Abstract

This paper addresses the H∞ state feedback control of continuous Markov jump LPV systems. A separating technique is employed to tackle the coupling among Lyapunov variable, system matrix, and controller parameter. Worst-case analysis is used for LPV systems to design gain-scheduled controllers. Based on these strategies, new sufficient conditions for the closed-loop system to be stochastically stable are formulated in the framework of linear matrix inequalities. Finally, the derived stabilization condition is applied to the control of a four-freedom active magnetic bearing.

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