A convex optimisation approach to robust observer-based H∞ control design of linear parameter-varying delayed systems. (11th November 2008)

• Record Type: Journal Article
• Authors: Karimi, Hamid Reza; Maass, Peter
• Is Part Of: International journal of modelling, identification and control. Volume 4:Number 3(2008)
• Page Start: 226
• Page End: 241
• Publication Date: 2008-11-11
• Subjects: 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; Engineering -- Methodology -- Periodicals; Science -- Methodology -- Periodicals; 001.42
• Languages: English
• ISSNs: 1746-6172

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.