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Adaptive control of the chaotic system via singular system approach. (English) Zbl 1463.93033

Summary: This paper deals with the control problem of the chaotic system subject to disturbance. The sliding mode surface is designed by singular system approach, and sufficient condition for convergence is given. Then, the adaptive sliding mode controller is designed to make the state arrive at the sliding mode surface in finite time. Finally, Lorenz system is considered as an example to show the effectiveness of the proposed method.

MSC:

93B12 Variable structure systems
93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
34H10 Chaos control for problems involving ordinary differential equations
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