Authors: Lian, Jie¹; Zhao, Jun²; Dimirovski, Georgi³

Source: International Journal of Systems Science, Volume 40, Number 8, August 2009 , pp. 855-866(12)

Publisher: Taylor and Francis Ltd

Abstract:

This article considers the robust H∞ sliding mode control problem for a class of uncertain switched delay systems. A single sliding surface is constructed such that the reduced-order equivalent sliding motion restricted to the sliding surface is completely invariant to all admissible uncertainties. For cases of known delay and unknown delay, the existence conditions of the sliding surface are proposed, respectively. The corresponding hysteresis switching laws are designed such that the sliding motion is stabilisable with H∞ disturbance attenuation level γ. Furthermore, variable structure controllers are developed to drive the state of the switched system to reach the single sliding surface in finite time and remain on it thereafter. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design methods.

Keywords: uncertain switched delay systems; sliding mode control; H∞ control; single sliding surface; hysteresis switching law

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207720902974520

Affiliations: 1: School of Electronic and Information Engineering, Dalian University of Technology, Dalian, China,Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, P.R. China 2: Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, P.R. China,Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian Natio 3: Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia,Department of Computer Engineering, Dogus University, Istanbul, Turkey

Publication date: 2009-08-01

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