Research on Two Kinds of Adaptive Control of Colpitts Memristor Circuit Dimension Reduction System

A kind of control problem based on the active memristor model is studied. Firstly, the dynamic behavior of the Colpitts memristor chaotic circuit system is analyzed, and the Lyapunov exponent diagram and chaotic attractor diagram of the system are given to verify the existence of complex chaotic phenomena in the system. Then, aiming at the control problem of the chaotic circuit system, two methods of adaptive feedback control and adaptive integral sliding mode control are used to design an adaptive feedback controller with known parameters and unknown parameters, and an adaptive integral sliding mode controller with unknown parameters to stabilize the chaotic system to the equilibrium point. Finally, through MATLAB numerical simulation, it is verified that the two kinds of controllers can effectively control the system to the stable point, and the two kinds of controllers are compared, which provides an important basis for the choice of controllers in practical applications.