Analytical and Experimental Approaches for Controlling Unstable Oscillation by Changing Switching Timing in an Interrupted Electric Circuit

Abstract

In this paper, we propose a method of controlling an unstable oscillation observed in an interrupted electric circuit with focus on the state-dependent switching action. We define the Poincaré map and calculate the differential forms by linearly differentiating the Poincaré map with respect to the initial values. The control gain is derived from the differential forms, and the validity of the proposed method is confirmed from mathematical and experimental viewpoints. The proposed method focuses on the switching timing and it advances or delays the switching action. Therefore, it makes it easy to realize a control algorithm in a microcomputer.