Adaptive Backstepping Control of the Uncertain Unified Chaotic System

In this paper, an improved adaptive backstepping design is proposed to control the uncertain unified chaotic system. With the method, parameters identification and control can be achieved simultane- ously with only one controller within finite steps based on Lyapunov stability theory. This paper also proves that the adaptive backstepping design method with only one controller presented in (12) is unavailable. Nu- merical stimulations are provided to demonstrate the effectiveness of the method discussed in this paper and the unavailability of the method with only one controller presented in (12).

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