摘要
采用输入-状态线性化方法控制Duffing系统中的混沌现象,首先利用输入-状态可线性化的条件对此系统进行判断,当条件满足时,运用微分几何中的Lie导数和Lie括号运算对加控制的Duffing方程进行变换,使之变为线性方程,然后对线性化后的方程设计控制器,使输出达到期望值。此方法在线性化过程中没有忽略任何高阶非线性项,不仅使系统状态稳定地收敛于零,还能实现对周期信号的稳定跟踪。仿真结果证实了该方法的有效性。
Input-state linearization method is adopted to control chaotic phenomenon of Duffing system. At first, use the condition of input-state linearization to judge the system.When the conditions are meeted, Lie derivative and Lie bracket operation are applied in differential geometry to transform the adding controlled Duffing equation to a linear one.Then the linear controller is designed to make the output reaching to expected value. Any high rank nonlinear item is not neglect during the course of linearization.The way is not only to make the system states steadily converge to zero but also to realize steady track.Simulation results verify the effectiveness of the method.
出处
《安徽工业大学学报（自然科学版）》
CAS
2007年第1期58-61,66,共5页
Journal of Anhui University of Technology（Natural Science）
