Effects of radial shifts of eigenvalues on norms of linear systems

Author

Medanic, J.

Author_Institution

Dept. of Gen. Eng., Illinois Univ., Urbana, IL, USA

Volume

5

fYear

2000

fDate

2000

Firstpage

4996

Abstract

We show that for linear systems represented in the controllable canonical form there are simple and systematic changes in the input/output properties of the closed-loop system from the disturbance input to the system output when controls are applied to produce a radial displacement of all the closed-loop poles. In particular this is true for the transfer function and the impulse response of the systems. This in turn leads to a better understanding of how such changes in the control gains affect the induced L₂ norm, (the H₂ norm) and the induced L_∞ norm (the L₁ norm) of the system

Keywords

closed loop systems; eigenvalues and eigenfunctions; linear systems; poles and zeros; stability; transfer functions; transient response; H₂ norm; L₁ norm; closed-loop poles; control gains; controllable canonical form; disturbance input; impulse response; induced L_∞ norm; induced L₂ norm; input/output properties; radial displacement; radial shifts; Artificial intelligence; Control systems; Design methodology; Displacement control; Eigenvalues and eigenfunctions; Electrical capacitance tomography; Equations; Laboratories; Linear systems; Modems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914725

Filename

914725