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

Authors:
Li Yu;Jian Chu
Affiliations:
Department of Automation, Zhejiang University of Technology, Hangzhou 310032, People's Republic of China and Institute of Industrial Control, Zhejiang University, Hangzhou 310027, People's Republi ...;Institute of Industrial Control, Zhejiang University, Hangzhou 310027, People's Republic of China
Venue:
Automatica (Journal of IFAC)
Year:
1999

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Abstract

The guaranteed cost control problem via memoryless state feedback controllers is studied in this paper for a class of linear time-delay systems with norm-bounded time-varying parametric uncertainty and a given quadratic cost function. Sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system.