Stabilizing unstable equilibrium point of chaotic system based on state observer and PI regulator

This paper studies the problem of stabilizing unstable equilibrium point of continuous chaotic systems with unmeasured state variables, and proposes a control method for a class of continuous chaotic systems using state observer and PI regulator. First, we design a state observer for the continuous chaotic systems, then design a PI regulator using the observed state variables as the controller of the chaotic system. Finally, the proposed control method is applied to the Chua´s circuit, verifying the correctnes of the proposed method.