Title :
About a normal “column-form” for nonlinear discrete-time perturbed control systems
Author :
Barbot, J.-P. ; Monaco, S. ; Normand-Cyrot, D.
Author_Institution :
Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France
Abstract :
It is known that discrete-time singularly perturbed (DSP) dynamics do not exhibit a unique canonical representation. A study in the linear context is developed in Naidu and Rao (1958), Naidu (1988) and Mahmoud (1982) with respect to discrete-time and sampled dynamics showing that at least three different normal forms can be assumed for representing a linear discrete time singularly perturbed system (linear DSPS). Starting from the generalization of these concepts to a nonlinear context, the present work studies the properties for the existence of a nonlinear column-form representation of a nonlinear DSPS
Keywords :
discrete time systems; nonlinear control systems; perturbation techniques; column-form; discrete-time singularly perturbed dynamics; nonlinear discrete-time perturbed control systems; Control systems; Difference equations; Digital signal processing; Discrete transforms; Forward contracts; Nonlinear control systems; Nonlinear dynamical systems; Sufficient conditions;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325020
