Delay-dependent robust and non-fragile guaranteed cost control for uncertain singular systems with time-varying state and input delays
This paper considers the design problems of a delay-dependent robust and non-fragile guaranteed cost controller for singular systems with parameter uncertainties and time-varying delays in state and control input. The designed controller, under the possibility of feedback gain variations, can guarantee that a closed-loop system is regular, impulse-free, stable, an upper bound of guaranteed cost function, and non-fragility in spite of parameter uncertainties, time-varying delays, and controller fragility. The existence condition of the controller, the controller’s design method, the upper bound of guaranteed cost function, and the measure of non-fragility in the controller are proposed using the linear matrix inequality (LMI) technique. Finally, numerical examples are given to illustrate the effectiveness and less conservatism of the proposed design method.
KeywordsDelay-dependent stability guaranteed cost control non-fragile control singular systems
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- Y. S. Lee, O. K. Kwon, and W. H. Kwon, “Delay-dependent guaranteed cost control for uncertain state delayed systems,” Int. Journal of Control, Automation, and Systems, vol. 3, pp. 524–532, 2005.Google Scholar
- H. L. Gao, Z. S. Q, Z. L. Cheng, and B. G. Xu, “Delay-dependent state feedback guaranteed cost control uncertain singular time delay systems,” Proc. of IEEE Conf. on Decision and Control, and European Control Conf., pp. 4354–4359, 2005.Google Scholar
- P. Dorato, C. T. Abdallah, and D. Famularo, “On the design of non-fragile compensators via symbolic quantifier elimination,” World Automation Congress, pp. 9–14, 1998.Google Scholar
- W. M. Haddad and J. Corrado, “Non-fragile controller design via quadratic Lyapunov bounds,” Proc. IEEE Control Decision on Conference, 1997.Google Scholar