Title: A convex optimisation approach to robust observer-based H_∞ control design of linear parameter-varying delayed systems

Authors: Hamid Reza Karimi, Peter Maass

Addresses: Center for Industrial Mathematics, Faculty of Mathematics and Computer Science, University of Bremen, D-28359 Bremen, Germany. ' Center for Industrial Mathematics, Faculty of Mathematics and Computer Science, University of Bremen, D-28359 Bremen, Germany

Abstract: This paper presents a convex optimisation method for observer-based control design of LPV neutral systems. Utilising the polynomials parameter-dependent quadratic functions and a suitable change of variables, the required sufficient conditions with high precision for the design of a desired observer-based control are established in terms of delay-dependent parameter-independent linear matrix inequalities. An observer-based controller guaranteeing asymptotic stability of the closed-loop system and satisfying a prescribed level of performance to the LPV neutral system with constant delay parameters is developed. A Lyapunov-Krasovskii method underlies the observer-based H_∞ control design. A numerical example with simulation results illustrates the effectiveness of the methodology.

Keywords: LPV systems; observer-based control; time-delay; linear matrix inequality; LMI; linear parameter-varying; convex optimisation; asymptotic stability; closed-loop systems; simulation; observer design; state variables.

DOI: 10.1504/IJMIC.2008.021160

International Journal of Modelling, Identification and Control, 2008 Vol.4 No.3, pp.226 - 241

Published online: 07 Nov 2008 *

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