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National Repository of Grey Literature 4 records found  Search took 0.14 seconds. 
Numerical algorithms for polynomial matrices
 Hromčík, Martin ; Šebek, Michael
This report is devoted to new numerical methods for computations with polynomials and polynomial matrices that are encountered when solving the problems of control systems design via the algebraic methods. A distinguishing feature of our approach is the extensive employment of the discrete Fourier transform techniques, namely of the famous Fast Fourier Transform routine and its relation topolynomial interpolation and Z-transform.
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Polynomial toolbox and control education
 Hromčík, Martin ; Šebek, Michael
In this report we give our experience with employing thePolynomial Toolbox for Matlab version 2 at the lectures and labs of Algebraic Design Methods course taught at the Czech Technical University in Prague. Practical examples illustrating the Toolbox performance and contribution are also included. Though we have been using the tool for teaching purposes for arelatively short time, our experience is positive and we find the Polynomial Toolbox a very useful software tool for teachers.
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Fast Fourier Transform and robustness analysis with respect to parametric uncertainties
 Hromčík, Martin ; Šebek, M.
In this paper two new numerical algorithms based on the Fast Fourier Transform techniques (FFT) are used to solve the structured robustness analysis problem in the case of one parameter entering polynomially. Both scalar and matrix cases are considered. The employed algorithms are namely numerical routines for the computation of one- and two-dimensional polynomial matrix determinants, based on the one- and two-dimensional FFT's respectively.
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Polynomial toolbox 2.5 and systems with parametric uncertainties
 Šebek, Michael ; Hromčík, Martin ; Ježek, Jan
Polynomial Toolbox is a new MATLAB toolbox for systems, signals and control analysis and design using polynomial methods. See www.polyx.cz for more details. This paper demonstrates on several examples how the Polynomial Toolbox solves various robust control problems for plants with parametric uncertainties. Both classical problems such as one-parameter, interval or polytopic uncertainty are discussed as well as cases with complicated uncertainty structure.
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