Singular Perturbation Analysis for Trajectory Linearization Control

Author

Liu, Yong ; Zhu, J. Jim

Author_Institution

Ohio Univ., Athens

fYear

2007

fDate

9-13 July 2007

Firstpage

3047

Lastpage

3052

Abstract

Trajectory linearization control (TLC) is a nonlinear control design method, which combines an open-loop nonlinear dynamic inversion and a linear time-varying feedback stabilization. Singular perturbation theory has been applied in TLC applications to simplify the design procedure. In this paper, TLC design for a general nonlinear system with singular perturbation is illustrated. The stability of such design is analyzed. The analysis is based on the Lyapunov second method and linear time-varying spectra theory, which belongs to Lyapunov first method. It provides a guideline to TLC design with singular perturbation.

Keywords

Lyapunov methods; feedback; linear systems; nonlinear dynamical systems; open loop systems; perturbation techniques; position control; stability; time-varying systems; Lyapunov second method; linear time-varying feedback stabilization; nonlinear control design method; open-loop nonlinear dynamic inversion; singular perturbation analysis; trajectory linearization control; Actuators; Bandwidth; Control design; Control systems; Linear feedback control systems; Nonlinear control systems; Nonlinear systems; Open loop systems; Time varying systems; Vehicle dynamics;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2007. ACC '07

Conference_Location

New York, NY

ISSN

0743-1619

Print_ISBN

1-4244-0988-8

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2007.4282936

Filename

4282936