Robustness analysis for MIMO systems with unstructured uncertainties

Author

Son, Jung E. ; Mani, Arun S. ; Latchman, Haniph A.

Author_Institution

Electr. & Comput. Eng. Dept., Univ. of Florida, Gainesville, FL, USA

fYear

2010

fDate

9-11 June 2010

Firstpage

1333

Lastpage

1337

Abstract

This paper studies the relationship between the structured singular value and the Nyquist robust stability margin as applied to uncertain MIMO systems. The two stability criteria are evaluated for an open-loop unstable chemical reactor plant that has two inputs and two outputs. This numerical analysis gives an empirical demonstration of the relationship between the two stability margins and further research is targeted towards obtaining an analytical expression for some general classes of uncertainties.

Keywords

MIMO systems; Nyquist stability; chemical reactors; open loop systems; robust control; singular value decomposition; uncertain systems; MIMO Systems; Nyquist robust stability; numerical analysis; open loop unstable chemical reactor plant; robustness analysis; structured singular value; unstructured uncertainties; Chemical reactors; Eigenvalues and eigenfunctions; MIMO; Matrix decomposition; Numerical analysis; Robust stability; Robustness; Stability criteria; Transfer functions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2010 8th IEEE International Conference on

Conference_Location

Xiamen

ISSN

1948-3449

Print_ISBN

978-1-4244-5195-1

Electronic_ISBN

1948-3449

Type

conf

DOI

10.1109/ICCA.2010.5524321

Filename

5524321