Robust Switched State Feedback design for linear uncertain systems subject to disturbances∗
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A state feedback design for linear uncertain systems is proposed. To attenuate the effect of disturbances on the output of the system two performance indexes are included in the control design. For L2 disturbances the results ensures that the closed loop system has an H∞ guaranteed cost and for L∞ disturbances a L1 performance index is achieved. The stabilization conditions are given in terms of LMIs. To improve the control performance and relax the LMI conditions a switched controller which avoids chattering is proposed. Numerical examples illustrate the efficiency of the stabilizing conditions.
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Proceedings of IEEE International Workshop on Variable Structure Systems, v. 2022-September, p. 22-28.
