Static output feedback controller design

Vojtech Veselý

Kybernetika (2001)

  • Volume: 37, Issue: 2, page [205]-221
  • ISSN: 0023-5954

Abstract

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In this paper new necessary and sufficient conditions for static output feedback stabilizability for continuous and discrete time linear time invariant systems have been proposed. These conditions form the basis for the procedure of static output feedback controller design proposed in this paper. The proposed LMI based algorithms are computationally simple and tightly connected with the Lyapunov stability theory and LQ optimal state feedback design. The structure of the output feedback gain matrix, including a decentralized one, can be prescribed by the designer. In this way the decentralized output feedback controller can be designed.

How to cite

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Veselý, Vojtech. "Static output feedback controller design." Kybernetika 37.2 (2001): [205]-221. <http://eudml.org/doc/33528>.

@article{Veselý2001,
abstract = {In this paper new necessary and sufficient conditions for static output feedback stabilizability for continuous and discrete time linear time invariant systems have been proposed. These conditions form the basis for the procedure of static output feedback controller design proposed in this paper. The proposed LMI based algorithms are computationally simple and tightly connected with the Lyapunov stability theory and LQ optimal state feedback design. The structure of the output feedback gain matrix, including a decentralized one, can be prescribed by the designer. In this way the decentralized output feedback controller can be designed.},
author = {Veselý, Vojtech},
journal = {Kybernetika},
keywords = {output feedback controller; LMI based algorithm; output feedback controller; LMI based algorithm},
language = {eng},
number = {2},
pages = {[205]-221},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Static output feedback controller design},
url = {http://eudml.org/doc/33528},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Veselý, Vojtech
TI - Static output feedback controller design
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 2
SP - [205]
EP - 221
AB - In this paper new necessary and sufficient conditions for static output feedback stabilizability for continuous and discrete time linear time invariant systems have been proposed. These conditions form the basis for the procedure of static output feedback controller design proposed in this paper. The proposed LMI based algorithms are computationally simple and tightly connected with the Lyapunov stability theory and LQ optimal state feedback design. The structure of the output feedback gain matrix, including a decentralized one, can be prescribed by the designer. In this way the decentralized output feedback controller can be designed.
LA - eng
KW - output feedback controller; LMI based algorithm; output feedback controller; LMI based algorithm
UR - http://eudml.org/doc/33528
ER -

References

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  1. Benton I. E., Smith D., 10.1080/002071799220290, Internat. J. Control 72 (1999), 14, 1322–1330 (1999) Zbl0960.93048MR1712166DOI10.1080/002071799220290
  2. Boyd S., Ghaoui L. El, Feron E., Balakrishnam V., Linear matrix inequalities in system and control theory, SIAM 15 (1994), Philadelphia (1994) MR1284712
  3. Blondel V., Gevers M., Lindquist A., 10.1016/S0947-3580(95)70004-8, European J. Control 1 (1995), 5, 2–23 (1995) Zbl1177.93001DOI10.1016/S0947-3580(95)70004-8
  4. Ghaoui L. El, Balakrishnan V., Synthesis of fixed structure controllers via numerical optimization, In: Proc. of the 33rd Conference on Decision and Control, Lake Buena Vista 1994, pp. 2678–2683 (1994) 
  5. Geromel J. C., Peres P. L. D., Decentralized load-frequency control, Proc. IEE–D 132 (1985), 225–230 (1985) 
  6. Goh K. C., Safonov M. G., Ly J. H., 10.1002/(SICI)1099-1239(199611)6:9/10<1079::AID-RNC270>3.0.CO;2-#, Internat. J. Robust and Nonlinear Control 6 (1996), 1079–1095 (1996) Zbl0861.93015MR1429443DOI10.1002/(SICI)1099-1239(199611)6:9/10<1079::AID-RNC270>3.0.CO;2-#
  7. Goh K. G., Safonov M. G., Papavassilopoulos G. P., 10.1007/BF01099648, J. Global Optimization 7 (1995), 365–380 (1995) Zbl0844.90083MR1365801DOI10.1007/BF01099648
  8. Iwasaki T., Skelton R. L., Geromel J. G., 10.1016/0167-6911(94)90096-5, Systems Control Lett. 23 (1994), 421–430 (1994) Zbl0873.49021MR1304473DOI10.1016/0167-6911(94)90096-5
  9. Iwasaki T., Skelton R. E., All controllers for the general H ∞ control problem: LMI existence conditions and state space formulas, Automatica 30 (1994), 8, 1307–1314 (1994) MR1288621
  10. Kose I. E., Jabbari F., 10.1016/S0005-1098(98)00184-8, Automatica 35 (1999), 679–687 (1999) Zbl0982.93033MR1827393DOI10.1016/S0005-1098(98)00184-8
  11. Kučera V., deSouza C. E., 10.1016/0005-1098(95)00048-2, Automatica 31 (1995), 9, 1357–1359 (1995) MR1349414DOI10.1016/0005-1098(95)00048-2
  12. Lankaster P., Theory of Matrices, Academic Press, New York – London 1969 MR0245579
  13. Yu, Li, Chu, Jian, 10.1016/S0005-1098(99)00007-2, Automatica 35 (1999), 1155–1159 (1999) Zbl1041.93530MR1831625DOI10.1016/S0005-1098(99)00007-2
  14. Rosinová D., Veselý V., Kučera V., A necessary and sufficient condition for output feedback stabilizability of linear discrete-time systems, In: IFAC Conference Control System Design, Bratislava 2000, pp. 164–167 
  15. Safonov M. G., Goh K. G., Ly J., Control system synthesis via bilinear matrix inequalities, In: Proc. American Control Conf., Baltimore 1994, IEEE Press, New York, pp. 1–5 (1994) 
  16. Syrmos V. L., Abdalah C. T., Dorato P., Grigoriadis K., 10.1016/S0005-1098(96)00141-0, Automatica 33 (1997), 2, 125–137 (1997) MR1436056DOI10.1016/S0005-1098(96)00141-0
  17. Toker O., Özbay H., On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback, In: Proc. ACC 1995, pp. 2525–2526 (1995) 
  18. Gao, Yong-Yan, Sun, You-Xian, 10.1080/002071798222145, Internat. J. Control 70 (1998), 5, 803–814 (1998) MR1634668DOI10.1080/002071798222145

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