Sensitivity analysis of self-excited nonlinear oscillations

This paper presents an analytical procedure for sensitivity analysis of nonlinear control systems, which is based upon the Krylov-Bogoliubov asymptotical methods and the algebraic concept of the parameter plane analysis of nonlinear systems. In the sensitivity analysis, the effects on self-excited nonlinear oscillations of small amplitude perturbations are considered. The proposed analysis is useful to obtain information about the relative stability of sustained oscillations. The change in the amplitude and frequency of stable sustained oscillations due to small variations in system parameters can be evaluated by this method. The proposed analysis procedure is suitable for simulation on digital computers.