TY - JOUR

T1 - On Several Variable Zero Sets and Application to MIMO Robust Feedback Stabilization

AU - Fruchter, Gila

AU - Srebro, U.

AU - Zeheb, Ezra

PY - 1987/10

Y1 - 1987/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84944020223&partnerID=8YFLogxK

U2 - 10.1109/TCS.1987.1086056

DO - 10.1109/TCS.1987.1086056

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AN - SCOPUS:84944020223

SN - 0098-4094

VL - 34

SP - 1208

EP - 1220

JO - IEEE Transactions on Circuits and Systems

JF - IEEE Transactions on Circuits and Systems

IS - 10

ER -