控制系统中的混沌现象研究(英文)

Study on Chaotic Behavior of Control Systems

介绍了实际控制系统中的混沌现象,并应用相轨迹、功率谱、Lyapunov指数等方法,证明了实际自动控制系统也存在混沌现象,并分析了产生混沌现象的原因。利用RBF神经元网络和相空间重构理论,给出由测量所得的实验数据序列计算系统的Lyapunov指数谱的方法,并应用于数字仿真系统。

With the view of nonlinear traits of practical control systems, chaos of automatic control system was strictly proved and prescribed in detail based on techniques of phase locus, power spectrum and Lyapunov exponents. An approach by estimating Lyapunov exponents of the system was introduced on the basis of the theory of RBF neural network andphase space reconstruction, which used data series of the control system.