Transient Response Shaping in H∞ Control by Eigenstructure Assignment to Convex Regions

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2003, Pages 2288-2293

  Satoh, Atsushi ^a   Okubo, Junro ^a   Sugimoto, Kenji ^a  

^a NARA INSTITUTE OF SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

CLOSED-LOOP EIGENSTRUCTURES; TRANSIENT RESPONSE SHAPING;

LINEAR CONTROL SYSTEMS;

EID: 1542319031     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. ∞ control: A convex optimization approach," IEEE Trans. Auto. Contr., Vol. 36, pp. 824-837 (1991)
2. ∞ control with pole assignment in a specified disc," Int. J. Contr., Vol. 56, No. 3, pp. 725-731 (1992)
3. ∞ design with pole placement constraints: An LMI approach," IEEE Trans. Auto. Contr., Vol. 41, No. 3, pp. 358-367 (1996)
4. ∞ control with regional stability constraints," Automatica, Vol. 31, No. 4, pp. 611-615 (1995)
5. O. Bachelier and B. Pradin, "Robust matrix root-clustering analysis in a union of Ω-subregions," Int. J. Syst. Sci., Vol. 32, No. 4, pp. 467-477 (2001)
6. S. Gutman and E. I. Jury, "A general theory for matrix root-clustering in subregions of the complex plane," IEEE Trans. Auto. Contr., Vol. AC-26, No. 4, pp. 853-863 (1981)
7. D. Henrion, M. Sebek and K. Sugimoto, "Rank-one LMI approach to robust stability of polynomial matrices," Kybernetika, Vol. 38, No. 5, pp. 643-656 (2002)
8. D. Henrion and G. Meinsma, "LMIs and Lyapunov's inequality," LAAS-CNRS Research Report, No. 00130 (2000)
9. D. Henrion, V. Kucera and M. Sebek, "Stabilization of affine polynomial families: an LMI approach," Proc. IEEE CACSD, Anchorage, pp. 54-59 (2000)
10. A. Rantzer, "On the Kaiman-Yakubovich-Popov lemma," Syst. Contr. Lett., Vol. 28, pp. 7-10 (1996)
11. G. Roppenecker, "Minimum norm output feedback design under specified eigenvalue areas," Syst. Contr. Lett., Vol. 3, pp. 101-103 (1983)
12. P. R. Apkarian, "Structured stability robustness improvement by eigenspace techniques: a hybrid methodology," J. Guid. Contr. Dyn., Vol. 12, No. 2, pp. 162-168 (1989)
13. 2 synthesis with enhanced linear matrix inequalities (LMI) characterizations," IEEE Trans. Auto. Contr., Vol. 46, No. 12, pp. 1941-1946 (2001)
14. L. El Ghaoui, F. Oustry and M. AitRami, "A cone complementarity linearization algorithm for static output-feedback and related problems," IEEE Trans. Auto. Contr., Vol. 42, No. 8, pp. 1171-1176 (1997)
15. M. C. de Oliveira, J. Bernussou and J. C. Geromel, "A new discrete-time robust stability condition," Syst. Contr. Lett., Vol. 37, No. 4, pp. 261-265 (1999)
16. Y. Ebihara and T. Hagiwara, "New dilated LMI characterizations for continuous-time control design and robust multiobjective control," Proc. of ACC, pp. 47-52 (2002)
17. T. Shimomura, M. Takahashi and T. Fujii, "Extended-space control design with parameter-dependent Lyapunov functions," Proc. of IEEE CDC, pp. 2157-2162 (2001)
18. A. Satoh and K. Sugimoto, "Quadratic stabilization with partial eigenstructure assignment: application to flight control design", Proc. of IFAC ACA , pp. 163-168 (2001)
19. 2 design for lateral flight control of highly flexible aircraft", J. Guid. Contr. Dyn., Vol. 25, No. 3, pp. 502-509 (2002)
20. K. M. Sobel, E. Y. Shapiro and A. N. Andry, JR., "Eigenstructure assignment," Int. J. Contr., Vol. 59, No. 1, pp. 13-37 (1994)
21. D. Peaucelle, D. Arzelier, O. Bachelier and J. Bernussou, "A new robust D-stability condition for real convex polytopic uncertainty," Syst. Contr. Lett., Vol. 40, pp. 21-30 (2000)