Abstract
This paper puts forward a projection-based adaptive command filtered fuzzy nonsingular terminal sliding mode backstepping (PACFTB) control method for the speed control of the linear induction motor (LIM) with unknown end effects. Firstly, the technique of fuzzy logic systems (FLS) is investigated to approximate the nonlinear components of the LIM’s mathematical model, which reduces the difficulty and cost of controller design. Then, a constrained command-filtered backstepping controller is designed with a filtering compensator compensating for the inherent error of constrained filter. Moreover, the nonsingular terminal sliding mode control method is combined in the controller design for its advantages of finite-time convergence of the system, and the projection-operator-based adaptive laws are established at the same time. Finally, the stability analysis proves that the boundedness and stability of all signals can be ensured with the proposed PACFTB controller, and the simulation results along with experiment results verify that the proposed control strategy has better control performance than the conventional command filter backstepping and PI controller.
Highlights
Linear induction motor (LIM) traction system has been widely applied in rail transit in recent years, due to its simple structure, low energy consumption, big start thrust and low cost [1,2,3]
Related studies have shown that dynamic changes of system parameters, such as fluctuations in the air gap of linear motors, will lead to the first two levels of mutual inductance and LIM derivative resistance deviation [4,5], and the dynamic end effect makes the air gap magnetic field greatly affected by the inlet vortex in the high speed region of the motor [6]
Motivated by the above investigation on control methods of LIM, a projection-based adaptive command filtered fuzzy nonsingular terminal sliding mode backstepping (PACFTB) control strategy is proposed for better speed control performance of LIM
Summary
Linear induction motor (LIM) traction system has been widely applied in rail transit in recent years, due to its simple structure, low energy consumption, big start thrust and low cost [1,2,3]. The fuzzy logic technique and nonsingular terminal SMC method can be both integrated in the investigated adaptive backstepping control strategy for better control performance of LIM. Motivated by the above investigation on control methods of LIM, a projection-based adaptive command filtered fuzzy nonsingular terminal sliding mode backstepping (PACFTB) control strategy is proposed for better speed control performance of LIM. The nonsingular terminal sliding mode control method is integrated with the adaptive fuzzy backstepping control to enhance the robustness of the system and ensure to reach the equilibrium point within a limited time.
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