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Generalized PI control for robust stabilization of dynamical systems

Author

Listed:
  • Muñoz-Vázquez, Aldo Jonathan
  • Martínez-Fuentes, Oscar
  • Fernández-Anaya, Guillermo

Abstract

This paper presents a generalization of existing control methods. The proposal stands for a novel control structure that enforces the robust stabilization of a large class of physical and engineering systems, which are subject to the effect of nonlinearities, disturbances and uncertainties. The proposed scheme results as a state feedback plus a generalized proportional–integral (PI) controller. The state feedback compensates vanishing uncertainties, while the generalized PI control term gets rid of the effect of matched uncertainties, where the assumption on the regularity of the disturbance is relaxed. The proposed contribution is the generalization of conventional PI structures to account for the case of more variate closed-loop responses. Although the usefulness of the studied generalization in real applications deserves further investigation, some numerical simulations show the pertinence of the proposed scheme.

Suggested Citation

  • Muñoz-Vázquez, Aldo Jonathan & Martínez-Fuentes, Oscar & Fernández-Anaya, Guillermo, 2022. "Generalized PI control for robust stabilization of dynamical systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 22-35.
    • Handle: RePEc:eee:matcom:v:202:y:2022:i:c:p:22-35
    DOI: 10.1016/j.matcom.2022.05.030
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    References listed on IDEAS

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    1. Ravichandran, C. & Logeswari, K. & Panda, Sumati Kumari & Nisar, Kottakkaran Sooppy, 2020. "On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. A.J. Muñoz-Vázquez & V. Parra-Vega & A. Sánchez-Orta, 2017. "A novel continuous fractional sliding mode control," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2901-2908, October.
    3. Yuri Luchko, 2021. "General Fractional Integrals and Derivatives with the Sonine Kernels," Mathematics, MDPI, vol. 9(6), pages 1-17, March.
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