Research Papers

Decentralized Variable Structure Control for Uncertain Large-Scale Time-Delayed Systems: A New Approach

[+] Author and Article Information
Cunchen Gao

e-mail: ccgao@ouc.edu.cn

Lin Zhao

e-mail: zhaolin1585@163.com
School of Mathematical Sciences,
Ocean University of China,
Qingdao 266100, China

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received April 27, 2010; final manuscript received November 23, 2012; published online March 28, 2013. Assoc. Editor: Swaroop Darbha.

J. Dyn. Sys., Meas., Control 135(3), 031009 (Mar 28, 2013) (6 pages) Paper No: DS-10-1105; doi: 10.1115/1.4023399 History: Received April 27, 2010; Revised November 23, 2012

In this paper, a novel decentralized variable structure control (DVSC) scheme is proposed for a class of large-scale time-delayed systems (LSSs) with mismatched interconnections and uncertainties. New invariance conditions are derived such that each subsystem in the switching surface is completely invariant to both delay interconnections and uncertainties. It also shows that the stability of each closed-loop subsystem is guaranteed. By constructing auxiliary function and applying matrix norm inequality technique, the developed DVSC law for the interconnected system is realized independently through the delay terms. Moreover, the chattering around the switching surface can be reduced by the proposed design approach. Illustrative example is given to verify the validity of the developed controller.

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Grahic Jump Location
Fig. 1

State of the first closed-loop subsystem

Grahic Jump Location
Fig. 2

State of the second closed-loop subsystem

Grahic Jump Location
Fig. 3

Switching function




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