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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.

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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