The class of stabilizing nonlinear plant controller pairs

Author

Paice, A.D.B. ; Van Der Schaft, Arjan J.

Author_Institution

Inst. fur Dynamische Syst., Bremen Univ., Germany

Volume

41

Issue

5

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

634

Lastpage

645

Abstract

In this paper a general approach is taken to yield a characterization of the class of stable plant controller pairs which is a generalization of the Youla parameterization for linear systems. This is based on the idea of representing the input-output pairs of the plant and controller as elements of the kernel of some related operator which is denoted the kernel representation of the system. It is demonstrated that in some sense the kernel representation is a generalization of the left coprime factorization of a general nonlinear system. Results giving one method of deriving a kernel representation for a nonlinear plant with a general state-space description are presented

Keywords

closed loop systems; control system analysis; matrix algebra; nonlinear systems; stability; state-space methods; Youla parameterization; coprime factorization; input-output pairs; kernel representation; nonlinear plant controller pairs; stabilization; state-space description; Control system synthesis; Control systems; Feedback; Kernel; Linear systems; Mathematics; Nonlinear control systems; Nonlinear systems; Optimal control; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.489201

Filename

489201