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On practical stability of linear multivariable feedback systems with time-delays

✍ Scribed by Weining Feng

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
483 KB
Volume
27
Category
Article
ISSN
0005-1098

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✦ Synopsis

In this paper, practical stability properties of linear multivariable feedback systems with time-delays are studied. The control schemes considered are conventional feedback control and Smith Predictor control. Depending upon the known perturbation structures, tight conditions are given which guarantee practical stability of the control system. Nomenclature Field of real numbers. qg Field of complex numbers. ~,~Γ—n Matrices with m rows and n columns with elements in ~. qg-,Γ—n Matrices with m rows and n columns with elements in qg. Matrices with m rows and n columns with elements being rational transfer functions. Element ot belongs to set A. Absolute value of c e qg. Matrix M with elements being replaced by their absolute values. The real part of c e qg. ith eigenvalue of the matrix M E ~gmΓ—n. Largest singular value of matrix M β€’ ~mΓ—n. Spectral radius, max I,~(M)I; i = 1, 2 ..... n; M e canΓ—n. Structured singular value of matrix M β€’ ~,~Γ—n.

A generic symbol for some (small but not infinitesimal) negative number. A generic symbol for some complex number, *

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