Multivariable gain-phase and sensitivity integral relations and design trade-offs

Author

Chen, Jie

Author_Institution

Coll. of Eng., California Univ., Riverside, CA, USA

Volume

43

Issue

3

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

373

Lastpage

385

Abstract

We present several extensions of the classical Bode integral relations to multivariable systems. The main contributions are an extended gain-phase integral formula and an extended sensitivity integral relation. These results are useful for analyzing fundamental design limitations that arise in linear multivariable feedback systems. In particular, they provide important insights into feedback properties which are unique to multivariable systems and which cannot be inferred from the previously known integral relations applicable to single-input/single-output systems. Both results show that design limitations in multivariable systems depend strongly upon certain directionality properties

Keywords

Bode diagrams; MIMO systems; control system synthesis; feedback; linear systems; poles and zeros; sensitivity analysis; singular value decomposition; transfer functions; Bode integral relations; MIMO systems; feedback; gain-phase; linear systems; multivariable systems; poles; sensitivity; singular value decomposition; transfer function; zeros; Attenuation; Constraint theory; Feedback control; MIMO; Noise robustness; Poles and zeros; Robust stability; Sensor systems; Transfer functions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.661594

Filename

661594