Jonsson, Ulf T. (Royal Inst. of Tech.)

Harmonic Balance for Uncertain Systems

Scheduled for presentation during the Regular Session "Periodic systems" (FrP13), Friday, July 28, 2006, 15:45−16:10, Room 101

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

Existence and and robustness of periodic oscillations in autonomous feedback systems are considered in a harmonic balance framework.Local quadratic separation of the nonlinear dynamics from the linear part of the dynamics is used to characterize a set of systems that exhibit periodic oscillation in a bounded frequency and amplitude band range. The main analysis condition can be formulated as a feasibility problem for linear matrix inequalities.