Feedback Stability for Dissipative Switched Systems
نویسندگان
چکیده
A method is proposed to infer Lyapunov and asymptotic stability properties for switching systems, under arbitrary continuous-state feedback. Continuous-time systems which are dissipative in the multiple-storage function sense are considered. A partition of the state space, induced by the cross-supply rates and the feedback function, is used to derive conditions for stability. It is argued that the conditions proposed here are more straightforward to check, when compared to those proposed by other approaches in the literature. Some numerical examples are offered to illustrate this point.
منابع مشابه
A Dissipative Integral Sliding Mode Control Redesign Method
This paper develops a new method of integral sliding mode control redesign for a class of perturbed nonlinear dissipative switched systems by modifying the dissipativity-based control law that was designed for the unperturbed systems. The nominal model is considered affine with matched and unmatched perturbations. The redesigned control law includes an integral sliding-based control signal such...
متن کاملDesign of Observer-based H∞ Controller for Robust Stabilization of Networked Systems Using Switched Lyapunov Functions
In this paper, H∞ controller is synthesized for networked systems subject to random transmission delays with known upper bound and different occurrence probabilities in the both of feedback (sensor to controller) and forward (controller to actuator) channels. A remote observer is employed to improve the performance of the system by computing non-delayed estimates of the sates. The closed-loop s...
متن کاملRobust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملA new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...
متن کاملA new approach based on state conversion to stability analysis and control design of switched nonlinear cascade systems
In this paper, the problems of control and stabilization of switched nonlinear cascade systems is investigated. The so called simultaneous domination limitation (SDL) is introduced in previous works to assure the existence of a common quadratic Lyapunov function (CQLF) for switched nonlinear cascade systems. According to this idea, if all subsystems of a switched system satisfy the SDL, a CQLF ...
متن کامل