Abstract
In this paper, we studied the observer-based proportional-integral (PI) control problem for a class of switched systems with uncertainties. By choosing the appropriate Lyapunov function, a sufficient condition is given to stabilize the switched systems by PI controller and observer when the system states are not accessible. The main results are proposed and proved by linear matrix inequality technique. In order to approximate the relative equation with satisfactory accuracy, we describe the relevant design problem as a semidefinite programming by regular convex optimization. A simulation result is given to show the effectiveness of the algorithm.
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