LMI conditions for output feedback control of switched systems based on a time-varying convex Lyapunov function

Autor(es)

Deaecto, Grace S. ; Daiha, Helder R.

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS; v. 357, n. 15, p. 16-pg., 2020-10-01.

Resumo

This paper proposes novel sufficient conditions expressed in terms of linear matrix inequalities for the dynamical output feedback control design of discrete-time switched linear systems. More specifically, an output-dependent switching function together with a full order switched controller are determined in order to assure exponential stability and a guaranteed H-2 performance level. The proposed output feedback conditions have some useful properties: (a) they are based on a time-varying convex Lyapunov function, which contributes to reducing conservatism, (b) the controller parameters are independent of the Lyapunov matrices, which lead to time-invariant controller matrices, and (c) the conditions are expressed in terms of linear matrix inequalities being easier to solve, but not necessarily more conservative than other techniques available in the literature. Two academic examples are used for validation and comparison with other techniques from the literature. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 17/20343-0 - Sistemas de controle com comutação: novas perspectivas teóricas e aplicações práticas
• Beneficiário: Grace Silva Deaecto
• Modalidade de apoio: Auxílio à Pesquisa - Regular