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Mathematical Problems in Engineering
Volume 2015, Article ID 239584, 15 pages
http://dx.doi.org/10.1155/2015/239584
Research Article

Adaptive Output Feedback Sliding Mode Control for Complex Interconnected Time-Delay Systems

Department of Mechanical and Automation Engineering, Da-Yeh University, No. 168 University Road, Changhua 51591, Taiwan

Received 3 June 2014; Revised 3 September 2014; Accepted 8 September 2014

Academic Editor: Hak-Keung Lam

Copyright © 2015 Van Van Huynh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We extend the decentralized output feedback sliding mode control (SMC) scheme to stabilize a class of complex interconnected time-delay systems. First, sufficient conditions in terms of linear matrix inequalities are derived such that the equivalent reduced-order system in the sliding mode is asymptotically stable. Second, based on a new lemma, a decentralized adaptive sliding mode controller is designed to guarantee the finite time reachability of the system states by using output feedback only. The advantage of the proposed method is that two major assumptions, which are required in most existing SMC approaches, are both released. These assumptions are (1) disturbances are bounded by a known function of outputs and (2) the sliding matrix satisfies a matrix equation that guarantees the sliding mode. Finally, a numerical example is used to demonstrate the efficacy of the method.