Delay-dependent guaranteed cost control for uncertain discrete-time systems with both state and input delays. (English) Zbl 1055.93054

Chen, Wu-Hua; Guan, Zhi-Hong; Lu, Xiaomei

J. Franklin Inst. 341, No. 5, 419-430 (2004).

Summary: This paper considers the guaranteed cost control problem for a class of uncertain linear discrete-time systems with both state and input delays. By representing the time-delay system in the descriptor system form and using a recent result on bounding of cross products of vectors, we obtain new delay-dependent sufficient conditions for the existence of the guaranteed cost controller in terms of linear matrix inequalities. Numerical examples are presented which show that the proposed method can even produce a lower guaranteed cost than the delay-independent methods.

MSC:

93C55	Discrete-time control/observation systems
15A39	Linear inequalities of matrices

Keywords:

Guaranteed cost control; Discrete-time systems; Delay-dependent criterion; Time-delay systems; Linear matrix inequality

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