A New Method for Analysis of Nonlinear Control Systems.

摘要

A new method is presented for the rapid analysis of both linear and nonlinear control systems based on the Tustin transformation for linear systems. Linear systems were analyzed with the method which produced extremely accurate results. Nonlinear systems were analyzed by examining specific cases, which included systems governed by Rayleigh's equation, van der Pol's equation, and the Lewis servomechanism. Control systems containing hysteresis in both the forward and the feedback loops were analyzed as examples. The method applies to systems governed by ordinary differential equations and which may contain highly nonlinear terms and elements. The solutions lag the inputs by one-half the sampling period, but the simplicity of the method permits significantly increased sample rates suitable for real-time simulation. (Author)