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Stability and Stabilization of Piecewise Affine and Hybrid Systems: An LMI Approach

In this paper we present various algorithms both for stability analysis and state-feedback design for discrete-time piecewise affine systems. As in (Johansson and Rantzer, 1998), our approach hinges on the use of piecewise quadratic Lyapunov functions that can be computed as the solution of a set of linear matrix inequalities. We show that the continuity of the Lyapunov function is not required in the discrete-time case. Moreover, the basic algorithms are made less conservative by exploiting the switching structure of piecewise affine systems and by using relaxation procedures.

    Reference

    • EPFL-REPORT-224289

    Record created on 2017-01-10, modified on 2017-05-10

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