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Stability Analysis of High‐Order Iterative Learning Control for a Class of Nonlinear Switched Systems

Author

Listed:
  • Xuhui Bu
  • Fashan Yu
  • Ziyi Fu
  • Fuzhong Wang

Abstract

This paper considers the stability of high‐order PID‐type iterative learning control law for a class of nonlinear switched systems with state delays and arbitrary switched rules, which perform a given task repeatedly. The stability condition for the proposed high‐order learning control law is first established, and then the stability is analyzed based on contraction mapping approach in the sense of λ norm. It is shown that the proposed iterative learning control law can guarantee the asymptotic convergence of the tracking error for the entire time interval through the iterative learning process. Two examples are given to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Xuhui Bu & Fashan Yu & Ziyi Fu & Fuzhong Wang, 2013. "Stability Analysis of High‐Order Iterative Learning Control for a Class of Nonlinear Switched Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:684642
    DOI: 10.1155/2013/684642
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    References listed on IDEAS

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    1. Ben Niu & Jun Zhao, 2013. "Tracking control for output-constrained nonlinear switched systems with a barrier Lyapunov function," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 978-985.
    2. Irada A. Dzhalladova & Jaromír Baštinec & Josef Diblík & Denys Y. Khusainov, 2011. "Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Irada A. Dzhalladova & Jaromír Baštinec & Josef Diblík & Denys Y. Khusainov, 2011. "Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, May.
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    Cited by:

    1. Bu Xuhui & Wang Hongqi & Zheng Zheng & Qian Wei, 2014. "H∞ Control for Network‐Based 2D Systems with Missing Measurements," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Jian Ding & Huizhong Yang, 2014. "Robust Monotonically Convergent Iterative Learning Control for Discrete‐Time Systems via Generalized KYP Lemma," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Xuan Yang & Xiaoe Ruan, 2015. "Analysis of Iterative Learning Control for a Class of Linear Discrete‐Time Switched Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).

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