Dynamic inversion for nonaffine-in-control systems via time-scale separation: part I

Author

Hovakimyan, Naira ; Lavretsky, Eugene ; Sasane, Amol J.

Author_Institution

Aerosp. & Ocean Eng., Virginia Polytech Inst. & State Univ., Blacksburg, VA, USA

fYear

2005

fDate

8-10 June 2005

Firstpage

3542

Abstract

This paper presents a new method for approximate dynamic inversion for nonaffine-in-control systems via time-scale separation. The control signal is sought as a solution of "fast" dynamics and is shown to asymptotically stabilize the original nonaffine system. Sufficient conditions are formulated, which are consistent with the assumptions of Tikhonov\´s theorem in singular perturbations theory. Several examples illustrate the theoretical results.

Keywords

asymptotic stability; control system synthesis; feedback; linearisation techniques; nonlinear control systems; nonlinear dynamical systems; singularly perturbed systems; control signal; dynamic inversion; feedback linearization; nonaffine-in-control systems; singular perturbations theory; time-scale separation; Aerodynamics; Aerospace materials; Control design; Control systems; Force feedback; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2005. Proceedings of the 2005

ISSN

0743-1619

Print_ISBN

0-7803-9098-9

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2005.1470522

Filename

1470522