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An Algorithm for the Calculation of the Dwell Time Constraint for Switched ℋ∞ Filters Cover

An Algorithm for the Calculation of the Dwell Time Constraint for Switched ℋ∞ Filters

Open Access
|Feb 2019

References

  1. [1] Paxman, J., “Switching Controllers: Realization, Initialization and Stability”, Ph.D Dissertation, University of Cambridge, 2003.
  2. [2] DeCarlo, R. A., Branicky, M.S., Pettersson, S. and Lennartson, B., “Perspectives and Results on the Stability and Stabilizability of Hybrid Systems”, in Proc. IEEE, Vol. 88, pp. 1069–1082., 2000.10.1109/5.871309
  3. [3] Liberzon, D., Morse, A. S., “Basic Problems in Stability and Design of Switched Systems”, IEEE Contr. Syst., pp. 59–70., 1999.10.1109/37.793443
  4. [4] Hespanha, J. P., Morse, A.S., “Stability of switched systems with average dwell-time”, Proc. 38th Conf. Decision and Control, 1999, pp. 2655–2660.
  5. [5] Alessandri, A., Coletta, P., “Switching observers for continuous-time and discrete-time linear systems”, in Proceedings of the American Control Conference Arlington, VA June 2001.10.1109/ACC.2001.946132
  6. [6] Colaneri, P., “Analysis and control of linear switched systems”, Lecture notes, Politecnico Di Milano, 2009.
  7. [7] Geromel, J. C., Colaneri, P., “H and Dwell Time Specifications of Switched Linear Systems”, Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Dec. 9–11.2008.10.1109/CDC.2008.4738606
  8. [8] Chen, W., Saif, M., “Observer design for linear switched control systems”, in American Control Conference Proceedings of the 2004, 0-7803–8335-4, Boston, 2004.
  9. [9] Colaneri, P., Geromel, J.C., and Astolfi, A., “Stabilization of continuous-time switched nonlinear systems”, Systems Control Letter, 57-1, pp. 95–103, 2008.10.1016/j.sysconle.2007.07.001
  10. [10] Geromel, J. C., Colaneri, P., “Stability and stabilization of continuous-time switched linear systems”, SIAM J. on Contr. Optim., 45-5, pp.1915–1930, 2006.10.1137/050646366
  11. [11] Karabacak, O., and Sengör, N. S., “A dwell time approach to the stability of switched linear systems based on the distance between eigenvector sets”, Int. J. System Science, 40(8), pp. 845–853, 2009.10.1080/00207720902974504
  12. [12] Edelmayer, A., “Fault detection in dynamic systems: From state estimation to direct input reconstruction”, Universitas-Győr Nonprofit Kft., Győr, 2012.
  13. [13] Edelmayer, A., Bokor, J., Keviczky, L., “An H Filtering Approach to Robust Detection of Failures in Dynamical Systems”, in Proc. 33th Annual Decision and Control, Conf., Buena Vista, USA, 1994, pp. 3037–3039.
  14. [14] Edelmayer, A., Bokor, J., Keviczky, L., “An H Filter Design for Linear Systems: Comparison of two Approaches”, IFAC 13th Triennial World Congress, San Francisco, USA, 1996.10.1016/S1474-6670(17)58701-7
  15. [15] Horváth, Zs., Edelmayer, A., “Robust Model-Based Detection of Faults in the Air Path of Diesel Engines”, Acta Universitatis Sapientiae Electrical and Mechanical Engineering, Vol. 7 pp. 5–22, 2015.
  16. [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, Vol. 9, pp. 57–77, 2017.10.1515/auseme-2017-0010
  17. [17] Bokor, J., Gáspár, P., Szabó, Z., “Robust Control Theory”, Typotex, Budapest, 2013.
  18. [18] Boyd, S., Ghaoui, L. E., Feron, E. and Balakrishnan, V., “Linear Matrix Inequalities in System and Control Theory”, SIAM, Philadelphia, 1994.10.1137/1.9781611970777
  19. [19] Nesterow, Y., Nemirovski, A., “Interior Point Polynomial Methods in Convex Programming: Theory and Applications”, SIAM, Philadelphia, 1994.
  20. [20] Gahinet, P, Apkarian, P., “A linear matrix inequality approach to H control”, International Journal of Robust and Nonlinear Control, Vol.4, pp.421–448, 1994.10.1002/rnc.4590040403
  21. [21] Duan, G., Yu, R., H., H., “LMIs in Control Systems: Analysis, Design and Applications”, CRC Press, Boca Raton, 2013.10.1201/b15060
  22. [22] https://www.mathworks.com/help/robust/ref/feasp.html
  23. [23] Gahinet, P., Nemirovski, A., Laub, A. J. and Chilali, M. “LMI Control Toolbox for Use with Matlab”, The MathWorks Inc., Natick, 1995.
  24. [24] http://home.deib.polimi.it/prandini/file/2015_06_16%20hybrid%20systems_2.pdf
  25. [25] https://www.mathworks.com/help/robust/ref/eig.html
Language: English
Page range: 5 - 19
Submitted on: Sep 28, 2018
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Accepted on: Nov 30, 2018
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Published on: Feb 1, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2019 Zsolt Horváth, András Edelmayer, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.