Adaptive Control of Uncertain Unified Chaotic Systems
This paper investigates the chaos control of uncertain unified chaotic systems. Adaptive control approach with three control signals is presented to stabilize states of the uncertain unified chaotic system at the zero equilibrium point. Since an adaptive controller based on dynamic compensation is employed, the faithful model of unified chaotic system is not necessarily required. By choosing proper controller parameters, chaotic phenomenon can be suppressed. In addition, the response speed of the closed-loop system is tunable. Sufficient conditions for the asymptotic stability of the adaptive approach are derived. Numerical simulation results confirm the adaptive control approach with three control inputs is valid in chaos control of uncertain unified chaotic systems.
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