On several variable zero sets and application to MIMO robust feedback stabilization

Author

Fruchter, Gila ; Srebro, Uri ; Zeheb, Ezra

Volume

Issue

fYear

1987

fDate

10/1/1987 12:00:00 AM

Firstpage

1208

Lastpage

1220

Abstract

Given a complex-valued function $f$ which depends on $m$ real variables $s_1,\\cdots ,s_m$ and $n$ complex parameters $A_1,\\cdots ,A_n$ , we describe a method of finding the zero set $V$ of all zeros of $f$ in some given set $G$ in $R^m$ when each parameter $A_i$ is allowed to vary in some given set $K_i$ in the extended complex plane $\\overline {\\bf C} = {\\bf C} cup{\\infty }$ . This mathematical tool is applied in the paper to determine the complete space of output (or state) feedback gains, which allows robust stabilization of a linear MIMO system under uncertainty conditions. The system may be continuous or discrete. Also, the stabilization may be "relative," i.e., with safety margins. Design examples are provided.

Keywords

General circuits and systems theory; Multivariable functions; Robustness, linear systems; Stability, linear systems; Equations; MIMO; Output feedback; Robustness; Signal design; Signal processing algorithms; Stability; State feedback; System testing; Uncertainty;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/TCS.1987.1086056

Filename

1086056

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1195941