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Delay-dependent robust H-infinity control for discrete-time uncertain systems with time-varying state delays

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Abstract

This paper examines the delay-dependent H-infinity control problem for discrete-time linear systems with time-varying state delays and norm-bounded uncertainties. A new inequality for the finite sum of quadratic terms is first established. Then, some new delay-dependent criteria are derived by employing the new inequality to guarantee the robust stability of a closed-loop system with a prescribed H-infinity norm bound for all admissible uncertainties and bounded time-vary delays. A numerical example demonstrates that the proposed method is an improvement over existing ones.

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Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, Changsha, Hunan, 410083, China

    Xianming Zhang & Min Wu

  2. School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan, 410083, China

    Xianming Zhang

  3. School of Bionics, Tokyo University of Technology, Tokyo, 192-0982, Japan

    Jinhua She

  4. Faculty of Business and Informatics, Central Queensland University, Rockhampton, 4702, Australia

    Dongsheng Han

Authors
  1. Xianming Zhang
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  2. Min Wu
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  3. Jinhua She
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  4. Dongsheng Han
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Additional information

This work was partially supported by the National Science Foundation of China (No. 60425310, 60574014), the Doctor Subject Foundation of China (No. 20050533015) and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of the Ministry of Education, P. R. China (TRAPOYT).

Xianming ZHANG received his M.S. degree in Applied Mathematics from Central South University, China in 1991, and Ph.D. in Control Theory and Control Engineering at Central South University, China in 2006. From April 2005 to April 2006, he was a visiting scholar at Central Queensland University, Australia. Now, he is an associate professor of Central South University. His current research interests are time-delay systems, robust control and its applications.

Min WU received his B.S. and M.S. degrees in Engineering from Central South University, Changsha, China in 1983 and 1986, respectively, and Ph.D. in Engineering from the Tokyo Institute of Technology, Tokyo, Japan in 1999. Now, he is a professor of Central South University. He received the control engineering practice paper prize of IFAC in 1999 (jointly with M. Nakano and J.-H. She). His current research interests are process control, robust control, and intelligent systems.

Jinhua SHE received his B.S. in in Engineering from Central South University, Changsha, China, in 1983, and an M.S. in 1990 and a Ph.D. in 1993 in Engineering from the Tokyo Institute of Technology, Tokyo, Japan. In 1993, he joined the Department of Mechatronics, School of Engineering, Tokyo University of Technology; and in April, 2004 he transferred to the University’s School of Bionics, where he is currently an associate professor. He received the control engineering practice paper prize of IFAC in 1999 (jointly with M. Wu and M. Nakano). His current research interests include the application of control theory, repetitive control, expert control, Internet-based engineering education, and robotics. He is a member of the Society of Instrument and Control Engineers (SICE), the Institute of Electrical Engineers of Japan (IEEJ), and IEEE.

Dongsheng HAN received his B.S. degree in Computer Science from Shandong Normal University, China in 2004, and is currently working toward the M.S. degree in the control theory and engineering in Central Queensland University, Australia. His current research interests are Networked control and its applications.

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Zhang, X., Wu, M., She, J. et al. Delay-dependent robust H-infinity control for discrete-time uncertain systems with time-varying state delays. J. Control Theory Appl. 4, 355–360 (2006). https://doi.org/10.1007/s11768-006-5047-x

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  • DOI: https://doi.org/10.1007/s11768-006-5047-x

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