三阶三次幂非线性混沌电路的自适应反馈控制和H_(∞)控制

Adaptive Feedback Control and H_(∞)Control of Third-Order Third-Power Nonlinear Chaotic Circuits

针对三阶三次幂非线性混沌电路,研究其控制问题.首先,给出系统的Lyapunov指数和混沌吸引子,验证系统存在复杂的混沌现象;其次,用自适应反馈控制方法和H_(∞)状态反馈控制方法,设计参数已知和参数未知的自适应反馈控制器以及H_(∞)状态反馈控制器,将混沌系统状态稳定到平衡点上;最后,通过MATLAB软件进行数值仿真验证控制器的有效性,并对两种控制器的控制效果进行比较.

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.