Parameter plane analysis of neurocontrol vehicle systems for limit cycle prediction

Abstract

The main purpose of this paper is to predict the limit cycles, of neurocontrol system with perturbed parameters by combining the approaches of stability equation, describing function and parameter plane. The neurocontroller is first linearized by using the describing function method. The stability of equivalent linearized system is then analyzed by using stability equations and the parameter plane method. According to this procedure, the amplitude and frequency of limit cycles can be figured out clearly in the parameter plane. Moreover, the limit cycle may be suppressed by adjusting the control parameters carefully. Finally, a vehicle model is illustrated to demonstrate its validity.