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This paper designs switched controllers for a class of linear parameter varying (LPV) systems with inexactly measured parameters. H∞ performance problem is solved, and a switched LPV controller is designed. By using the multiple Lyapunov functions method, Linear Matrix Inequality (LMI) conditions are proposed, and a switching law is designed based on the hysteresis method. An active magnetic bearing...
This paper investigates stability and stabilization of positive switched systems under asynchronous switching, which means that the switching of the controller has a delay to that of the system mode. First, two sufficient conditions for the stability of autonomous systems are established. The first one is obtained by using the linear copositive Lyapunov function incorporated with linear programming...
The paper investigates the problem of robust stability analysis and robust stabilization via memoryless state feedback for uncertain difference switched systems with multiple state delays. Based on the Lyapunov-Krasovskii functional theory, delay-dependent sufficient Linear Matrix Inequalities (LMIs) conditions are established for the stability and stabilization of the considered system using some...
In this paper, we prove that a discrete-time switched linear system is exponentially stabilizable if and only if there exists a stationary hybrid-control law that consists of a homogeneous switching-control law and a piecewise-linear continuous-control law under which the closed-loop system has a piecewise quadratic Lyapunov function. Such a converse control-Lyapunov function theorem justifies many...
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