A state-space approach to parameterization of stabilizing controllers for nonlinear systems

Author

Lu, Wei-Min

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

40

Issue

9

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

1576

Lastpage

1588

Abstract

A state-space approach to the Youla parameterization of stabilizing controllers for linear and nonlinear systems is suggested. The stabilizing controllers (or a class of stabilizing controllers for nonlinear systems) are characterized as fractional transformations of stable parameters. The main idea behind this approach is to decompose the output feedback stabilization problem into state feedback and state estimation problems. The parameterized output feedback controllers have separation structures. This machinery allows the parameterization of stabilizing controllers to be conducted directly in state space without using coprime factorization

Keywords

feedback; nonlinear control systems; stability; state estimation; state feedback; state-space methods; Youla parameterization; fractional transformations; linear systems; nonlinear systems; output feedback stabilization problem; parameterized output feedback controllers; separation structures; stabilizing controllers parameterization; stable parameters; state estimation problems; state feedback problems; state-space approach; Control systems; Linear systems; Machinery; Nonlinear control systems; Nonlinear systems; Optimal control; Output feedback; Stability; State estimation; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.412627

Filename

412627