Event‐triggered control for continuous‐time switched linear systems

Tracking Control of Linear Switched Systems

This paper deals with the optimal tracking problem for switched systems, where the control input, the switching times and the switching index are all design variables. We propose a three-stage method for solving this problem. First, we fix the switching times and switching index sequence, which leads to a linear tracking problem, except different subsystems are defined in their respective time ...

Discrete Supervisory Control of Switched Linear Systems

This contribution deals with the synthesis of discrete supervisory control for switched linear systems. Via two successive approximation steps, this hybrid control problem is transformed into a purely discrete problem. The latter can then be solved using a slightly modified version of P. J. Ramadge’s and W. M. Wonham’s “supervisory control theory”. By embedding both approximation steps within J...

Analysis and Control of Linear Switched Systems

H∞ Control of Switched Linear Parabolic Systems

The H∞ control problem of a class of switched linear parabolic systems is considered. By applying the multiple Lyapunov function method and the average dwell time scheme, sufficient conditions for exponential stability and the H∞ control synthesis are established in terms of LMIs and a family of switching signals. The advantage in this work lies in the fact that sufficient conditions completely...

A 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...