On Several Variable Zero Sets and Application to MIMO Robust Feedback Stabilization

Gila Fruchter, U. Srebro, Ezra Zeheb

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

Given a complex-valued function f which depends on m real variables s1, · · ·, sm and n complex parameters A1, · · ·, An, we describe a method of finding the zero set V of all zeros of f in some given set G in Rm when each parameter Ai is allowed to vary in some given set Ki in the extended complex plane C =CU {∞}. 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.

Original languageEnglish
Pages (from-to)1208-1220
Number of pages13
JournalIEEE Transactions on Circuits and Systems
Volume34
Issue number10
DOIs
StatePublished - Oct 1987
Externally publishedYes

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