting design is that the filtering error system is asymptotically stable and meets the prescribed H∞filtering,reliable filtering,Lyapunov function,sensor failure,linear matrix inequality(LMI)norm constraint in normal case as well as in sensor failure case.Sufficient conditions for the existence of the filter are obtained by using appropriate Lyapunov functional and linear matrix inequality(LMI)techniques.Moreover,in order to reduce the design conservativeness and get better performance,we adopt the slack variable method to realize the decoupling between the Lyapunov matrices and the system dynamic matrices.A numerical example is provided to demonstrate the effectiveness of the proposed designs.
基金supported by the National Natural Science Foundation of China (6090405161021002)
文摘The problem of the robust D-stability analysis for linear systems with parametric uncertainties is addressed. For matrix polytopes, new conditions via the affine parameter-dependent Lyapunov function of uncertain systems are developed with the benefit of the scalar multi-convex function. To be convenient for applications, such conditions are simplified into new linear matrix inequality （LMI） conditions, which can be solved by the powerful LMI toolbox. Numerical examples are provided to indicate that this new approach is less conservative than previous results for Hurwitz stability, Schur stability and D-stability of uncertain systems under certain circumstances.
基金supported by the National Natural Science Foundation of China(61836001).
文摘This paper mainly focuses on stability analysis of the nonlinear active disturbance rejection control(ADRC)-based control system and its applicability to real world engineering problems.Firstly,the nonlinear ADRC(NLADRC)-based control system is transformed into a multi-input multi-output(MIMO)Lurie-like system,then sufficient condition for absolute stability based on linear matrix inequality(LMI)is proposed.Since the absolute stability is a kind of global stability,Lyapunov stability is further considered.The local asymptotical stability can be deter-mined by whether a matrix is Hurwitz or not.Using the inverted pendulum as an example,the proposed methods are verified by simulation and experiment,which show the valuable guidance for engineers to design and analyze the NL ADRC-based control system.
