Title :
A sector condition for local robustness of limit cycles
Author_Institution :
Optimization & Syst. Theor., R. Inst. of Technol., Stockholm
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;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657515
