Second-order terminal sliding mode controller for a class of chaotic systems with unmatched uncertainties. (English) Zbl 1222.93045

Summary: We are concerned with the stabilization problem for a class of nonlinear systems. Using second-order sliding mode control approach, a robust control scheme is established to make the states of system to zero or into predictable bounds for matched and unmatched uncertainties, respectively. Meanwhile, the chattering phenomenon is eliminated. A comparative example is given to emphasize the effectiveness and robustness of the proposed method.


93B12 Variable structure systems
34H10 Chaos control for problems involving ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
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