Robust Adaptive Fuzzy Control of Nonlinear Systems

Authors

  • N. Zerroug Department of Electrical Engineering, University Ferhat Abbas Setif 1, Algeria
  • K. Behih Department of Electrical Engineering, University Ferhat Abbas Setif 1, Algeria
  • Z. Bouchama Department of Electromechanical Engineering, Bachir El Ibrahimi University, Algeria
  • K. Zehar Department of Electrical and Electronics Engineering, University of Bahrain, Bahrain
Volume: 12 | Issue: 2 | Pages: 8328-8334 | April 2022 | https://doi.org/10.48084/etasr.4781

Received: 26 January 2022 | Revised: 11 February 2022 | Accepted: 12 February 2022 | Online: 9 April 2022


Corresponding author: N. Zerroug

Abstract

In this paper, an adaptive Fuzzy Fast Terminal Synergetic Controller (FFSC) for a certain class of SISO unknown nonlinear dynamic systems is proposed, that uses the concept of terminal attractor design, adaptive fuzzy synergetic control scheme, and Lyapunov synthesis approach. In contrast to the existing adaptive fuzzy synergetic control design, where the fuzzy systems are used to approximate the unknown system functions while the synergetic control guarantees robustness and achieves the asymptotic stability of the closed-loop system, in our technique both the continuous synergetic control law and the fuzzy approximator are derived to ensure finite-time convergence. Lyapunov conditions for finite-time stability and accuracy proofs in mathematics are presented to prove that the proposed adaptive scheme can achieve finite-time stable tracking of reference input and guarantee of the bonded system signals. Simulation results illustrate the design procedures and demonstrate the performance of the proposed controller.

Keywords:

Syergetic control, robust control, fast time convergence, adaptive fuzzy systems, nonlinear dynamic systems

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[1]
N. Zerroug, K. Behih, Z. Bouchama, and K. Zehar, “Robust Adaptive Fuzzy Control of Nonlinear Systems”, Eng. Technol. Appl. Sci. Res., vol. 12, no. 2, pp. 8328–8334, Apr. 2022.

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