Jump Resonance Analysis for Systems with Parametric Uncertainties

Abstract

In this paper, the extended Fukuma and Matsubara’s criterion incorporating with Kharitonov Theorem are applied to analyze the jump resonance phenomena of the uncertain nonlinear feedback systems whose linear plants containing time invariance interval parameters. By extended Fukuma and Matsubara’s criterion, the derived critical cycloid can be determined from the nonlinearity in the nonlinear feedback system. Then, by Kharitonov Theorem, Nyquist envelops of the inverse uncertain linear plants can formed by different templates respect to the individual frequency. According to Nyquist envelops passing through the critical cycloid or not, we can judge the jump resonance may or never occur. The simulation results show the effectiveness of this extension application.