Robust stability in sequential MIMO QFT

Author

Kerr, Murray ; Jayasuriya, Suhada ; Asokanthan, Samuel

Author_Institution

Dept. of Mech. Eng., Queensland Univ., Brisbane, Qld., Australia

Volume

6

fYear

2003

fDate

4-6 June 2003

Firstpage

4834

Abstract

The stability of multivariable linear time invariant control systems designed using sequential MIMO quantitative feedback theory (QFT) is examined. The class of systems considered have structured plant transfer function matrices (TFM) that are square and invertible and controllers TFM that are diagonal. By formulating the sequential design in both the direct plant domain and inverse plant domain a common set of design equations are developed. Necessary and sufficient conditions for robust closed-loop internal stability are derived that demonstrate the closed-loop system is stable if the final loop is stable. The results unify the sequential design approaches for stability and the design equations improve the transparency of sequential MIMO QFT.

Keywords

MIMO systems; closed loop systems; control system synthesis; feedback; robust control; stability; transfer function matrices; closed-loop system; controllers TFM; design equation; direct plant domain; inverse plant domain; multiple-input multiple-output; necessary condition; quantitative feedback theory; robust closed-loop internal stability; robust stability; sequential MIMO QFT; sequential design approach; structured plant TFM; sufficient condition; transfer function matrices; Bandwidth; Control systems; Design methodology; Equations; Linear feedback control systems; MIMO; Mechanical engineering; Robust stability; Sufficient conditions; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1242488

Filename

1242488