Article information

1999 , Volume 4, ¹ 4, p.3-13

Ivlev R.S., Sokolova S.P.

Constructing vector control for an /intervally/ specified multivariable object

This paper deals with the modal controller synthesis for a linear intervally specified multi-variable time-invariant control object with full state information. At present, a lot of papers are devoted to this problem, but most of them use the idea of reducing multi-variable system to its equivalent with scalar input. Such a problem statement is trivial. The method we present for the modal controller synthesis relies on the use of Sylvester matrix equation. An algebraic approach is used for finding the inner interval estimates of a generalized solution set of Sylvester interval matrix equation.

[full text] Classificator Msc2000:
*15A24 Matrix equations and identities
65F30 Other matrix algorithms
65G30 Interval and finite arithmetic
65K10 Optimization and variational techniques
93B05 Controllability
93C35 Multivariable systems
Classificator Computer Science:
*G.1.0 General (Numerical Analysis)
G.1.3 Numerical Linear Algebra
G.1.6 Optimization
I.2.8 Problem Solving, Control Methods, and Search

Keywords: interval method, vectorial control, linear multivariable time-invariant control, Sylvester interval matrix equation

Author(s):
Ivlev R.S.
Address: 480100, Kazakhstan, Almatu
E-mail: lns@ipic.academ.alma-ata.su

Sokolova Svetlana Petrovna
Address: 480100, Kazakhstan, Almatu
E-mail: lns@ipic.academ.alma-ata.su


Bibliography link:
Ivlev R.S., Sokolova S.P. Constructing vector control for an /intervally/ specified multivariable object // Computational technologies. 1999. V. 4. ¹ 4. P. 3-13
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