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Finite-time H ∞ control for switched systems with time-varying delay using delta operator approach

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Abstract

Finite-time H ∞ control for switched systems with time-varying delay using delta operator approach is investigated in this paper. Firstly, by using the average dwell time approach and delta operator theory, sufficient conditions for H ∞ finite-time boundedness of the underlying systems are derived. Then a state feedback controller is proposed such that the resulting closed-loop system is H ∞ finite-time bounded. All the obtained results are formulated in terms of linear matrix inequalities (LMIs). Finally, an example is presented to show the validity of the proposed results.

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Author information

Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, P. R. China

    Chen Qin & Zhengrong Xiang

  2. Department of Engineering, Faculty of Engineering and Science, University of Agder, N-4898, Grimstad, Norway

    Hamid Reza Karimi

Authors
  1. Chen Qin
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  2. Zhengrong Xiang
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  3. Hamid Reza Karimi
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Corresponding author

Correspondence to Zhengrong Xiang.

Additional information

Recommended by Editor Ju Hyun Park.

This work was supported by the National Natural Science Foundation of China under Grant No. 61273120.

Chen Qin was born in Jiangsu Province, China, in 1989. She received her B.S. degree in Automation from Southeast University Chengxian College, Nanjing, China, in 2012. Now she is pursuing a Master’s degree in Control Theory and Control Engineering from Nanjing University of Science and Technology, Nanjing, China. Her current research interests include robust control, switched systems.

Zhengrong Xiang received his Ph.D. degree in Control Theory and Control Engineering at Nanjing University of Science and Technology, Nanjing, China, in 1998. Since 1998 he has been faculty member and he is currently full professor at Nanjing University of Science and Technology. He was appointed as Lecturer in 1998 and Associate Professor in 2001 at Nanjing University of Science and Technology. He is a member of the IEEE, member of the Chinese Association for Artificial Intelligence. His main research interests include switched systems, nonlinear control, robust control, and networked control systems.

Hamid Reza Karimi received his Ph.D. degree in Control Systems Engineering from University of Tehran in 2005. He is currently a Professor in Control Systems at the Faculty of Engineering and Science of the University of Agder in Norway. His research interests are in the areas of nonlinear systems, networked control systems, robust control/filter design, time-delay systems, wavelets and vibration control of flexible structures with an emphasis on applications in engineering. He is a senior member of IEEE and serves as chairman of the IEEE chapter on control systems at IEEE Norway section. He is also serving as an editorial board member for some international journals, such as Mechatronics, Neurocomputing, Information Sciences, Asian Journal of Control, Journal of Franklin Institute, Journal of Systems and Control Engineering, and International Journal of Control, Automation and Systems. He is a member of IEEE Technical Committee on Systems with Uncertainty, IFAC Technical Committee on Robust Control and IFAC Technical Committee on Automotive Control.

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Qin, C., Xiang, Z. & Karimi, H.R. Finite-time H ∞ control for switched systems with time-varying delay using delta operator approach. Int. J. Control Autom. Syst. 12, 1150–1159 (2014). https://doi.org/10.1007/s12555-014-0005-8

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  • DOI: https://doi.org/10.1007/s12555-014-0005-8

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