Global robust output regulation of a class of nonlinear systems with nonlinear exosystems

Yuan Jiang; Ke Lu; Jiyang Dai

Kybernetika (2020)

  • Volume: 56, Issue: 4, page 794-809
  • ISSN: 0023-5954

Abstract

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An adaptive output regulation design method is proposed for a class of output feedback systems with nonlinear exosystem and unknown parameters. A new nonlinear internal model approach is developed in the present study that successfully converts the global robust output regulation problem into a robust adaptive stabilization problem for the augmented system. Moreover, an output feedback controller is achieved based on a type of state filter which is designed for the transformed augmented system. The adaptive control technique is successfully introduced to the stabilization design to ensure the global stability of the closed-loop system. The result can successfully apply to a tracking control problem associated with the well known Van der Pol oscillator.

How to cite

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Jiang, Yuan, Lu, Ke, and Dai, Jiyang. "Global robust output regulation of a class of nonlinear systems with nonlinear exosystems." Kybernetika 56.4 (2020): 794-809. <http://eudml.org/doc/296925>.

@article{Jiang2020,
abstract = {An adaptive output regulation design method is proposed for a class of output feedback systems with nonlinear exosystem and unknown parameters. A new nonlinear internal model approach is developed in the present study that successfully converts the global robust output regulation problem into a robust adaptive stabilization problem for the augmented system. Moreover, an output feedback controller is achieved based on a type of state filter which is designed for the transformed augmented system. The adaptive control technique is successfully introduced to the stabilization design to ensure the global stability of the closed-loop system. The result can successfully apply to a tracking control problem associated with the well known Van der Pol oscillator.},
author = {Jiang, Yuan, Lu, Ke, Dai, Jiyang},
journal = {Kybernetika},
keywords = {output regulation; global stability; internal model; nonlinear systems},
language = {eng},
number = {4},
pages = {794-809},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Global robust output regulation of a class of nonlinear systems with nonlinear exosystems},
url = {http://eudml.org/doc/296925},
volume = {56},
year = {2020},
}

TY - JOUR
AU - Jiang, Yuan
AU - Lu, Ke
AU - Dai, Jiyang
TI - Global robust output regulation of a class of nonlinear systems with nonlinear exosystems
JO - Kybernetika
PY - 2020
PB - Institute of Information Theory and Automation AS CR
VL - 56
IS - 4
SP - 794
EP - 809
AB - An adaptive output regulation design method is proposed for a class of output feedback systems with nonlinear exosystem and unknown parameters. A new nonlinear internal model approach is developed in the present study that successfully converts the global robust output regulation problem into a robust adaptive stabilization problem for the augmented system. Moreover, an output feedback controller is achieved based on a type of state filter which is designed for the transformed augmented system. The adaptive control technique is successfully introduced to the stabilization design to ensure the global stability of the closed-loop system. The result can successfully apply to a tracking control problem associated with the well known Van der Pol oscillator.
LA - eng
KW - output regulation; global stability; internal model; nonlinear systems
UR - http://eudml.org/doc/296925
ER -

References

top
  1. Bodson, M., Douglas, S. C., 10.1016/s0005-1098(97)00149-0, Automatica 33 (1997), 2213-2221. MR1604113DOI10.1016/s0005-1098(97)00149-0
  2. Byrnes, C. I., Isidori, A., 10.1109/tac.2004.838492, IEEE Trans. Automat. Control 49 (2004), 2244-2247. MR2106753DOI10.1109/tac.2004.838492
  3. Chen, C., Ding, Z., Lennox, B., 10.1109/tcsii.2008.2009962, IEEE Trans. Circuits Systems, II: Express Briefs 55 (2008), 1289-1293. DOI10.1109/tcsii.2008.2009962
  4. Chen, Z., Huang, J., 10.1016/j.automatica.2005.03.015, Automatica 41 (2005), 1447-1454. Zbl1086.93013MR2160490DOI10.1016/j.automatica.2005.03.015
  5. Ding, Z., 10.1049/ip-cta:20041246, IEE Proc. Control Theory Appl. 152 (2005), 4, 460-464. DOI10.1049/ip-cta:20041246
  6. Ding, Z., 10.1109/tac.2005.864199, IEEE Trans. Automat. Control 51 (2006), 498-503. MR2205690DOI10.1109/tac.2005.864199
  7. Ding, Z., 10.1016/j.automatica.2006.08.006, Automatica 43 (2007), 174-177. MR2266785DOI10.1016/j.automatica.2006.08.006
  8. Ding, Z., Decentralized output regulation of large scale nonlinear systems with delay., Kybernetika 45 (2009), 33-48. Zbl1158.93303MR2489579
  9. Huang, X., Khalil, H. K., Song, Y., 10.1109/tac.2018.2839532, IEEE Trans. Automat. Control 64 (2019), 2, 640-653. MR3912114DOI10.1109/tac.2018.2839532
  10. Huang, J., Rugh, W. J., 10.1016/0005-1098(90)90081-r, Automatica 26 (1990), 963-972. MR1080983DOI10.1016/0005-1098(90)90081-r
  11. Isidori, A., 10.1016/0167-6911(96)00021-7, Systems Control Lett. 28 (1996), 2, 115-122. MR1404254DOI10.1016/0167-6911(96)00021-7
  12. Isidori, A., 10.1109/tac.2000.880972, IEEE Trans. Automat. Control 45 (2000), 10, 1817-1827. MR1795350DOI10.1109/tac.2000.880972
  13. Isidori, A., 10.1007/978-3-662-02581-9, Springer-Verlag, Berlin 2013. Zbl0931.93005MR0895138DOI10.1007/978-3-662-02581-9
  14. Isidori, A., Byrnes, C. I., 10.1109/9.45168, IEEE Trans. Automat. Control 35 (1990), 131-140. Zbl0989.93041MR1038409DOI10.1109/9.45168
  15. Isidori, A., Marconi, L., Serrani, A., 10.1109/cdc.2002.1184726, In: Proc. 41st IEEE Conference on Decision and Control, Las Vegas 2002, pp. 1467-1472. MR1760699DOI10.1109/cdc.2002.1184726
  16. Isidori, A., Marconi, L., Serrani, A., 10.1109/cdc.2003.1272535, In: Proc. 42nd IEEE Conference on Decision and Control, Maui 2003, pp. 55-60. MR2106753DOI10.1109/cdc.2003.1272535
  17. Jiang, Y., 10.1177/1077546311429051, J. Vibration Control 13 (2011), 6, 1916-1921. MR3179079DOI10.1177/1077546311429051
  18. Jiang, Y., Dai, J. Y., 10.1109/jas.2020.1003060, IEEE/CAA J. Autom. Sinica 7 (2020), 2, 568-574. MR4086660DOI10.1109/jas.2020.1003060
  19. Jiang, Y., Liu, S., 10.1002/asjc.193, Asian J. Control 18(2011), 12, 858-867. MR2869889DOI10.1002/asjc.193
  20. Jiang, Y., Liu, S. T., Wang, R. L., 10.1007/s11432-011-4481-7, Science China (Inform. Sci.) 56(2013), 3, 1-12. MR3028023DOI10.1007/s11432-011-4481-7
  21. Karagiannisa, D., Jiang, Z., Ortegac, R., al, et, 10.1016/j.automatica.2005.04.013, Automatica 41 (2005), 9, 1609-1615. MR2161124DOI10.1016/j.automatica.2005.04.013
  22. Marco, S. D., Marconi, L., Mahony, R., Hamel, T., 10.1016/j.automatica.2017.08.006, Automatica 87 (2018), 8-16. MR3733895DOI10.1016/j.automatica.2017.08.006
  23. Marino, R., Tomei, P., 10.1109/9.186309, IEEE Trans. Automat. Control 38 (1993), 17-32. MR1201492DOI10.1109/9.186309
  24. Nazrulla, S., Khalil, H. K., 10.1109/icca.2009.5410197, In: IEEE International Conference on Control Automation, IEEE, 2010. MR2814930DOI10.1109/icca.2009.5410197
  25. Nazrulla, S., Khalil, H. K., 10.1109/tac.2010.2069612, IEEE Trans. Automat. Control 56 (2011), 4, 802-813. MR2814930DOI10.1109/tac.2010.2069612
  26. Ramos, L. E., Čelikovský, S., Kučera, V., 10.1109/tac.2004.835404, IEEE Trans. Automat. Control 49 (2004), 1737-1742. MR2091325DOI10.1109/tac.2004.835404
  27. Rehák, B., Čelikovský, S., Ruiz-León, J., Orozco-Mora, J., A comparison of two fem-based methods for the solution of the nonlinear output regulation problem., Kybernetika 45 (2009), 427-444. MR2543132
  28. Tornambe, A., 10.1016/0167-6911(92)90113-7, Systems Control Lett. 19(1992), 3, 193-204. MR1180507DOI10.1016/0167-6911(92)90113-7
  29. Trinh, N. T., Andrieu, V., Xu, C. Z., 10.1016/j.automatica.2018.01.010, Automatica 91 (2018), 270-278. MR3777612DOI10.1016/j.automatica.2018.01.010
  30. Wang, L., Isidori, A., Liu, Z. T., Su, H. Y., 10.1016/j.automatica.2017.04.049, Automatica 82 (2017), 278-286. MR3658766DOI10.1016/j.automatica.2017.04.049
  31. Xi, Z., Ding, Z., 10.1016/j.automatica.2006.08.011, Automatica 43 (2007), 143-149. MR2266780DOI10.1016/j.automatica.2006.08.011
  32. Xu, D., Wang, X., Chen, Z., 10.1016/j.sysconle.2015.12.004, Systems Control Lett. 88 (2016), 81-90. MR3453455DOI10.1016/j.sysconle.2015.12.004
  33. Zattoni, E., Perdon., A. M., Conte, G., 10.1016/j.automatica.2017.03.037, Automatica 50 (2017), 1, 322-334. MR3654616DOI10.1016/j.automatica.2017.03.037

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