Guaranteed cost control for uncertain switched singular systems

Authors:
Zhang Xiu-Hua;Zhang Hong-Yan;Bi Si-Wang
Affiliations:
Inst. of Systems Science, Northeastern Univ., Shenyang, China;Inst. of Systems Science, Northeastern Univ., Shenyang, China;Inst. of Systems Science, Northeastern Univ., Shenyang, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

Citing 2
Cited 0

Guaranteed cost control of uncertain systems with a time-multiplied quadratic cost function: an approach based on linear matrix inequalities

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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

Based on the guaranteed cost control theories and other related theories about switched systems, this paper studies the guaranteed cost control for a class of uncertain switched singular systems. First by using the common Lyapunov functions method, a sufficient condition on the existence of state feedback guaranteed cost controller is derived under arbitrary switching laws. Then given a guaranteed cost controller design method which is express in the form of linear matrix inequality (LMI). A numerical example demonstrates the validity of the proposed design approach.