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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