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Robust adaptive control for interval time-delay systems

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Abstract

This paper focuses on the robust adaptive control problems for a class of interval time-delay systems and a class of large-scale interconnected systems. The nonlinear uncertainties of the systems under study are bounded by high-order polynomial functions with unknown gains. Firstly, the adaptive feedback controller which can guarantee the stability of the closed-loop system in the sense of uniform ultimate boundedness is proposed. Then the proposed adaptive idea is extended to robust stabilizing designing method for a class of large-scale interconnected systems. Here, another problem we address is to design a decentralized feedback adaptive controller such that the closed-loop system is stable in the sense of uniform ultimate boundedness for all admissible uncertainties and time-delay. Finally, an illustrative example is given to show the validity of the proposed approach.

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China

    Yizhong Wang, Huaguang Zhang & Jun Yang

  2. Department of Basic Courses, Shandong University of Science and Technology, Tai’an, Shandong, 271019, China

    Yizhong Wang

Authors
  1. Yizhong Wang
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  2. Huaguang Zhang
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  3. Jun Yang
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Additional information

This work was supported by the National Natural Science Foundation of China (No. 60325311, 60274017).

Yizhong WANG is a Ph.D. candidate at School of Information Sciences & Engineer, Northeastern University. He is presently an associate professor at Shandong University of Science and Technology. His main research interests include qualitative theory of differential equations, nonlinear systems control, fuzzy control and stochastic control etc.

Huaguang ZHANG received his Ph.D. degree from Southeastern University in 1991. Now he is a Ph.D. candidate superviser at School of Information Sciences & Engineering, Northeastern University. He has been a senior member IEEE since 2004. His main research interests include fuzzy adaptive control of complex systems, nonlinear systems control, chaos control and stochastic control etc.

Jun YANG received the B.S. degree in automation from Dalian University of Technology, Dalian, China, in 1999 and M.S. degree in control theory and control engineering from Shenyang University of Technology, Shenyang, China, in 2004, respectively. He is currently working toward the Ph.D. degree in the School of Information Science and Engineering, Northeastern University, Shenyang, China. His research interests include networked control system, fuzzy control, hybrid system.

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Wang, Y., Zhang, H. & Yang, J. Robust adaptive control for interval time-delay systems. J. Control Theory Appl. 4, 367–371 (2006). https://doi.org/10.1007/s11768-006-5324-8

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  • DOI: https://doi.org/10.1007/s11768-006-5324-8

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