Robustness analysis of multivariable systems with time delays

Author

Gunawan, R. ; Russell, E.L. ; Braatz, R.D.

Author_Institution

Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

1882

Lastpage

1887

Abstract

A necessary and sufficient condition for robustness of linear time invariant (LTI) systems with multiple uncertain time delays in the framework of the structured singular value μ is derived. The robustness condition coupled with a transformation algorithm enables nonconservative robustness analysis to be performed on systems with multiple time delay uncertainties using existing robustness software. The stability margins for two benchmark state delay problems are exact to 4 significant figures. Further, robust performance is analyzed for a simplified paper machine model with 80 real rational parameter variations and 20 time delay uncertainties controlled by a time delay compensator.

Keywords

compensation; delay systems; large-scale systems; linear systems; multidimensional systems; multivariable control systems; robust control; singular value decomposition; uncertain systems; LTI system; benchmark state delay problem; linear time invariant system; multiple uncertain time delay; multivariable system; necessary and sufficient condition; nonconservative robustness analysis; paper machine model; robustness condition; robustness software; stability margin; structured singular value; time delay compensator; time delay uncertainty; time delays; transformation algorithm; Benchmark testing; Delay effects; Delays; Robustness; Stability criteria; Uncertainty; infinite dimensional systems; large scale systems; robust control; time delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076196