Statistical Analysis of First Order Plus Dead-time System using Operational Matrix
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Statistical Analysis of First Order Plus Dead-time System using Operational Matrix

Authors: Pham Luu Trung Duong, Moonyong Lee

Abstract:

To increase precision and reliability of automatic control systems, we have to take into account of random factors affecting the control system. Thus, operational matrix technique is used for statistical analysis of first order plus time delay system with uniform random parameter. Examples with deterministic and stochastic disturbance are considered to demonstrate the validity of the method. Comparison with Monte Carlo method is made to show the computational effectiveness of the method.

Keywords: First order plus dead-time, Operational matrix, Statistical analysis, Walsh function.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1071656

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References:


[1] K. A. Puvkov, N. D. Egupov, A. M. Makarenkov, Theory and Numerical Methods for Studying Stochastic Systems. Moscow, Fizmatlits, 2003 (in Russian).
[2] E. V. Seregina, A . M. Makarenkov , M .A. Stepovich, "Use of the projective method for determining statistical characteristics of the solution to the differential diffusion equation of minority carriers generated in a semiconductor material by a Wide Electron Beam" in Journal of Surface Investigation. X-ray, Synchrotron and Neutron Techniques, Vol. 3, No. 3, 2009, pp. 468-482
[3] S. V. Lapin and N. D. Egupov, Theory of Matrix Operators and its Application to Automatic Control Problems. Moscow, MGTU, 1997(in Russian)
[4] V. I. Smirnov, Course of Higher Mathematics. Moscow, Nauka, 1967(in Russian)
[5] K. A. Puvkov, N. D. Egupov, Classical and modern theory of control system. Moscow, MGTU , Vol.2 ,ch.2