A. Tesi et al., HARMONIC-BALANCE ANALYSIS OF PERIOD-DOUBLING BIFURCATIONS WITH IMPLICATIONS FOR CONTROL OF NONLINEAR DYNAMICS, Automatica, 32(9), 1996, pp. 1255-1271
Citations number
36
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
The harmonic balance method is applied to the analysis of period-doubl
ing bifurcations in a general class of nonlinear feedback systems. Com
pact conditions for the prediction and stability analysis of period-do
ubling bifurcations are obtained. Specializations of these conditions
for systems in which the nonlinear subsystem is static are given. The
implications of the results to control design are illustrated through
the development of a design procedure for solving a representative con
trol problem. The objectives of the control design can include delay o
f a given period-doubling bifurcation as well as stability objectives.
The results are illustrated with a detailed example. Copyright (C) 19
96 Elsevier Science Ltd.