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.
Stability and stabilization of piecewise affine and hybrid systems
FERRARI TRECATE, GIANCARLO;
2000-01-01
Abstract
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.File in questo prodotto:
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