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Global Output-Feedback Adaptive Stabilization for Planar Nonlinear Systems with Unknown Growth Rate and Output Function

Author

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  • Yan, Xuehua
  • Song, Xinmin
  • Wang, Zhonghua
  • Zhang, Yun

Abstract

This paper studies the problem of global output-feedback stabilization by adaptive method for a class of planar nonlinear systems with unmeasurable state dependent growth and unknown output function. It is worth emphasizing that not only the growth rate, but also the upper and lower bounds of the derivative of output function are not required to be known in the paper. To solve the problem, we propose a new adaptive output-feedback control scheme based on only one dynamic high-gain, by skillfully constructing the new Lyapunov function, and flexibly using the ideas of universal control and backstepping. It is shown that the state of the closed-loop system is bounded while global asymptotic stability can be achieved. Two examples including a practical example are given to demonstrate the effectiveness of the theoretical results.

Suggested Citation

  • Yan, Xuehua & Song, Xinmin & Wang, Zhonghua & Zhang, Yun, 2017. "Global Output-Feedback Adaptive Stabilization for Planar Nonlinear Systems with Unknown Growth Rate and Output Function," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 299-309.
    • Handle: RePEc:eee:apmaco:v:314:y:2017:i:c:p:299-309
    DOI: 10.1016/j.amc.2017.07.014
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    References listed on IDEAS

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    1. Xi, Changjiang & Zhai, Ding & Li, Xiaojian & Zhang, Qingling, 2017. "Decentralized adaptive delay-dependent neural network control for a class of large-scale interconnected nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 148-163.
    2. Li, Erpeng & Long, Lijun & Zhao, Jun, 2015. "Global output-feedback stabilization for a class of switched uncertain nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 551-564.
    3. Wang, Zhihui & Zhai, Junyong & Ai, Weiqing & Fei, Shumin, 2015. "Global practical tracking for a class of uncertain nonlinear systems via sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 257-268.
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    Cited by:

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