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Robust fuzzy tracking control for nonlinear networked control systems with integral quadratic constraints

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Abstract

This paper investigates the robust tracking control problem for a class of nonlinear networked control systems (NCSs) using the Takagi-Sugeno (T-S) fuzzy model approach. Based on a time-varying delay system transformed from the NCSs, an augmented Lyapunov function containing more useful information is constructed. A less conservative sufficient condition is established such that the closed-loop systems stability and time-domain integral quadratic constraints (IQCs) are satisfied while both time-varying network-induced delays and packet losses are taken into account. The fuzzy tracking controllers design scheme is derived in terms of linear matrix inequalities (LMIs) and parallel distributed compensation (PDC). Furthermore, robust stabilization criterion for nonlinear NCSs is given as an extension of the tracking control result. Finally, numerical simulations are provided to illustrate the effectiveness and merits of the proposed method.

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Authors and Affiliations

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

    Zhi-Sheng Chen, Yong He & Min Wu

  2. School of Energy and Power Engineering, Changsha University of Science and Technology, Changsha, 410114, PRC

    Zhi-Sheng Chen

Authors
  1. Zhi-Sheng Chen
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  2. Yong He
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  3. Min Wu
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Corresponding author

Correspondence to Zhi-Sheng Chen.

Additional information

This work was supported by National Natural Science Foundation of China (No. 60574014, No. 60425310), Doctor Subject Foundation of China (No. 200805330004), Program for New Century Excellent Talents in University (No.NCET-06-0679), Natural Science Foundation of Hunan Province of China (No. 08JJ1010), and Science Foundation of Education Department of Hunan Province (No. 08C106).

Zhi-Sheng Chen received the M. Sc. and Ph.D. degrees in engineering from Central South University, Changsha, PRC in 2000 and 2005, respectively. In 2006, he joined the staff of the Changsha University of Science and Technology, PRC where he is currently an associate professor.

His research interests include robust control and its applications and networked control systems.

Yong He received the B. Sc. and M. Sc. degrees in applied mathematics from Central South University, Changsha, PRC in 1991 and 1994, respectively. He received the Ph.D. degree in the control theory and engineering from Central South University in 2004. In July, 1994, he joined the staff of Central South University, where he is currently a professor.

He is a senior member of IEEE. His research interests include time-delay systems, robust control and its applications, networked control systems, PID control, and neural networks.

Min Wu received the B. Sc. and M. Sc. degrees in engineering from Central South University, Changsha, PRC in 1983 and 1986, respectively. He received the Ph.D. degree in engineering from Tokyo Institute of Technology, Tokyo, Japan in 1999. He is now a professor in the Central South University. He received the control engineering practice paper prize of IFAC in 1999 (jointly with M. Nakano and J. H. She). He is a senior member of IEEE.

His research interests include robust control and filtering, delay systems, and robotics.

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Chen, ZS., He, Y. & Wu, M. Robust fuzzy tracking control for nonlinear networked control systems with integral quadratic constraints. Int. J. Autom. Comput. 7, 492–499 (2010). https://doi.org/10.1007/s11633-010-0532-6

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  • DOI: https://doi.org/10.1007/s11633-010-0532-6

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