Title :
Frequency response functions and Bode plots for nonlinear convergent systems
Author :
Pavlov, Alexey ; van de Wouw, N. ; Nijmeijer, Henk
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim
Abstract :
Convergent systems constitute a practically important class of nonlinear systems that extends the class of asymptotically stable LTI systems. In this paper we extend frequency response functions defined for linear systems to nonlinear convergent systems. Such nonlinear frequency response functions for convergent systems give rise to nonlinear Bode plots, which serve as a graphical tool for performance analysis of nonlinear convergent systems in the frequency domain. The results are illustrated with an example
Keywords :
Bode diagrams; asymptotic stability; convergence; frequency response; frequency-domain analysis; linear matrix inequalities; linear systems; nonlinear control systems; asymptotically stable LTI systems; frequency domain; frequency response function; linear systems; nonlinear Bode plot; nonlinear convergent systems; Control systems; Electrical equipment industry; Frequency domain analysis; Frequency response; Linear systems; Nonlinear control systems; Nonlinear systems; Optical control; Performance analysis; Steady-state;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377669
