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Global sliding mode control and application in chaotic systems. (English) Zbl 1170.93320

Summary: This paper is concerned with the stabilization problem for a class of nonlinear systems. Using the global sliding mode control approach, a novel robust control law is established to make the state of system stable and to improve the robustness and the stability of system. A new reaching law is introduced to reduce the chattering. Finally, the method is applied to chaotic systems and an example of the chaotic system is given to illustrate the advantage of the proposed method.

MSC:

93B12 Variable structure systems
93B40 Computational methods in systems theory (MSC2010)
93C10 Nonlinear systems in control theory
93B35 Sensitivity (robustness)
93C15 Control/observation systems governed by ordinary differential equations
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