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A new switching function for variable structure control

Hu, Jianbo, Shi, Manhong, & Tian, Yu-Chu (2004) A new switching function for variable structure control. In Fifth World Congress on Intelligent Control and Automation, 15-19 June 2004, Hagzhou, China.

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Abstract

A new switching function for variable structure control is proposed in this paper for linear continuous-time systems with uncertainties. It consists of an ordinary linear term plus an integral term and allows direct use of the pole placement technique. Different design methods are used for systems with matched and mismatched uncertainties. For systems with matched uncertainties, the switching function is synthesised based on the Riccati equation. For systems with mismatched uncertainties, the switching function is designed using the technique of linear matrix inequality. Variable structure controllers are developed according to the reaching condition of the sliding mode. Furthermore, the results for continuous-time systems are extended to discrete-time systems. The proposed approach is illustrated through numerical simulations.

Impact and interest:

5 citations in Scopus
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ID Code: 1575
Item Type: Conference Paper
Keywords: variable structure control, switching functions, Riccati equation, discrete time systems, uncertain systems
DOI: 10.1109/WCICA.2004.1340796
ISBN: 0780382730
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Automation and Control Engineering (091302)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > ARTIFICIAL INTELLIGENCE AND IMAGE PROCESSING (080100) > Neural Evolutionary and Fuzzy Computation (080108)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTATION THEORY AND MATHEMATICS (080200) > Computation Theory and Mathematics not elsewhere classified (080299)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > ELECTRICAL AND ELECTRONIC ENGINEERING (090600) > Signal Processing (090609)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2004 IEEE
Copyright Statement: Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Deposited On: 10 Jun 2005
Last Modified: 29 Feb 2012 23:19

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