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Adaptive Event‐Triggered Finite‐Time Tracking of Output‐Constrained High‐Order Nonlinear Systems with Time‐Varying Powers

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  • Fan Liu
  • You Wu

Abstract

This paper studies the adaptive event‐triggered finite‐time tracking of output‐constrained high‐order nonlinear systems with time‐varying powers. Due to the presence of multiple unknown powers and the consideration of event‐triggered control, all the existing control methods of output‐constrained nonlinear systems are inapplicable. By introducing nonlinear mappings, finite‐time performance functions, and low‐power and high‐power terms into adding a power integrator technique and the relative threshold strategy, an adaptive state‐feedback controller is designed to eliminate the effects caused by the output constraint and time‐varying powers. It is proved that all the closed‐loop signals are bounded, the asymmetric time‐varying output constraint is not violated, and the tracking error converges to a prescribed arbitrarily small region around zero in a preassigned finite time. Furthermore, the Zeno phenomenon can be avoided. Two simulation examples demonstrate the effectiveness of this control scheme.

Suggested Citation

  • Fan Liu & You Wu, 2022. "Adaptive Event‐Triggered Finite‐Time Tracking of Output‐Constrained High‐Order Nonlinear Systems with Time‐Varying Powers," Complexity, John Wiley & Sons, vol. 2022(1).
  • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:7466780
    DOI: 10.1155/2022/7466780
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    References listed on IDEAS

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    1. Liang Liu & Zhandong Yu & Qi Zhou & Hamid Reza Karimi, 2013. "State-Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time-Delay Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, December.
    2. Liang Liu & Zhandong Yu & Qi Zhou & Hamid Reza Karimi, 2013. "State‐Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time‐Delay Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Liu, Ji-Zhen & Yan, Shu & Zeng, De-Liang & Hu, Yong & Lv, You, 2015. "A dynamic model used for controller design of a coal fired once-through boiler-turbine unit," Energy, Elsevier, vol. 93(P2), pages 2069-2078.
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