H2 and H∞ robust output feedback control for continuous time polytopic systems

IET Control Theory and Applications

Volumn 1, Issue 5, 2007, Pages 1541-1549

  Geromel, J C ^a   Korogui, R H ^a   Bernussou, J ^b  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b LAAS CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; NONLINEAR SYSTEMS; PROBLEM SOLVING; ROBUST CONTROL; UNCERTAINTY ANALYSIS;

FRANK-WOLFE ALGORITHM; FRICTION COEFFICIENTS; POLYTOPIC SYSTEMS;

CONTINUOUS TIME SYSTEMS;

EID: 34548023428     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20060460     Document Type: Article

References (15)

1. Zames, G.: ' Feedback and optimal sensitivity - model reference transformations, multiplicative seminorms and approximate inverses ', IEEE Trans. Autom. Control, 1981, 26, (2), p. 301-320 10.1109/TAC.1981.1102603 0018-9286
2. Zames, G., and Francis, B.A.: ' Feedback, minimax sensitivity and optimal robustness ', IEEE Trans. Autom. Control, 1983, 28, (5), p. 585-601 10.1109/TAC.1983.1103275 0018-9286
3. Doyle, J.C., and Stein, G.: ' Multivarible feedback design - concepts for a classical modern synthesis ', IEEE Trans. Autom. Control, 1981, 26, (1), p. 4-16 10.1109/TAC.1981.1102555 0018-9286
4. ∞ control problems ', IEEE Trans. Autom. Control, 1989, 34, (8), p. 831-847 10.1109/9.29425 0018-9286
5. ∞ performance objectives - optimal control ', IEEE Trans. Autom. Control, 1994, 39, (8), p. 1575-1587 10.1109/9.310031 0018-9286
6. Boyd, S.P., El Ghaoui, L., Feron, E., and Balakrishnan, V.: ' Linear matrix inequalities in system and control theory ', (SIAM, Philadelphia, 1994)
7. Henrion, D., and Lasserre, J.B.: ' Convergent relaxations of polynomial matrix inequalities and static output feedback ', IEEE Trans. Autom. Control, 2006, 51, (2), p. 192-202 10.1109/TAC.2005.863494 0018-9286
8. ∞ control ', Int. J. Robust Nonlinear Control, 1994, 4, (4), p. 421-448 1049-8923
9. 2 norm optimization with constrained dynamic output feedback controllers: Decentralized and reliable control ', IEEE Trans. Automat. Control, 1999, 44, (7), p. 1449-1454 10.1109/9.774121 0018-9286
10. El Ghaoui, L., Oustry, F., and AitRami, M.: ' A cone complementarity linearization algorithm for static output feedback and related problems ', IEEE Trans. Autom. Control, 1997, 42, (8), p. 1171-1176 10.1109/9.618250 0018-9286
11. Bernussou, J., Geromel, J.C., and Korogui, R.H.: ' On robust output feedback control for polytopic systems ', 44th, IEEE CDC-ECC '05, 2005, p. 5018-5023
12. de Oliveira, M.C., Bernussou, J., and Geromel, J.C.: ' A new discrete-time robust stability condition ', Syst. Control Lett., 1999, 37, (4), p. 261-265 10.1016/S0167-6911(99)00035-3 0167-6911
13. ∞ control ', Isidori, A., Trends in control - a European perspective, (Springer, London, 1995)
14. Geromel, J.C., and Palhares, A.G.B.: ' Análise Linear de Sistemas Dinâmicos: Teoria, Ensaios Práticos e Exercícios' (in portuguese) ', (Editora Edgard Blucher LTDA, São Paulo, Brazil, 2004)
15. Veillette, R.J., Medanić, J.V., and Perkins, W.R.: ' Design of reliable control systems ', IEEE Trans. Autom. Control, 1992, 37, (3), p. 290-304 10.1109/9.119629 0018-9286