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Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations

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Abstract

In this paper, we will present new results on robust finite-time H∞ control for linear time-varying systems with both time-varying delay and bounded control. Delay-dependent sufficient conditions for robust finite-time stabilization and H∞ control are first established to guarantee finite-time stability of the closed-loop system via solving Riccati differential equations. Applications to finite-time H∞ control to a class of linear autonomous time-delay systems with bounded control are also discussed in this paper. Numerical examples are given to illustrate the effectiveness of the proposed method.

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Acknowledgements

The authors would like to thank anonymous associate editor and reviewers for their valuable comments and suggestions, which allowed us to improve the paper.

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

    Piyapong Niamsup

  2. Institute of Mathematics, VAST, 18 Hoang Quoc Viet Road, Hanoi, 10307, Vietnam

    Vu N. Phat

Authors
  1. Piyapong Niamsup
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  2. Vu N. Phat
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Corresponding author

Correspondence to Vu N. Phat.

Additional information

This work was supported by the Chiang Mai University, Thailand and the National Foundation for Science and Technology Development, Vietnam (No. 101.01–2014.35).

Recommended by Associate Editor Chadli Mohammed

Piyapong Niamsup received the B. Sc. degree in mathematics from Chiang Mai University, Thailand in 1992. He also received the M. Sc. and Ph.D. degrees in mathematics from University of Illinois at Urbana-Champaign, USA in 1995 and 1997, respectively. In 1997, he joined the Department of Mathematics, Faculty of Science, Chiang Mai University, Thailand as a lecturer, where he became an associate professor, in 2006. He is the author/co-author of 55 refereed journal papers.

His research interests include complex dynamics, stability theory, switched systems, chaos synchronization, and discrete-time events.

Vu N. Phat received the B. Sc. and Ph.D. degrees in mathematics at the former USSR Bacu State University, USSR in 1975 and 1984, respectively. He received the D. Sc. degree in mathematics at the Institute of Mathematics, Polish Academy of Sciences, Poland in 1995. Currently, he works as a professor at the Institute of Mathematics, Vietnam Academy of Science and Technology, Vietnam. He is the author/co-author of two monographs and more than 100 refereed journal papers.

His research interests include systems and control theory, optimization techniques, stability analysis, and time-delay systems.

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Niamsup, P., Phat, V.N. Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations. Int. J. Autom. Comput. 15, 355–363 (2018). https://doi.org/10.1007/s11633-016-1018-y

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  • DOI: https://doi.org/10.1007/s11633-016-1018-y

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