Robust Limit Cycle Design for Nonlinear Systems

• Main Authors: Yao, Chih Hung, 姚志宏
• Other Authors: Chung, Chingyei
• Format: Others
• Language: zh-TW
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/12528038588353501626

碩士 === 逢甲大學 === 自動控制工程研究所 === 83 === The primary objective of this thesis is to design a robust limit cycle controller based on the pole assignment technique for nonlinear systems. One of the most popular methods of dealing with nonlinear control systems is the describing function method. The describing function method can be used to approximately analyze nonlinear behavior, specifically for pre- diction of limit cycles in the nonlinear systems. By means of this method on the nonlinear systems, the quasi-linear model can be obtained. It has found that, while the closed-loop poles are clustered, the system is extremely sensitive to parameter being changed. Thus, a robust limit cycle controller design can be accomplished by the pole placement technique. In this study, a criterion for limit cycle stability is proposed. Sometimes, a limit cycle could be desirable, such as the case of limit cycles in the electronic oscillators used in the laboratories. Therefore, the stability of limit cycle is critical. In addition, by using this criterion, not only can the stability of limit cycle be determined, but also can the controller, which is designed for a robust limit cycle in non- linear systems, be validated.