Control and Cybernetics Persistent Bounded Disturbance Rejection for Uncertain Time-delay Systems * †
نویسندگان
چکیده
Abstract: This paper considers the problemof persistent bounded disturbance rejection for a class of time-delay systems with parametric uncertainty by Lyapunov function and positively invariant set analysis method. Sufficient conditions for internal stability and L1−performance analysis are given in terms of linear matrix inequalities (LMIs). Based on the results, a simple approach to the design of a linear state-feedback controller is presented to stabilize robustly the uncertain time-delay systems and achieve a desired level of disturbance attenuation. All the obtained conditions are delaydependent. A numerical example is included to illustrate the proposed method.
منابع مشابه
Development of RMPC Algorithm for Compensation of Uncertain Time-Delay and Disturbance in NCS
In this paper, a synthesis method based on robust model predictive control is developed for compensation of uncertain time-delays in networked control systems with bounded disturbance. The proposed method uses linear matrix inequalities and uncertainty polytope to model uncertain time-delays and system disturbances. The continuous system with time-delay is discretized using uncertainty po...
متن کاملAnalysis of persistent bounded disturbance rejection for neutral delay systems
Abstract-This paper deals with the problem of persistent bounded disturbance rejection for uncertain neutral delay systems. Using Lyapunov-Krasovskii functional method, we establish sufficient conditions in terms of linear matrix inequality (LMI) that simultaneously ensure ρ-performance and stability (delay-dependent and delay-independent). Particulary, for the delay-dependent case, an estimati...
متن کاملROBUST $H_{infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH
In this paper we consider the problem of delay-dependent robustH1 control for uncertain fuzzy systems with time-varying delay. The Takagi–Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay isassumed to have lower and upper bounds. Based on the Lyapunov-Krasovskiifunctional method, a sufficient condition for the existence of a robust $H_{infty}$controller is obtained. The fuzz...
متن کاملAn LMI Approach to Persistent Bounded Disturbance Rejection for Uncertain Impulsive Systems
The problem of persistent bounded disturbance rejection for linear impulsive systems with parametric uncertainty is considered by Lyapunov function and positively invariant set analysis method. A sufficient condition for robustly internal stability and L1-performance of the impulsive systems is obtained in terms of linear matrix inequalities. Based on this result, a simple approach to the desig...
متن کاملRejection of Persistent Bounded Disturb- ance for a Class of Time-Delay Systems ⋆
Abstract: This paper considers the problem of persistent bounded disturbance rejection for a class of time-delay systems by Lyapunov function and positively invariant set analysis method. Sufficient conditions for internal stability and L1−performance analysis are given in terms of linear matrix inequalities (LMIs). Based on which, a dynamic output-feedback controller is then designed. All the ...
متن کامل