Feedback linearization of single-input control affine time-varying nonlinear systems

Author

Guay, M.

Author_Institution

Dept. of Chem. Eng., Queen´s Univ., Kingston, ON, Canada

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

3721

Lastpage

3728

Abstract

In this paper, we propose and solve the problem of feedback linearization of single-input control affine time-varying nonlinear systems. Feedback linearizability of time-varying is shown to be equivalent to the orbital feedback linearizability (or feedback linearization by state-dependent time scaling) of an extended version of the time-varying system. Necessary and sufficient conditions for feedback linearizability are presented. The conditions are simple and can be checked directly from the data of the problem. Using an exterior calculus approach, a simple algorithm is developed to compute state-dependent time scaling that yield state-feedback linearizable time-varying systems.

Keywords

control system synthesis; differential equations; linearisation techniques; nonlinear control systems; state feedback; time-varying systems; affine time-varying system; exterior calculus approach; feedback linearization; nonlinear system; orbital feedback linearizability; single-input control; state-dependent time scaling; state-feedback; Calculus; Control systems; Equations; Europe; Generators; Nonlinear systems; Time-varying systems; Feedback Linearization; Orbital Linearization; Time Scaling;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076513