统一混沌系统非线性控制器的设计与分析

Design and analysis of a nonlinear controller for unified chaotic systems

提出了一类统一混沌系统的非线性控制器的设计新方法。应用反馈精确线性化方法给出了统一混沌系统的标准型。然后利用线性控制方法对变换后的等价系统中的线性子系统进行了控制器设计,由此设计出原混沌系统的非线性控制器,并证明其具有指数稳定性。仿真结果表明利用反馈线性化方法设计的非线性控制器的有效性。

A new approach for the control of a class of unified chaotic systems is proposed. A standard model of the unified chaotic systems is established with the method of feedback accurate linearization. Then linear control technique is applied to the linear subsystem of the transformed equivalent systems to design the controller, thus a nonlinear controller of the original chaotic systems is obtained, which is proved to be exponentially stable. Finally, the simulation results show that the designed nonlinear controller by the method of feedback linearization has a good performance.