Title :
Discrete-time multivariable criterion for limit cycle predictions
Author :
Kouvaritakis, B. ; Cameron, R.G.
Author_Institution :
University of Oxford, Department of Engineering Science, Oxford, UK
fDate :
11/1/1983 12:00:00 AM
Abstract :
Circulant matrices and their properties provide a new interpretation of limit-cycle phenomena in discrete-time nonlinear feedback systems. The present work extends the results of a recent paper in order to derive a multivariable circle type of criterion with a suitable Nyquist interpretation.
Keywords :
discrete time systems; feedback; limit cycles; multivariable control systems; nonlinear control systems; stability criteria; Nyquist interpretation; circulant matrices; discrete time systems; feedback systems; limit cycle predictions; multivariable control systems; nonlinear control systems; stability criteria;
Journal_Title :
Control Theory and Applications, IEE Proceedings D
DOI :
10.1049/ip-d.1983.0050