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Gain-scheduled control for LPV systems with scheduling parameters transmitted through a Markov channel

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Author(s):
Palma, Jonathan M. ; Morais, Cecilia F. ; Oliveira, Ricardo C. L. F.
Total Authors: 3
Document type: Journal article
Source: IFAC PAPERSONLINE; v. 51, n. 26, p. 6-pg., 2018-01-01.
Abstract

This work investigates the problem of H-infinity state feedback control for linear parameter varying systems whose dynamics is subject to jumps, emphasizing networked control problems in which the parameters and output or input signals may not be available due to packet loss. The networked control problem is formulated in terms of non-homogeneous Markovian jump linear systems and sufficient synthesis conditions are given in terms of parameter-dependent linear matrix inequalities, that can be solved using polynomial approximations and LMI relaxations. The main advantages of the proposed approach are the theoretical guarantees of stability and performance in the presence of switching (according to the packet loss) between robust and gain-scheduled controllers. The validity of the proposed technique is carried out by means of numerical examples, one of them based on a practical application. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 14/22881-1 - Control of switched systems, Markov jump linear systems and other classes of hybrid systems through LMIs
Grantee:Cecília de Freitas Morais
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 17/18785-5 - Parameter-Dependent Linear Matrix Inequalities Applied to Stability Analysis and Synthesis of Controllers and Filters for Uncertain Dynamic Systems
Grantee:Pedro Luis Dias Peres
Support Opportunities: Regular Research Grants