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Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei

Finite-time chaos control via nonsingular terminal sliding mode control. (English) Zbl 1221.37225

Commun. Nonlinear Sci. Numer. Simul. 14, No. 6, 2728-2733 (2009).
Summary: We consider the nonsingular terminal sliding mode control for chaotic systems with uncertain parameters or disturbances. The switching surface is designed technically to realize fast convergence. The controller derived from such switching surface is nonsingular and it can stabilize the chaotic systems in a finite time. Besides the second-order system and the triangular system, the proposed method can also be applied to a general class of uncertain nonlinear system. Finally, simulation results are presented to illustrate the effectiveness of the design.

Cited in 55 Documents

MSC:

37N35 Dynamical systems in control
93B12 Variable structure systems
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34D20 Stability of solutions to ordinary differential equations

Keywords:

finite-time stable; uncertain chaotic systems; terminal sliding mode; nonsingular control; unified chaotic systems
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\textit{H. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 6, 2728--2733 (2009; Zbl 1221.37225)
Full Text: DOI

References:

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