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Observer-Based Mixed $H_2/H_{\infty}$ Control Design for Linear Systems with Time-Varying Delays: An LMI Approach  

Karimi, Hamid Reza (Center for Industrial Mathematics, University of Bremen, Germany)
Publication Information
International Journal of Control, Automation, and Systems / v.6, no.1, 2008 , pp. 1-14 More about this Journal
Abstract
This paper presents a convex optimization method for observer-based mixed $H_2/H_{\infty}$ control design of linear systems with time-varying state, input and output delays. Delay-dependent sufficient conditions for the design of a desired observer-based control are given in terms of linear matrix inequalities (LMIs). An observer-based controller which guarantees asymptotic stability and a mixed $H_2/H_{\infty}$ performance for the closed-loop system of the linear system with time-varying delays is then developed. A Lyapunov-Krasovskii method underlies the observer-based mixed $H_2/H_{\infty}$ control design. A numerical example with simulation results illustrates the effectiveness of the methodology.
Keywords
LMI; mixed $H_2/H_{\infty}$ control; observer-based control; time-delay;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 21  (Related Records In Web of Science)
Times Cited By SCOPUS : 25
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