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Proceedingsof 23rd Conference on Decision and Control
 

Summary: Proceedingsof 23rd Conference
on Decision and Control
b s Vegas, NV, December 1984 WPIO = 4:30
CONTROL DESIGN USING POLYNOMIAL MATRIX INTERPOLATION
P . J . A n t s a k l i s andR.Lopez
Department of Electrical Engineering
University of Notre Dame
Notre Dame, I N 46556
I n t r o d u c t i o n
Thetheoryofpolynomial and r a t i o n a lf u n c t i o n
i n t e r p o l a t i o n is wellunderstood and i t s importancein
many d i s c i p l i n e s i s well known [1,2].Recently, a
t h e o r yg e n e r a l i z i n gc e r t a i ni n t e r p o l a t i o nr e s u l t st o
polynomialmatrices was introduced[3,41.This gen-
e r a l i z a t i o na p p e a r st ob e well s u i t e dt os t u d y andre-
s o l v e a varietyofmultivariablesystem and c o n t r o l
p roblems.
Many controlproblemscanbeformulatedin terms
ofpolynomialequations(e.%.theDiophantineequation
XD+YN=Q) w h e r es o l u t i o n sw i t hs p e c i f i cp r o p e r t i e sa r e

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering