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Full State Constraints-based Adaptive Fuzzy Finite-time Command Filtered Control for Permanent Magnet Synchronous Motor Stochastic Systems

Qi Jiang, Yumei Ma, Jiapeng Liu, and Jinpeng Yu*
International Journal of Control, Automation, and Systems, vol. 20, no. 8, pp.2543-2553, 2022

Abstract : In this paper, the problem of full state constraints-based adaptive fuzzy finite-time command filtered control (FTCFC) is investigated for permanent magnet synchronous motor (PMSM) stochastic systems. Firstly, the barrier Lyapunov functions are introduced to avoid the violation of the state constraints. Then, the unknown nonlinear functions are approximated by the fuzzy logic systems (FLSs) in PMSM stochastic systems. Furthermore, the finite-time control method is proposed by combing command filtered backstepping and adaptive fuzzy control, and the improved finite-time command filter can solve the problem of “explosion of complexity”, and relax the condition of input signal. It is shown that the required tracking performance can be realized in finite time, and the boundedness of all signals in the closed-loop system is guaranteed. Finally, simulation results illustrate the validity of the studied method.

Keyword : Adaptive fuzzy control, barrier Lyapunov functions, finite-time command filtered control, full state constraints, permanent magnet synchronous motor.

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