DocumentCode
2295597
Title
A sector condition for local robustness of limit cycles
Author
Jönsson, U.T.
Author_Institution
Optimization & Syst. Theor., R. Inst. of Technol., Stockholm
fYear
2006
fDate
14-16 June 2006
Abstract
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 range. The main analysis condition can be formulated as a feasibility problem for linear matrix inequalities
Keywords
control system analysis; feedback; limit cycles; linear matrix inequalities; nonlinear systems; periodic control; robust control; autonomous feedback system; bounded amplitude range; bounded frequency range; limit cycle; linear matrix inequality; nonlinear dynamics; periodic oscillation robustness; quadratic separation; sector condition; separable nonlinearity; Biological system modeling; Computational biology; Feedback; Fourier transforms; Frequency; Limit-cycles; Linear matrix inequalities; Robust stability; Robustness; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2006
Conference_Location
Minneapolis, MN
Print_ISBN
1-4244-0209-3
Electronic_ISBN
1-4244-0209-3
Type
conf
DOI
10.1109/ACC.2006.1657515
Filename
1657515
Link To Document