Abstract: We studied the control problem of third-order third-power nonlinear chaotic circuits. Firstly, we gave the Lyapunov exponent and chaotic attractor of the system to verify the existence of complex chaos in the system. Secondly, using adaptive feedback control method and H_∞ state feedback control method, we designed the adaptive feedback controller with known and unknown parameters and H_∞ state feedback controller to stabilize the chaotic system state to the equilibrium point. Finally, the effectiveness of the controller was verified through numerical simulation by using MATLAB software, and the control effect of the two controllers was compared.

Key words: third-power nonlinear chaotic circuit, adaptive feedback control, H_∞ state feedback control, Lyapunov exponent