Determining the dwell time constraint for switched H filters

• Autorzy: Horváth Zsolt , Edelmayer András

Identyfikatory

DOI

10.15199/48.2019.03.03

Warianty tytułu

PL

Agorytm do określania minium czasowego miedzy kolejnymi przełączeniami liniowego filtru do detekcji błędu H

• Języki publikacji: EN

Abstrakty

EN

This paper presents an algorithm for determining the minimum dwell time constraint for switched linear H fault detection filters. When applying switched systems, ensuring the stability is a crucial part, which can be guaranteed, when we switch slowly enough between the subsystems, more precisely the intervals between two consecutive switching, called dwell time, are large enough. The problem formulation is based on multiple Lyapunov functions and is expressed through a special form of linear matrix inequities (LMIs), which include a nonlinear term with the dwell time. This represents a multivariable time dependent optimization problem. To solve this special formulated LMIs, we propose an algorithm, called T -iteration, which is a combination of the procedure of interval halving with an LMI solver. The results of the illustrative example suggest further benefits.

PL

W artykule zaprezentowano algorytm do określania minium czasowego miedzy kolejnymi przełączeniami liniowego filtru do detekcji błędu H. Sformułowanie problemu bazuje na wielokrotnej funkcji Lapunva. Do rozwiązania tego problmu zaproponowano algorytm T -iteration który jest kombinacją procedury połówkowania intwerwału z wykorzystanie solvera LMI.

Słowa kluczowe

EN

switched linear system; dwell time constraint; MFARE

PL

filtr przełączający; funkcja dwell; minimum czasu miedzy przełączeniami

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2019
• Tom: R. 95, nr 1
• Strony: 7--11
• Opis fizyczny: Bibliogr. 25 poz., tab.

Twórcy

autor

Horváth Zsolt

• Széchenyi István University, Győr

autor

Edelmayer András

• Széchenyi István University, Győr
• Hungarian Academy of Sciences, Budapest

Bibliografia

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• [5] A. Alessandri A., Coletta P., Switching observers for continuous-time and discrete-time linear systems, In Proceedings of the American Control Conference Arlington, VA (June, 2001)
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• [8] Chen W., Saif M., Observer design for linear switched control systems, American Control Conference Proceedings of the 2004, 0-7803-8335-4, Boston, (2004)
• [9] Colaneri P., Geromel J.C. and Astolfi A., Stabilization of continuous-time switched nonlinear systems, Systems Control Lett., (2008), 57-1, 95-103
• [10] Geromel J.C. and Colaneri P., Stability and stabilization of continuous time switched linear systems, SIAM J. on Contr. Optim.,(2006), 45-5, 1915-1930
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• [12] Edelmayer A., Fault detection in dynamic systems: From state estimation to direct input reconstruction, UniversitasGyőr Nonprofit Kft., Győr, (2012)
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• [16] Horváth Zs., Edelmayer A., Solving of the Modified Filter Algebraic Riccati Equation for H-infinity fault detection filtering, Acta Universitatis Sapientiae Electrical and Mechanical Engineering, (2017), Vol. 9, pp. 57-77
• [17] Bokor J., Gáspár P., Szabó Z., Robust Control Theory, Typotex, Budapest, (2013)
• [18] Boyd S., Ghaoui L.E., Feron E. and Balakrishnan V., Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, (1994)
• [19] Nesterow Y., Nemirovski A., Interior Point Polynomial Methods in Convex Programming: Theory and Applications, SIAM, Philadelphia, (1994)
• [20] Gahinet P, Apkarian P., A linear matrix inequality approach to H∞ control, International Journal of Robust and Nonlinear Control, (1994), Vol.4, pp.421–448
• [21] Duan G., Yu R., H. H., LMIs in Control Systems: Analysis, Design and Applications, CRC Press, Boca Raton, (2013)
• [22] See supplementary material at https://www.mathworks.com/help/robust/ref/feasp.html
• [23] Gahinet P., Nemirovski A., Laub A.J. and Chilali M. , LMI Control Toolbox for Use with Matlab, The MathWorks Inc., Natick, (1995)
• [24] See supplementary material at http://home.deib.polimi.it/prandini/file/2015_06_16%20hybrid %20systems_2.pdf
• [25] See supplementary material at https://www.mathworks.com/help/robust/ref/eig.html

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).