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H-infinity Static Output-Feedback Gain-Scheduled Control for Discrete LPV Time-Delay Systems

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Author(s):
Rosa, Tabitha E. ; Frezzatto, Luciano ; Morais, Cecilia F. ; Oliveira, Ricardo C. L. F.
Total Authors: 4
Document type: Journal article
Source: IFAC PAPERSONLINE; v. 51, n. 26, p. 6-pg., 2018-01-01.
Abstract

This paper proposes new synthesis conditions to design H-infinity, static output-feedback controllers for discrete-time linear systems affected by time-varying parameters and time-varying delays. The design conditions are provided in terms of sufficient parameter-dependent linear matrix inequalities with a scalar parameter, being capable of synthesizing either robust or gain-scheduled controllers. The main motivations to deal with such problem are that many real-world plants can be modeled in terms of discrete-time linear parameter-varying (LPV) time-delay models and the lack of methods to deal with such systems considering an output-feedback based approach. The technique presented in this paper is quite generalist, allowing an arbitrary structure for the measured output matrix. Numerical examples are provided to illustrate the effectiveness of the synthesis conditions, tractable in terms of LMI relaxations, for robust or gain-scheduled H-infinity output-feedback for LPV time-delayed systems. (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
FAPESP's process: 17/01771-1 - Controller and filtering design for fuzzy systems and hybrid systems through LMIs: Applications and extensions
Grantee:Luciano Antonio Frezzatto Santos
Support Opportunities: Scholarships in Brazil - Post-Doctoral