Structured controller synthesis using LMI and alternating projection method

International Journal of Control

Volumn 77, Issue 12, 2004, Pages 1137-1147

  Ebihara, Yoshio ^a   Tokuyama, Kazuma ^a   Hagiwara, Tomomichi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DISCRETE TIME CONTROL SYSTEMS; ITERATIVE METHODS; LINEAR SYSTEMS; MATRIX ALGEBRA; PROBLEM SOLVING; THEOREM PROVING;

CONTINOUS-TIME SYSTEMS; PROJECTION ALGORITHM; STATIC OUTPUT-FEEDBACK (SOF); STRUCTURAL CONSTRAINTS;

FEEDBACK CONTROL;

EID: 7544234562     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170412331298947     Document Type: Article

References (22)

1. 2 multi-channel synthesis with enhanced LMI characterizations. IEEE Transactions on Automatic Control, 46, 1941-1946.
2. BERNUSSOU, J., and SEBE, N., 2001, About decentralized feedback: a survey. Proceedings of the IFAC LSS 2001, Bucharest, Romania, pp. 22-33.
3. BOYD, S. P., GHAOUI, L. E., FERON, E., and BALAKRISHNAN, V., 1994, Linear Matrix Inequalities in System and Control Theory (Philadelphia: SIAM).
4. ∞ design with pole placement constraints: an LMI approach. IEEE Transactions on Automatic Control, 41, 358-363.
5. EBIHARA, Y., and HAGIWARA, T., 2002, Robust controller synthesis with parameter-dependent Lyapunov variables: a dilated LMI approach. Proceedings of the Conference on Decision and Control, Las Vegas, NV, USA, pp. 4179-4184.
6. EBIHARA, Y., and HAGIWARA, T., 2003, Structured controller synthesis using LMI and alternating projection method. Proceedings of the Conference on Decision and Control, Maui, HI, USA, pp. 5632-5637.
7. ∞ control. International Journal of Robust and Nonlinear Control, 4, 421-448.
8. GAHINET, P., NEMIROVSKII, A., LAUB, A. J., and CHILALI, M., 1994, LMI Control Toolbox (The Mathworks Inc.).
9. GHAOUI, L. E., OUSTRY, F., and AITRAMI, M., 1997, A cone complementary linearization algorithm for static output-feedback and related problems. IEEE Transactions on Automatic Control, 42, 1171-1176.
10. GRIGORIADIS, K. M., and SKELTON, R. E., 1996, Low-order control design for LMI problems using alternating projection methods. Automatica, 32, 1117-1125.
11. GRIGORIADIS, K. M., and BERN, E. B., 2000, Alternating projection algorithm for linear matrix inequalities problems with rank constraints. In L.E. Ghaoui and S. Niculescu (Eds) Advances in Linear Matrix Inequality Methods in Control (SIAM, Philadelphia), pp. 251-267.
12. IWASAKI, T., 1997, LMI and Control (Shokodo, Tokyo).
13. IWASAKI, T., 1999, The dual iteration for fixed-order control. IEEE Transactions on Automatic Control, 44, 783-788.
14. ∞ control problem: LMI existence conditions and state space formulas. Automatica, 30, 1307-1317.
15. IWASAKI, T., and SKELTON, R. E., 1995, The XY-centering algorithm for the dual LMI problem: a new approach to fixed order control design. International Journal of Control, 62, 1257-1272.
16. MASUBUCHI, I., OHARA, A., and SUDA, N., 1998, LMI-based controller synthesis: a unified formulation and solution. International Journal of Robust and Nonlinear Control, 44, 783-788.
17. OLIVEIRA, M. C., BERNUSSOU, J., and GEROMEL, J. C., 1999, A new discrete-time robust stability condition. Systems and Control Letters, 37, 261-265.
18. ∞ norm characterizations and controller parametrizations for discrete-time systems. International Journal of Control, 75, 666-679.
19. SCHERER, C. W., GAHINET, P., and CHILALI, M., 1997, Multiobjective output-feedback control via LMI optimization. IEEE Transactions on Automatic Control, 42, 896-911.
20. SKELTON, R. E., IWASAKI, T., and GRIGORIADIS, K., 1997, A Unified Algebraic Approach to Linear Control Design (New York: Taylor & Francis).
21. TANAKA, H., and SUGIE, T., 1999, New characterization of fixed-order controllers based on LMI. International Journal of Control, 72, 58-74.
22. YANAI, H., and TAKEUTI, K., 1983, Projection Matrix, Generalized Inverse and Singular Value Decomposition (Tokyo: The University of Tokyo Press).