Delay-dependent robust guaranteed cost control of an uncertain linear system with state and input delay

Authors:
J. Gao;B. Huang
Affiliations:
Department of Chemical & Material Engineering, University of Alberta, Edmonton, Alberta, Canada T6G2G6;Department of Chemical & Material Engineering, University of Alberta, Edmonton, Alberta, Canada T6G2G6
Venue:
International Journal of Systems Science
Year:
2005

Citing 6
Cited 1

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Dynamics and Control
Robust H∞ state feedback control for linear systems with state delay and parameter uncertainty

Automatica (Journal of IFAC)
Time-Delay Systems: Analysis, Optimization and Applications

Time-Delay Systems: Analysis, Optimization and Applications
Brief Delay-dependent robust H∞ control of uncertain linear state-delayed systems

Automatica (Journal of IFAC)
Technical Communique: Robust reliable control for a class of uncertain nonlinear state-delayed systems

Automatica (Journal of IFAC)
Technical Communique: An LMI approach to guaranteed cost control of linear uncertain time-delay systems

Automatica (Journal of IFAC)

Robust stabilisation of uncertain systems with interval time-varying state and input delays

International Journal of Systems Science

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Abstract

This paper is concerned with the problems of robust stabilization and robust guaranteed cost control for linear systems with delays in both state and input subject to norm bounded parameter uncertainties. A delay-dependent design method (referred to delay-dependent design) is developed with guaranteed close-loop stability and cost for any delay no larger than a given bound and for all admissible uncertainties. A systematic approach via linear matrix inequalities (LMI) is proposed, and the control law can be computed using the standard LMI techniques.