Optimum Nonlinear Control in Retarded Systems

Abstract

Recently, relay control systems have been studied from a new standpoint, to obtain an optimum nonlinear control, i. e., utilizing the maximum available power of actuating elements. In this paper, the author treats an optimum nonlinear control for the system with a dead time and shows that the optimum performance can be obtained by adding one more switching action to the case for a system without a dead time. If there is no integrating element, it is impossible to obtain an optimum performance with the same switching-curve. However, this defect can be avoided by the use of two controlling elements in parallel. The author also shows that the switching-curve can be obtained easily by using a transient response.