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A study on new right/left inverses of nonsquare polynomial matrices

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Hunek W., Latawiec K.
International Journal of Applied Mathematics and Computer Science
|
2011
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tom 21
|
nr 2
331-348
EN
This paper presents several new results on the inversion of full normal rank nonsquare polynomial matrices. New analytical right/left inverses of polynomial matrices are introduced, including the so-called τ-inverses, σ-inverses and, in particular, S-inverses, the latter providing the most general tool for the design of various polynomial matrix inverses. The applicationoriented problem of selecting stable inverses is also solved. Applications in inverse-model control, in particular robust minimum variance control, are exploited, and possible applications in signal transmission/recovery in various types of MIMO channels are indicated.
2
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Some algorithmic aspects of subspace identificationwith inputs

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Chiuso A., Picci G.
International Journal of Applied Mathematics and Computer Science
|
2001
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tom 11
|
nr 1
55-75
EN
It has been experimentally verified that most commonly used subspace methods for identification of linear state-space systems with exogenous inputs may, in certain experimental conditions, run into ill-conditioning and lead to ambiguous results. An analysis of the critical situations has lead us to propose a new algorithmic structure which could be used either to test difficult cases andor to implement a suitable combination of new and old algorithms presented in the literature to help fixing the problem.
3
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On directional change and anti-windup compensation in multivariable control systems

100%
Horla D.
International Journal of Applied Mathematics and Computer Science
|
2009
|
tom 19
|
nr 2
281-289
EN
The paper presents a novel description of the interplay between the windup phenomenon and directional change in controls for multivariable systems (including plants with an uneven number of inputs and outputs), usually omitted in the literature. The paper also proposes a new classification of anti-windup compensators with respect to the method of generating the constrained control signal.
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