Analysis of Limit Cycle Stability and Control for Nonlinear Systems

In this book study of stability and robustness of limit cycles in nonlinear systems in the presence of uncertainties when the nonlinearities are present in the feedback and feed-forward path is explained. Describing function method is a well known method for prediction and stability investigation of limit cycle. With the help of Describing function method limit cycles characteristics can be determined (amplitude and frequency of oscillation). In this book, Barkhausen characteristics equation has been used to investigate the robustness of the limit cycle of Lur'e system. Further a designing procedure of a robust controller is explained to control the characteristics of limit cycle in the presence of uncertainties.