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1

Embedded control system development for the solution of self-adjusted regulator design problem and its robustness properties estimation

Zamyatin S. V., Kurgankin V. V., Rudnicki V. A.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2014

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Vol. 62, nr 2

341--347

EN

The possibility of the embedded automatic-control system construction for a self-adjusted regulator design on the basis of dynamic compensation principle is observed. The description of mathematical and algorithmic apparatus of Control Object identification in a digital form resulted in a design of the regulator. Results of natural experiments are given. An analysis of the regulator robustness properties is carried out.

2

Multi-loop control system design

Alekseev A., Zamyatin S., Rudnicki V.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2012

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Vol. 60, nr 3

627-630

EN

The approach based on a special case of the Laplace transform, which allows to design multi-loop system is considered. The tuning regulators program on the base of this approach is developed. The numerical example is shown.

3

Real Interpolation between Row and Column Spaces

Pisier G.

Bulletin of the Polish Academy of Sciences. Mathematics

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2011

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Vol. 59, no 3

237--259

EN

We give an equivalent expression for the K-functional associated to the pair of operator spaces (R,C) formed by the rows and columns respectively. This yields a description of the real interpolation spaces for the pair (Mn(R),Mn(C)) (uniformly over n). More generally, the same result is valid when Mn (or B(ℓ2)) is replaced by any semi-finite von Neumann algebra. We prove a version of the non-commutative Khintchine inequalities (originally due to Lust-Piquard) that is valid for the Lorentz spaces Lp,q(τ) associated to a non-commutative measure τ, simultaneously for the whole range 1≤p,q<∞, regardless of whether p<2 or p>2. Actually, the main novelty is the case p=2, q/=2. We also prove a certain simultaneous decomposition property for the operator norm and the Hilbert–Schmidt norm.

4

Real interpolation method in automatic control systems self-adjustment problem

Goncharov V., Rudnicki V.

Systems Science

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2010

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Vol. 36, no 3

33-37

EN

Practice demonstrates that most of existing methods and techniques of adjustment of the automatic control systems cannot provide the appropriate quality of the systems performing. That is why nowadays main attention is paid to adaptive methods and algorithms. In this paper, the Real Interpolation Method is offered for creation of adaptive Automatic Control Systems. It is based on use of a special case of the Laplace transformation, when the complex variable p = delta + j*omega comes to real part delta. Due to this approach the number of operations is decreased more than twice in comparison with the frequency domain methods and it considerably simplifies algorithms of self-adjustment of Automatic Control Systems.

5

Tools of control object identification

Goncharov V., Rudnicki V.

Systems Science

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2008

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Vol. 34, no 2

43-47

EN

In this paper, the problem of construction of the hardware-software means intended for maintenance of manual and automated regimes of automatic control system adjustment is considered. For the solution of the problem, the Real Interpolation Method is offered. Two important procedures which guarantee decreasing of computation costs in comparison with traditional methods are in its basis. Firstly, a special discrete transformation of time functions is used and derivable functions-images have real argument. Secondly, these functions are replaced with discrete forms, which can describe control system, its elements and signals. The offered way of problem decision is illustrated with numerical example.