Statistical Studies on the Response of Non-Linear Time-Variant Control Systems Subjected to a Suddenly Applied Stationary Gaussian Random Input

Abstract

In the previous paper, the authors have treated the response of non-linear control systems with time-invariant or -variant characteristics subjected to a suddenly applied stationary gaussian random input. However, recent trends in automatic control systems have required much attention to random changes of circuit parameters depending on the environment. The description is divided into two parts. In Part I, an analytical approach on the statistical evaluation of the response of non-linear control systems with randomly time-variant characteristics is described. Part II is concerned with the stability of the response of non-linear time-variant control systems under the excitation of a random input signal. First, the stability conditions of systems with or without a random excitation are established from general points of view. Second, the stability of the system containing an on-off or a saturated characteristic is explored respectively. Finally, the influence of the random excitations on the stability of non-linear time-variant control systems is considered in detail.