周期分岔解的魯棒控制

Abstract

根據C-L方法，可以得到非線性動力系統的分岔方程和拓撲分岔圖。根據得到的分岔圖，結合控制理論，提出了周期解的魯棒控制方法。該方法將運動模式控制到目標模式。由於該方法對控制器的參數沒有嚴格的控制，所以在設計和制造控制器方面是很方便的。數值研究驗證了該方法的有效性。

The topological bifurcation diagrams and the coefficients of bifurcation equation were obtained by C-L method. According to obtained bifurcation diagrams and combining control theory, the method of robust control of periodic bifurcation was presented, which differs from generic methods of bifurcation control. It can make the existing motion pattern into the goal motion pattern. Because the method does not make strict requirement about parametric values of the controller, it is convenient to design and make it. Numerical simulations verify validity of the method.