Balancing for unstable nonlinear systems

Author

Scherpen, J.M.A.

Author_Institution

Dept. of Appl. Math., Twente Univ., Enschede, Netherlands

fYear

1993

fDate

15-17 Dec 1993

Firstpage

14

Abstract

A previously obtained method of balancing for stable nonlinear systems is extended to unstable nonlinear systems. The similarity invariants obtained by the concept of LQG balancing for an unstable linear system can also be obtained by considering a past and future energy function of the system. By considering a past and future energy function for an unstable nonlinear system, the concept of these similarity invariants for linear systems is extended to nonlinear systems. Furthermore the relation of this balancing method with the previously obtained method of balancing the coprime factorization of an unstable nonlinear system is considered. Both methods are introduced with the aim of using it as a tool for model reduction

Keywords

nonlinear control systems; optimal control; stability; LQG balancing; coprime factorization; energy function; model reduction; similarity invariants; unstable linear system; unstable nonlinear systems; Control theory; Eigenvalues and eigenfunctions; Jacobian matrices; Linear systems; Mathematics; Nonlinear equations; Nonlinear systems; Reduced order systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325198

Filename

325198