Parameter identification and control of uncertain unified chaotic system via adaptive extending equilibrium manifold approach

A novel adaptive control method is proposed for controlling newly introduced uncertain unified system. The observer technique is applied to identify the unknown parameter of the unified system. Based on this observer, a simple controller is designed via extending equilibrium manifolds of the original system, which can stabilize the chaotic irregular states not only to arbitrary desired equilibrium-alike points but also to any target periodic orbits as designated online. Numerical simulations are provided to show the effectiveness of the proposed control method.