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Determination of non-standard input signal maximizing the absolute error

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents a method and algorithm for determining input signals which maximize the absolute value of error. Being maximum, the values of these errors are valid for any dynamic signal which might occur at the input of a real system. In this way all the possible signals are taken into consideration at the same time. It should be stressed that these can be non-determined signals whose form cannot be predicted a priori. Two types of signals are taken into consideration: signals with a magnitude constraint and signals constrained in magnitude and rate of change. Solutions derived in the paper enable calculation of the absolute value of error by means of analytical formulae which give precise results and can be realised in a very short time.
Rocznik
Strony
199--208
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
autor
  • Cracow University of Technology, Faculty of Electrical and Computer Engineering, Warszawska 24, 31-155 Kraków, Poland, pelayer@cyf-kr.edu.pl
Bibliografia
  • [1] B. Bartosinski, W. Toczek: “Some methods of diagnosis of analog circuits using mixed signal test bus IEEE 1149.4”. Metrol Meas Syst, vol. X, no. 2, 2003, pp. 157-172.
  • [2] I. Kricevskij: “O nakoplenii vozmuscenij v linejnych sistemach”. Teoria funkcji, funkcjonalnyj analiz i ich prilozenija”. vol. 3, 1967.
  • [3] I. Kricevskij, G.M. Ulanov: “Ob efektivnom obobscenii teorii nakoplenia otklonenij”. Prikladnaja matematika i mechnaika, vol. 37, 1973.
  • [4] E. Layer: “Theoretical Principles for Establishing a Hierarchy of Dynamic Accuracy with the Integral-Square-Error as an Example”. IEEE Trans. Inst. Meas., vol. 46, no. 5, 1997, pp. 1178-1182.
  • [5] E. Layer: “Mapping Error of Linear Dynamic Systems Caused by Reduced-Order Model”. IEEE Trans. Inst. Meas., vol. 50, 2001, pp.792-800.
  • [6] E. Layer: „Przestrzeń rozwiązań sygnałów maksymalizujących kwadratowy wskaźnik jakości”. Mat. Konf. Modelowanie i symulacja systemów pomiarowych. AGH, Krynica, 2001, pp.25-28. (in Polish)
  • [7] E. Layer: “Shapes of Input Signals for Calibration of Measuring Systems Intended for the Measurement of Dynamic Signals”. Proc. IMEKO TC7 Symp., Cracow, 2002, pp. 146-149.
  • [8] E. Layer: Modelling of Simplified Dynamical Systems. Springer-Verlag, Berlin, Heidelberg New York, 2002.
  • [9] E. Layer: “Non-standard input signals for the calibration and optimization of the measuring systems”. Measurement, vol.34, issue 2, 2003, pp.179-186.
  • [10] M. Ljubojevicz: “Suboptimal input signal for linear system identification”. Int. J. Control 17, 1973, pp. 659-669.
  • [11] N.K. Rutland: “The Principle of Matching: Practical Conditions for Systems with Inputs Restricted in Magnitude and Rate of Change”. IEEE Trans. Autom. Control, vol. 39, 1994, pp. 550-553.
  • [12] K. Tomczyk: “Optymalizacja parametrów matematycznych modeli wzorców ze względu na transformacje niezniekształcająca”. Mat. V Sympozjum. nt. Pomiarów Dynamicznych, Szczyrk, Prace Komisji Metrologii PAN, Katowice, 2005, pp. 119-128. (in Polish)
  • [13] K. Tomczyk: “Application of genetic algorithm to measurement system calibration intended for dynamic measurement”. Metrol Meast Syst, vol. XIII, no. 1, 2006, pp. 193-203.
  • [14] K. Tomczyk: “Computer aided system for determining maximum dynamic errors of chosen measuring instruments”. PhD thesis, Cracow University of Technology, Cracow, 2006.
  • [15] V. Zakian: “Critical Systems and Tolerable Inputs”. Int. J. Control, vol.49, 1989, pp. 1285-1289.
  • [16] V. Zakian: “Perspectives of the Principle of Matching and the Method of Inequalities”. Int. J. Control, vol. 65, 1996, pp.147-175.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW1-0058-0001
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