Controllability distributions and systems approximations: a geometric approach

Author

Ruiz, A.C. ; Nijmeijer, H.

Author_Institution

Dept. of Appl. Math., Twente Univ., Enschede, Netherlands

Volume

39

Issue

7

fYear

1994

fDate

7/1/1994 12:00:00 AM

Firstpage

1473

Lastpage

1476

Abstract

Given a nonlinear system we determine a relation at an equilibrium between controllability distributions defined for a nonlinear system and a Taylor series approximation of it. The value of such a relation is appreciated if we recall that the solvability conditions as well as the solutions to some control synthesis problems can be stated in terms of geometric concepts like controlled invariant (controllability) distributions. The relation between these distributions at the equilibrium will help us to decide when the solvability conditions of this kind of problems are equivalent for the nonlinear system and its approximation

Keywords

approximation theory; computability; computational geometry; control system synthesis; controllability; nonlinear control systems; series (mathematics); Taylor series approximation; control synthesis; controllability distributions; geometric approach; nonlinear analytic control system; solvability conditions; systems approximations; Control system analysis; Control system synthesis; Control systems; Control theory; Controllability; Impedance matching; Linear approximation; Nonlinear control systems; Nonlinear systems; Taylor series;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.299638

Filename

299638