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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

H-2 and H-infinity control of time-varying delay switched linear systems with application to sampled-data control

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Author(s):
Deaecto, Grace S. ; Bolzern, Paolo ; Galbusera, Luca ; Geromel, Jose C.
Total Authors: 4
Document type: Journal article
Source: NONLINEAR ANALYSIS-HYBRID SYSTEMS; v. 22, p. 43-54, NOV 2016.
Web of Science Citations: 10
Abstract

This paper deals with switched linear systems subject to time-varying delay. The main goal is to design state and output feedback switching strategies preserving closed-loop stability and a guaranteed H-2 or H-infinity performance. The switching strategies are based on a generalization of a recent extended version of the small gain theorem and do not require any assumption on the continuity of the delay and its time-variation rate. The key point to obtain the design conditions is the adoption of an equivalent switched linear system where the time-varying delay is modeled as a norm-bounded perturbation. Moreover, with this approach, it is possible to deal with sampled-data control systems. All conditions are formulated in terms of Lyapunov Metzler inequalities, which allow the maximization of an upper bound on the time-delay preserving stability and guaranteed performance. Numerical examples are discussed in order to illustrate the effectiveness of the design approach. (C) 2016 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 13/08691-2 - Control of switched linear and affine systems
Grantee:Grace Silva Deaecto
Support type: Regular Research Grants