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Asymptotic stability and disturbance attenuation properties for a class of networked control systems

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Abstract

In this paper, stability and disturbance attenuation issues for a class of Networked Control Systems (NCSs) under uncertain access delay and packet dropout effects are considered. Our aim is to find conditions on the delay and packet dropout rate, under which the system stability and H∞ disturbance attenuation properties are preserved to a desired level. The basic idea in this paper is to formulate such Networked Control System as a discrete-time switched system. Then the NCSs’ stability and performance problems can be reduced to the corresponding problems for switched systems, which have been studied for decades and for which a number of results are available in the literature. The techniques in this paper are based on recent progress in the discrete-time switched systems and piecewise Lyapunov functions.

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Authors and Affiliations

  1. Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, 46556, USA

    Hai Lin & Panos J. Antsaklis

  2. Department of Mechanical Engineering, Osaka Prefecture University, Sakai Osaka, 599-8531, Japan

    Guisheng Zhai

Authors
  1. Hai Lin
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  2. Guisheng Zhai
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  3. Panos J. Antsaklis
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Additional information

Hai LIN was born in Hebei, China, in 1976. He received the B.S. degree from University of Science and Technology, Beijing, China in 1997, the M.E. degree from Chinese Academy of Science, China in 2000, and the Ph.D. degree from the University of Notre Dame, USA in 2005. He is currently a post-doctoral research associate in the EE Department at the University of Notre Dame, and is going to join the National University of Singapore as an assistant professor in June 2006. His research interests are in the multidisciplinary study of the problems at the intersection of control, communication, computation and life sciences. He is particularly interested in hybrid systems theory, networked control, and systems biology.

Guisheng ZHAI was born in Hubei, China, in 1967. He received the B.S. degree from Fudan University, China, in 1988, and received the M.E. and the Ph.D. degrees, both in system science, from Kobe University, Japan, in 1993 and 1996, respectively. From 1996 to 1998, he worked in Kansai Laboratory of OKI Electric Industry Co., Ltd., Japan. From 1998 to 2004, he was a research associate in the Department of Opto-Mechatronics, Wakayama University, Japan. He held a visiting research position in the Department of Electrical Engineering, the University of Notre Dame, USA, from August 2001 to July 2002. In April 2004, he joined the faculty of Osaka Prefecture University, Japan, where he currently is an associate professor of Mechanical Engineering. His research interests include large scale and decentralized control systems, robust control, switched/hybrid systems and switching control, networked control systems, neural networks and signal processing, etc. He is a senior member of IEEE, a member of ISCIE, SICE and JSME.

Panos J. ANTSAKLIS received the undergraduate degree from the National Technical University of Athens (NTUA), Athens, Greece, and the M.S. and Ph.D. degrees from Brown University, USA. He is the H.C. and E.A. Brosey Professor of Electrical Engineering at the University of Notre Dame, USA. His work includes analysis of behavior and design of control strategies for complex autonomous and intelligent systems. His recent research focuses on networked embedded systems and addresses problems in the interdisciplinary research area of control, computing and communication networks, and on hybrid and discrete-event dynamical systems. He has authored a number of publications in journals,conference proceedings, and books, and he has edited several books on intelligent autonomous control and on hybrid systems. In addition, he has coauthored the research monograph Supervisory Control of Discrete Event Systems Using Petri Nets (Norwell, MA: Kluwer, 1998) and the graduate textbook Linear Systems (New York: McGraw-Hill, 1997). Dr. Antsaklis serves on the editorial boards of several journals. He has served as Program Chair and General Chair of major systems and control conferences, as a Member and Chair of committees in the IEEE and IFAC, and he was the 1997 President of the IEEE Control Systems Society (CSS). He is a Distinguished Lecturer of the IEEE Control Systems Society, a recipient of the IEEE Distinguished Member Award of the Control Systems Society, and an IEEE Third Millennium Medal recipient.

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Lin, H., Zhai, G. & Antsaklis, P.J. Asymptotic stability and disturbance attenuation properties for a class of networked control systems. J. Control Theory Appl. 4, 76–85 (2006). https://doi.org/10.1007/s11768-006-5276-z

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  • DOI: https://doi.org/10.1007/s11768-006-5276-z

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