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Chaos suppression on a class of uncertain nonlinear chaotic systems using an optimal H∞ adaptive PID controller

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  • Alfi, Alireza

Abstract

This paper introduces an optimal H∞ adaptive PID (OHAPID) control scheme for a class of nonlinear chaotic system in the presence system uncertainties and external disturbances. Based on Lyapunov stability theory, it is shown that the proposed control scheme can guarantee the stability robustness of closed-loop system with H∞ tracking performance. In the core of proposed controller, to achieve an optimal performance of OHAPID, the Particle Swarm Optimization (PSO) algorithm is utilized. To show the feasibility of proposed OHAPID controller, it is applied on the chaotic gyro system. Simulation results demonstrate that it has highly effective in providing an optimal performance.

Suggested Citation

  • Alfi, Alireza, 2012. "Chaos suppression on a class of uncertain nonlinear chaotic systems using an optimal H∞ adaptive PID controller," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 351-357.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:3:p:351-357
    DOI: 10.1016/j.chaos.2012.01.001
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    1. Liu, Bo & Wang, Ling & Jin, Yi-Hui & Tang, Fang & Huang, De-Xian, 2005. "Improved particle swarm optimization combined with chaos," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1261-1271.
    2. Lin, Jui-Sheng & Yan, Jun-Juh & Liao, Teh-Lu, 2006. "Robust control of chaos in Lorenz systems subject to mismatch uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 501-510.
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    Cited by:

    1. Mousavi, Yashar & Alfi, Alireza, 2018. "Fractional calculus-based firefly algorithm applied to parameter estimation of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 202-215.
    2. Azarboni, H. Ramezannejad & Ansari, R. & Nazarinezhad, A., 2018. "Chaotic dynamics and stability of functionally graded material doubly curved shallow shells," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 14-25.

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