Abstract:In this paper, an integral finite-time sliding mode control scheme is presented for controlling a chaotic permanent magnet synchronous motor (PMSM). The controller can stabilize the system output tracking error to zero in a finite time. Using Lyapunov's stability theory, the stability of the proposed scheme is verified. Numerical simulation results are presented to present the effectiveness of the proposed approach.

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In this paper, a nonlinear control strategy for chaotic system via sliding mode design is considered. Sliding Mode Control (SMC) is adequate for controlling chaotic system, since it offers robustness in the presence of parameter uncertainty and disturbances. It is guaranteed that, under the proposed control law, chaotic systems can asymptotically drive the system orbits to arbitrarily desired trajectories. The simulations of Chua circuit and Genesio tensi are presented to show the effectiveness of the method presented in the paper.

Chua’s circuit is the classic chaotic system and the most widely used in serval areas since it offers many advantages in the case of secure communication. Developing an accurate chaos control strategy is one of the most challenging works in synchronization or suppression or secure communication plant for the chaotic behavior. To avoid chaotic behavior in terms of synchronization or suppression. this study presents a chaos control strategy for Chua’s circuit. A new application of super twisting algorithm (STC) based on sliding mode control (SMC) is applied aiming to eliminate or synchronize the chaotic behavior. Therefore, the designed control scheme is robust against the system uncertainty with a good regulation tracking task. Using the Lyapunov stability, the property of asymptotical stability is verified. The whole of the system including the (control strategy, and Chua’s circuit) is implemented under a suitable test setup based on dSpace1104 to validate the effectiveness of our proposed control scheme.

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