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Adaptive Robust Control for Uncertain Nonlinear Systems with Time-Delay

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Recent Advances in Computer Science and Information Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 129))

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Abstract

This paper concerns with the problem of adaptive robust control of nonlinear systems with time-delay uncertainty. The upper bound of the time-delay uncertainty is assumed to be high-order polynomials and unknown parameters are considered. By using adaptive controlmethod, we propose a class of adaptive robust state feedback controller. Based on Lyapunov-Krasovskii method and Lyapunov stability theory, it is shown that the controller designed can render the uniform asymptotic stability of the system. Finally, a numerical example is given to show the controller is feasible.

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Authors and Affiliations

  1. College of Science, Yanshan University, Qinhuangdao, China

    Shengli Shi & Long Yu

Authors
  1. Shengli Shi
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  2. Long Yu
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Corresponding author

Correspondence to Shengli Shi .

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Editors and Affiliations

  1. , College of Communication Engineering, Jilin University, Room 313, Building No.1, Changchun, Nanhu Avenue 5372, Jilin, 130012, China, People's Republic

    Zhihong Qian

  2. , Department of Electrical Engineering, The University of Mississippi, Anderson Hall 314, Mississippi, 38677, Mississippi, USA

    Lei Cao

  3. , Department of Electrical and Computer En, Naval Postgraduate School, Rm. 452 Spanagel Bldg. 232, Dyer Road 833, Monterey, 93943-5121, California, USA

    Weilian Su

  4. , Faculty of Computing, London Metropolitan University, Holloway Road 166-220, London, N7 8DB, United Kingdom

    Tingkai Wang

  5. , College of Software, Changchun University of Science and Tech, Changchun, Jilin, 130022, China, People's Republic

    Huamin Yang

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© 2012 Springer-Verlag GmbH Berlin Heidelberg

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Shi, S., Yu, L. (2012). Adaptive Robust Control for Uncertain Nonlinear Systems with Time-Delay. In: Qian, Z., Cao, L., Su, W., Wang, T., Yang, H. (eds) Recent Advances in Computer Science and Information Engineering. Lecture Notes in Electrical Engineering, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25778-0_20

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  • DOI: https://doi.org/10.1007/978-3-642-25778-0_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25777-3

  • Online ISBN: 978-3-642-25778-0

  • eBook Packages: EngineeringEngineering (R0)

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