Summary: | 碩士 === 元智大學 === 電資與資訊工程研究所 === 86 === The main purpose of this paper is to use the gain-phase margin tester technique, combined with the describing function method, stability-equation method and parameter-plane method, to analyze the limit cycles of nonlinear control systems with multiple nonlinearities, and to find the gain-margins and phase-margins of nonlinear systems. In addition, an extended stability-equation method is proposed to analyze the gain-margins and phase-margins of complicated nonlinear systems.
As illustrations, first the height control systems of a low flying vehicle are analyzed, then the position control system of a gun-turret which has four nonlinerarities is considered. All the obtained results are checked with computer simulations.
Finally, the limit cycles of a nonlinear control system with transport lag is analyzed.
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