Guaranteed cost control of uncertain large-scale discrete-time systems

Authors:
Ju H. Park
Affiliations:
School of Electrical Engineering and Computer Science, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, South Korea
Venue:
Systems Analysis Modelling Simulation
Year:
2003

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Technical Communique: An LMI approach to guaranteed cost control of linear uncertain time-delay systems

Automatica (Journal of IFAC)

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Abstract

In this paper, we address the problems of guaranteed cost control for a class of large-scale discrete-time systems with parameter uncertainties. The parameter uncertainties are real time-varying norm-bounded. Using the Lyapunov method, a robust decentralized state-feedback controller is constructed to render the closed-loop system robustly stable while guaranteeing a prescribed level of performance. The developed result is expressed in terms of linear matrix inequalities. A numerical example is included to illustrate the design procedure.