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Adaptive robust H ∞ control of time delay systems with unknown uncertainty bounds

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Abstract

The problem of adaptive robust H ∞ control for uncertain systems with multiple delays is considered in this paper. The essential requirement for the uncertainties is that they satisfy matching conditions and are norm-bounded, but the bounds are not necessarily known. The objective is to design adaptive robust H ∞ state-feedback controller such that the resulting closed-loop system is asymptotically stable and a prescribed H ∞ performance level of the closed loop system for disturbance attenuation is guaranteed. To solve this problem, a new sufficient condition is presented in terms of a linear matrix inequality (LMI). The effectiveness of proposed method is verified by its application to an unstable system.

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Authors and Affiliations

  1. Department of Control Engineering, Isfahan Higher Education And Research Institute (IEARI), Isfahan, Iran

    Mojtaba Hosseini Toodeshki

  2. Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran

    Javad Askari

  3. Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

    Saeed Hosseinnia

Authors
  1. Mojtaba Hosseini Toodeshki
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  2. Javad Askari
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  3. Saeed Hosseinnia
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Corresponding author

Correspondence to Mojtaba Hosseini Toodeshki.

Additional information

Recommended by Editorial Board member Poo Gyeon Park under the direction of Editor Young Il Lee.

Mojtaba Hosseini Toodeshki received his B.S., M.S. and Ph.D. degrees in Electrical Engineering from Isfahan University of Technology, Iran in 2000, 2004 and 2010, respectively. He is currently an assistant professor of Control Engineering at Isfahan Higher Education And Research Institute (IHEARI), Isfahan, Iran. His current research interests are time delay systems, adaptive and robust control.

Javad Askari was born in 1964 in Isfahan, Iran. He received his B.Sc. and M.Sc. degrees in Electrical Engineering from Isfahan University of Technology in 1987 and from University of Tehran in 1993, respectively. He received also his Ph.D. degree in Electrical Engineering from University of Tehran in 2001 and under the supervision of Professor Jabedar. From 1988 to 1990 he worked at Isfahan Petrochemical Company in Isfahan. From 1999 to 2001, he received a grant from DAAD and joined Control Engineering department at Technical University Hamburg—Harburg in Germany, where he completes his Ph.D. with Professor Lunze’s research group. He is currently an assistant professor at control engineering department of Isfahan University of Technology. He is a coauthor of some papers and some textbooks. His current research interests are in control theory, particularly in the field of Hybrid Dynamical Systems and Fault-Tolerant Control, Identification, Discrete-Event Systems, Graph Theory and Electrical Engineering Curriculum.

Saeed Hosseinnia received his M.S. degree from Oklahoma State University, Stillwater, USA in 1974 and his Ph.D. degree from Isfahan University of Technology (IUT), Isfahan, Iran in 1999 both in Electrical Engineering. From 1985 up to 2009, he has been with the Department of Electrical and Computer Engineering at IUT. He is currently an assistant professor of Electrical Engineering at Islamic Azad University, Najafabad Branch, Najafabad, Iran. His research interests include system theory, nonlinear control and robust control.

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Toodeshki, M.H., Askari, J. & Hosseinnia, S. Adaptive robust H ∞ control of time delay systems with unknown uncertainty bounds. Int. J. Control Autom. Syst. 10, 158–165 (2012). https://doi.org/10.1007/s12555-012-0118-x

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  • DOI: https://doi.org/10.1007/s12555-012-0118-x

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