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An adaptive fuzzy PID control for a class of SISO uncertain nonlinear systems

Abstract : In this work we propose an adaptive PID control law to deal with a class of single input single output (SISO) uncertain nonlinear systems. In fact, a fuzzy system is used for approximating the PID control gains. The fuzzy system parameters are adjusted online using a robust adaptation law based on the Gradient method and augmented by the so-called 'e-modification' term, in order to minimize the error between the fuzzy PID controller and the unknown ideal controller. The stability of the closed-loop system is proven analytically using the Lyapunov approach. A simulation example is presented to illustrate the performance of the proposed scheme.
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https://hal.archives-ouvertes.fr/hal-01799027
Contributor : Frédéric Davesne <>
Submitted on : Thursday, May 24, 2018 - 11:29:32 AM
Last modification on : Thursday, July 1, 2021 - 11:38:04 AM

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Nidhal Cherrat, Hamid Boubertakh, Hichem Arioui. An adaptive fuzzy PID control for a class of SISO uncertain nonlinear systems. 5th International Conference on Electrical Engineering - Boumerdes (ICEE-B 2017), Oct 2017, Boumerdes, Algeria. ⟨10.1109/ICEE-B.2017.8192074⟩. ⟨hal-01799027⟩

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