Perfect observers for fractional discrete-time linear systems
Kybernetika (2016)
- Volume: 52, Issue: 6, page 914-928
- ISSN: 0023-5954
Access Full Article
topAbstract
topHow to cite
topPawluszewicz, Ewa. "Perfect observers for fractional discrete-time linear systems." Kybernetika 52.6 (2016): 914-928. <http://eudml.org/doc/287869>.
@article{Pawluszewicz2016,
abstract = {A perfect (exact) fractional observer of discrete-time singular linear control system of fractional order is studied. Conditions for its existence are given. The obtained results are applied to the detectability problem of the class of systems under consideration.},
author = {Pawluszewicz, Ewa},
journal = {Kybernetika},
keywords = {perfect observer; $h$-difference fractional operator; linear control system; singular system},
language = {eng},
number = {6},
pages = {914-928},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Perfect observers for fractional discrete-time linear systems},
url = {http://eudml.org/doc/287869},
volume = {52},
year = {2016},
}
TY - JOUR
AU - Pawluszewicz, Ewa
TI - Perfect observers for fractional discrete-time linear systems
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 6
SP - 914
EP - 928
AB - A perfect (exact) fractional observer of discrete-time singular linear control system of fractional order is studied. Conditions for its existence are given. The obtained results are applied to the detectability problem of the class of systems under consideration.
LA - eng
KW - perfect observer; $h$-difference fractional operator; linear control system; singular system
UR - http://eudml.org/doc/287869
ER -
References
top- Abdeljawad, T., Baleanu, D., Fractional differences and integration by parts., J. Comput. Analysis Appl. 13 (2011), 3, 574-582. Zbl1225.39008MR2752428
- Atici, F. M., Eloe, P. W., A transform method in discrete fractional calculus., Int. J. Difference Equations 2 (2007), 165-176. MR2493595
- Bastos, N. R. O., Ferreira, R. A. C., Torres, D. F. M., 10.3934/dcds.2011.29.417, Discrete Contin. Dyn. Syst. 29 (2011), 2, 417-437. Zbl1209.49020DOI10.3934/dcds.2011.29.417
- Dai, L., 10.1109/9.387, IEEE Trans. Automat. Control 33 (1988), 2, 187-191. Zbl0633.93025MR0922795DOI10.1109/9.387
- Darouach, M., Boutat-Baddas, L., 10.1109/tac.2008.2007868, IEEE Trans. Automat. Control 53 (2008), 11, 2627-2633. MR2474831DOI10.1109/tac.2008.2007868
- Duarte-Mermoud, M. A., Mira, M. J., Pelissier, I. S., Travieso-Torres, J. C., 10.1109/icca.2010.5524496, In: Proc. 8th IEEE Int. Conf. on Control and Automation, Xiamen 2010, pp. 573-577. DOI10.1109/icca.2010.5524496
- Dzielinski, A., Sierociuk, D., Sarwas, G., 10.2478/v10175-010-0059-6, Bull. Pol. Acad. Sci. Tech. Sci. 58 (2010), 4, 583-59. Zbl1220.80006DOI10.2478/v10175-010-0059-6
- Ferreira, R. A. C., Torres, D. F. M., 10.2298/aadm110131002f, Appl. Anal. Discrete Math. 5 (2011), 1, 110-121. Zbl1289.39007MR2809039DOI10.2298/aadm110131002f
- Fiacchini, M., Millerioux, G., 10.1109/tac.2013.2261712, IEEE Trans. Automat. Control 58 (2013), 12, 3230-3235. DOI10.1109/tac.2013.2261712
- Girejko, E., Mozyrska, D., Wyrwas, M., 10.1007/978-3-319-00933-9_17, In: Comparison of -difference fractional operators (W. Mitkowski, J. Kacprzyk, and J. Baranowski, eds.), Springer 257 (2013), pp. 191-197. DOI10.1007/978-3-319-00933-9_17
- Isidori, A., Nonlinear Control Theory., Springer, 1991. Zbl0672.00015
- Kaczorek, T., Full-order perfect observers for continuous-time linear systems., Pomiary, Automatyka, Kontrola 1 (2001), 3-6. Zbl1007.93008
- Kaczorek, T., 10.1007/978-3-319-09900-2_1, In: Perfect Observers of Fractional Descriptor Continuous-Time Linear System (K. J. Latawiec, M. Lukaniszyn and R. Stanislawski, eds.), Lecture Notes in Electrical Engineering, Springer International Publishing 320 (2015), pp. 3-12. DOI10.1007/978-3-319-09900-2_1
- Miller, K. S., B, Ross, Fractional difference calculus., In: Proc. Int. Symp. on Univalent Functions, Fractional Calculus and their Applications, Nihon University, Kōriyama 1988, pp. 139-152. MR1199147
- Mozyrska, D., Girejko, E., 10.1007/978-3-0348-0516-2_14, In: Overview of the fractional h-difference operators, Springer 229 (2013), pp. 253-267. MR3060418DOI10.1007/978-3-0348-0516-2_14
- Mozyrska, D., Pawluszewicz, E., Wyrwas, M., 10.1080/00207721.2016.1216197, Int. J. Syst. Sci. 48 (2017), 4, 788-794. MR3566271DOI10.1080/00207721.2016.1216197
- Mozyrska, D., Wyrwas, M., 10.1007/978-3-319-09900-2_5, Discrete Dynamics in Nature and Society 2015, pp. 47-58. MR3321587DOI10.1007/978-3-319-09900-2_5
- Mozyrska, D., Wyrwas, M., Pawluszewicz, E., 10.1109/mmar.2015.7283894, In: Proc. 20th Int. Conf. on Methods and Models in Automation and Robotics MMAR'2015, Miedzyzdroje 2915, pp. 315-319. DOI10.1109/mmar.2015.7283894
- N'Doye, I., Darouach, M., Zasadzinski, M., Radhy, N.-E., 10.1109/cdc.2011.6161336, In: Proc. 50th Int. Conf. on Decision and Control and European Control Conference CDC-ECC'2011, Orlando 2011, pp. 4017-4022. DOI10.1109/cdc.2011.6161336
- Slawinski, M., Kaczorek, T., Perfect observers for continuous time linear systems., Pomiary, Automatyka, Kontrola 1 (2004), 39-44.
- Sontag, E. D., 10.1007/978-1-4612-0577-7, Springer 1998. Zbl0945.93001MR1640001DOI10.1007/978-1-4612-0577-7
- Trigeassou, J. C., Poinot, T., Lin, J., Oustaloup, A., Levron, F., Modelling and identification of a non integer order system., In: Proc. European Control Conference ECC'1999, Karlsruhe 1999, pp. 2453-2458.
- Wolowich, W. A., 10.1007/978-1-4612-6392-0, Springer-Verlag, 1974. MR0359881DOI10.1007/978-1-4612-6392-0
- Wyrwas, M., Pawluszewicz, E., Girejko, E., 10.14736/kyb-2015-1-0112, Kybernetika 51 (2015), 1, 112-136. Zbl1340.39029MR3333836DOI10.14736/kyb-2015-1-0112
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.