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Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

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  • Jiangbin Wang
  • Ling Liu
  • Chongxin Liu
  • Xiaoteng Li

Abstract

The main purpose of the paper is to control chaotic oscillation in a complex seven-dimensional power system model. Firstly, in view that there are many assumptions in the design process of existing adaptive controllers, an adaptive sliding mode control scheme is proposed for the controlled system based on equivalence principle by combining fixed-time control and adaptive control with sliding mode control. The prominent advantage of the proposed adaptive sliding mode control scheme lies in that its design process breaks through many existing assumption conditions. Then, chaotic oscillation behavior of a seven-dimensional power system is analyzed by using bifurcation and phase diagrams, and the proposed strategy is adopted to control chaotic oscillation in the power system. Finally, the effectiveness and robustness of the designed adaptive sliding mode chaos controllers are verified by simulation.

Suggested Citation

  • Jiangbin Wang & Ling Liu & Chongxin Liu & Xiaoteng Li, 2020. "Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-13, February.
    • Handle: RePEc:hin:jnlmpe:1565460
    DOI: 10.1155/2020/1565460
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    Cited by:

    1. Hao Jia & Chen Guo, 2020. "The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System," Mathematics, MDPI, vol. 8(10), pages 1-13, October.
    2. Ngamsa Tegnitsap, J.V. & Fotsin, H.B. & Megam Ngouonkadi, E.B., 2021. "Magnetic coupling based control of a chaotic circuit: Case of the van der Pol oscillator coupled to a linear circuit," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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