On the Response of Nonlinear Control Systems Subjected to a Step Input in the Presence of a Gaussian Random Noise

Abstract

From practical viewpoints, it is necessary to evaluate the step response of nonlinear control systems in the presence of a random disturbance. This paper presents a graphical method of evaluating the response of nonlinear control systems excited by a step input in the presence of a stationary random noise. In this paper, first, the extention of the phase-plane method is described and the step response of nonlinear time-variant control systems in the condition of disturbance free may be graphically calculated. Second the non-stationary response of nonlinear control systems with a random input is evaluated by a similar manner to the phase-plane analysis. The remainder of this paper is devoted to the evaluation of the step response of nonlinear control systems in the presence of a Gaussian random disturbance. By the way, the responses stated here are analytically and experimentally evaluated in this paper.