むだ時間をもつ飽和ゲイン制御系の安定性およびリミットサイクル

概要

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The second order system with positive damping coefficient may become unstable by introducing dead time. Relation between dead time and damping under critically stable condition was evaluated by both frequency response method and analytical method, and the result shows fairly good agreement. When the gain element has a saturation characteristic, the system will have a stable limit cycle under the unstable condition stated above. Amplitude and frequencies of limit cycles were evaluated by both describing function method and analytical method, and were compared with numerical solutions through computer. It was proved that describing function method had good accuracy while analytical one had some errors in the evaluation of frequencies at large dead time. The analytical method, however, offers prospective relations and will possibly be the effective method in the analysis of nonlinear control systems.
一般社団法人日本機械学会の論文
1964-07-25