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Conference Papers Year : 2021

Stabilization of Discrete-Time Piecewise Affine Systems in Implicit Representation

Abstract

This paper addresses the problem of stabilization of discrete-time piecewise affine (PWA) systems. The design of a piecewise affine state feedback control law is studied using an implicit representation based on ramp functions. LMI-based stability conditions, obtained from a piecewise quadratic Lyapunov function and the implicit representation, are stated to assess the global exponential stability of the origin of the closed-loop PWA system. Through appropriate congruence transformations and some structural assumptions, a method to design the control law parameters using semidefinite programming is then proposed.

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hal-03487907 , version 1 (17-12-2021)

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Leonardo Cabral, Joao Manoel Gomes da Silva, Giorgio Valmorbida. Stabilization of Discrete-Time Piecewise Affine Systems in Implicit Representation. IEEE 60th Conference on Decision and Control (CDC 2021), Dec 2021, Austin, United States. ⟨10.1109/cdc45484.2021.9683458⟩. ⟨hal-03487907⟩
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