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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 946385, 16 pages
Research Article

Output Feedback and Single-Phase Sliding Mode Control for Complex Interconnected Systems

1Department of Mechanical and Automation Engineering, Da-Yeh University, No. 168, University Road, Changhua 51591, Taiwan
2Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, 19 Nguyen Huu Tho Street, 7th District, Ho Chi Minh City, Vietnam

Received 29 August 2014; Accepted 25 December 2014

Academic Editor: Xudong Zhao

Copyright © 2015 Yao-Wen Tsai and Van Van Huynh. 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.


This paper generalized a new sliding mode control (SMC) without reaching phase to solve two important problems in the stability of complex interconnected systems: (1) a decentralized controller that uses only output variables directly and (2) the stability of complex interconnected systems ensured for all time. A new sliding surface is firstly designed to construct a single-phase SMC in which the desired motion is determined from the initial time instant. A new lemma is secondly established for the controller design using only output variables. The proposed single-phase SMC and the decentralized output feedback controller ensure the robust stability of complex interconnected systems from the beginning to the end. One of the key features of the single phase SMC scheme is that reaching time, which is required in most of the existing two phases of SMC approaches to stabilize the interconnected systems, is removed. Finally, a numerical example is used to demonstrate the efficacy of the method.