A Method to Obtain the Infinity-Norm of Systems using the Routh Table

Author

Aghdam, Amir G.

Author_Institution

Concordia Univ., Montreal

fYear

2006

fDate

24-26 July 2006

Firstpage

1

Lastpage

6

Abstract

In this paper, a method is proposed to compute the infinity-norm of the systems that are single-input single-output (SISO), linear time-invariant (LTI), strictly proper and finite-dimensional. The method uses state-space model of the system and applies one of the special conditions of the Routh table to a polynomial obtained from the system model. The proposed method is simple and provides an analytical solution for the infinity-norm of systems. The frequency corresponding to the infinity-norm of the system can also be determined. The method can also be used to determine the sensitivity of the infinity-norm to the parameters of the system.

Keywords

Routh methods; T invariance; multidimensional systems; polynomials; state-space methods; Routh table; finite-dimensional system; infinity-norm; linear time-invariant system; polynomial; single-input single-output system; state-space model; strictly proper system; Automation; Control design; Control systems; Eigenvalues and eigenfunctions; Equations; Frequency; H infinity control; Mathematical model; Polynomials; Robust control; Finite dimensional LTI systems; Infinity norm; Routh table;

fLanguage

English

Publisher

ieee

Conference_Titel

Automation Congress, 2006. WAC '06. World

Conference_Location

Budapest

Print_ISBN

1-889335-33-9

Type

conf

DOI

10.1109/WAC.2006.375964

Filename

4259880