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Sliding mode control design via reduced order model approach

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Abstract

This paper presents a design of continuous-time sliding mode control for the higher order systems via reduced order model. It is shown that a continuous-time sliding mode control designed for the reduced order model gives similar performance for the higher order system. The method is illustrated by numerical examples. The paper also introduces a technique for design of a sliding surface such that the system satisfies a cost-optimality condition when on the sliding surface.

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Authors and Affiliations

  1. Interdisciplinary Programme in Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai, 400076, India

    B. Bandyopadhyay & Abera Alemayehu G/Egziabher

  2. Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, 110016, India

    S. Janardhanan

  3. School of Electrical, Electronic, and Computer Engineering, The University of Western Australia, Western Australia, 6009, Australia

    Victor Sreeram

Authors
  1. B. Bandyopadhyay
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  2. Abera Alemayehu G/Egziabher
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  3. S. Janardhanan
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  4. Victor Sreeram
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Corresponding author

Correspondence to B. Bandyopadhyay.

Additional information

B. Bandyopadhyay received his B.Eng degree in electronics and communication engineering from the University of Calcutta, Calcutta, India, and Ph.D. degree in electrical engineering from the Indian Institute of Technology, Delhi, India in 1978 and 1986, respectively.

In 1987, he joined the interdisciplinary programme in systems and control engineering, Indian Institute of Technology Bombay, India, as a faculty member, where he is currently a professor. He visited the Center for System Engineering and Applied Mechanics, Universite Catholique de Louvain, Louvain-la-Neuve, Belgium, in 1993. In 1996, he was with the Lehrstuhl fur Elecktrische Steuerung und Regelung, Ruhr Universitat Bochum, Bochum, Germany, as an Alexander von Humboldt Fellow. He revisited the Control Engineering Laboratory of Ruhr University of Bochum during May-July 2000. He has authored and coauthored more than 200 journal articles and conference papers.

His research interests include the areas of large-scale systems, model reduction, reactor control, smart structures, periodic output feedback control, fast output feedback control and sliding mode control.

Alemayehu G/Egziabher Abera received his M.Sc. degree in aircraft systems from Keiv Higher Aviation Education Institute, Keiv, USSR in 1989. Presently he is a Ph.D. candidate in systems and control engineering at Indian Institute of Technology Bombay, India.

His research interests include aircraft systems control, induction motor control, sliding mode control, and multirate sampling based control.

S. Janardhanan received his B.Eng. degree in instrumentation and control engineering from the University of Madras in 2000, Master and Ph.D. degrees in systems and control engineering from Indian Institute of Technology Bombay in 2002 and 2006, respectively.

He joined the Department of Electrical Engineering, Indian Institute of Technology Delhi in 2007, where he is now an assistant professor.

His research interests incldue discrete-time control systems, sliding mode control, multirate sampling, and output feedback control.

Victor Sreeram received his B.Eng. degree in 1981 from Bangalore University, India, M.Eng. degree in 1983 from Madras University, India, and Ph.D. degree from University of Victoria, B.C., Canada in 1989, all in electrical engineering.

He worked as a project engineer in the Indian Space Research Organization from 1983 to 1985. He joined the Department of Electrical & Electronic Engineering, University of Western Australia in 1990 and he is now an associate professor.

He held visiting appointments at Department of Systems Engineering, Australian National University during 1994, 1995 and 1996 and at the Australian Telecommunication Research Institute in Curtin University of Technology during 1997 and 1998.

His research interests include control and signal processing.

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Bandyopadhyay, B., Abera, A., Janardhanan, S. et al. Sliding mode control design via reduced order model approach. Int J Automat Comput 4, 329–334 (2007). https://doi.org/10.1007/s11633-007-0329-4

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  • DOI: https://doi.org/10.1007/s11633-007-0329-4

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