Title: Robust passive control for a class of singular time-delay systems with uncertainties

Authors: Yi-fu Feng; Qing-ling Zhang; Li Yang

Addresses: Jilin Normal University, Siping Jilin, 136000, China; Institute of Systems Science, Northeastern University, Shenyang Liaoning, 110004, China. ' Institute of Systems Science, Northeastern University, Shenyang Liaoning, 110004, China. ' College of Mathematics, Liaoning University, Shenyang Liaoning, 110036, China

Abstract: In the paper, the notion of passive uncertainties is proposed for uncertain singular systems under the state space. The robust passive control problem for a class of singular time-delay systems with uncertainties is discussed by using the linear matrices inequalities (LMIs), the sufficient condition of strictly passivation is obtained, and the robust passive controller for this class of uncertain singular systems is given. Finally, the feasibility of the theorems is shown by the numerical example.

Keywords: passive uncertainties; robust control; passive controllers; singular time delay; uncertain singular systems; state space; linear matrix inequalities; LMIs.

DOI: 10.1504/IJSCC.2011.043764

International Journal of Systems, Control and Communications, 2011 Vol.3 No.4, pp.427 - 435

Published online: 31 Mar 2015 *

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