DocumentCode :
469381
Title :
A time-periodic sector condition for limit cycle robustness
Author :
Jönsson, U.T.
Author_Institution :
R. Inst. of Technol., Stockholm
fYear :
2007
fDate :
12-14 Dec. 2007
Firstpage :
2211
Lastpage :
2217
Abstract :
Existence and robustness of periodic oscillations in autonomous feedback systems are considered for systems with separable nonlinearities. 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 quadratic constraint is generated as a time-periodic sector condition that characterizes the nonlinearity along a nominal periodic solution. The main analysis condition is formulated as an operator inequality involving the nominal dynamics and the sector constraint. This is an infinite dimensional robustness test that must be truncated to be verified numerically. We discuss two possible ways of performing the analysis.
Keywords :
control nonlinearities; feedback; linear systems; multidimensional systems; nonlinear control systems; nonlinear dynamical systems; oscillations; robust control; autonomous feedback system; control nonlinearities; infinite dimensional robustness test; limit cycle robustness; linear system; local quadratic separation; nonlinear dynamics; periodic oscillation; time-periodic sector condition; Control nonlinearities; Control systems; Limit-cycles; Nonlinear control systems; Nonlinear dynamical systems; Oscillators; Robust control; Robustness; Topology; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
ISSN :
0191-2216
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2007.4434255
Filename :
4434255
Link To Document :
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