A polynomial approach to nonlinear system controllability

Author

Zheng, Yufan ; Willems, Jan C. ; Zhang, Cishen

Author_Institution

Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia

Volume

46

Issue

11

fYear

2001

fDate

11/1/2001 12:00:00 AM

Firstpage

1782

Lastpage

1788

Abstract

Uses a polynomial approach to present a necessary and sufficient condition for local controllability of single-input-single-output (SISO) nonlinear systems. The condition is presented in terms of common factors of a noncommutative polynomial expression. This result exposes controllability properties of a nonlinear system in the input-output framework, and gives a computable procedure for examining nonlinear system controllability using computer algebra

Keywords

controllability; nonlinear control systems; polynomials; SISO nonlinear systems; common factors; computer algebra; input-output framework; local controllability; necessary and sufficient condition; noncommutative polynomial expression; noncommutative ring; nonlinear system controllability; polynomial approach; single-input-single-output nonlinear systems; Control systems; Controllability; Linear systems; Nonlinear control systems; Nonlinear systems; Polynomials; State-space methods; Sufficient conditions; Switches; System testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.964691

Filename

964691