Title :
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
fDate :
11/1/2001 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
