Synthesis of non-rational controllers for linear delay systems

Automatica

Volumn 40, Issue 2, 2004, Pages 171-188

  De Oliveira, Maurício C ^a   Geromel, José C ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Delay independent conditions; H control; H2 control; Linear delay systems; Linear matrix inequalities

Indexed keywords

DELAY CONTROL SYSTEMS; LINEAR EQUATIONS; MATRIX ALGEBRA; SET THEORY; STABILIZATION; VECTORS;

CONTROL DESIGN PROBLEMS; LINEAR DELAY SYSTEMS;

LINEAR SYSTEMS;

EID: 0347985288     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2003.09.004     Document Type: Article

References (28)

1. ∞ control synthesis problem convex International Journal of Robust and Nonlinear Control. 12(1):2002;21-39.
2. Bernussou J., Geromel J.C., Peres P.L.D. A linear programming oriented procedure for quadratic stabilization of uncertain systems. Systems and Control Letters. 13(1):1989;65-72.
3. Bliman P.A. Lyapunov-Krasovskii functionals and frequency domain. Delay-independent absolute stability criteria for delay systems International Journal of Robust and Nonlinear Control. 11(8):2001;771-788.
4. Bliman P.A. Lyapunov equation for the stability of linear delay systems of retarded and neutral type. IEEE Transactions on Automatic Control. 47(2):2002;327-335.
5. Boyd S.P., El Ghaoui L., Feron E., Balakrishnan V. Linear matrix inequalities in system and control theory. 1994;SIAM, Philadelphia, PA.
6. ∞ controller design for linear time-delay systems Automatica. 33(4):1997;737-739.
7. ∞ control of uncertain linear state-delayed systems Automatica. 35(8):1999;1313-1321.
8. Esfahani S.H., Petersen I.R. An LMI approach to output-feedback-guaranteed cost control for uncertain time-delay systems. International Journal of Robust and Nonlinear Control. 10(3):2000;157-174.
9. Fridman E., Shaked U. New bounded real lemma representations for time-delay systems and their application. IEEE Transactions on Automatic Control. 46(12):2001;1973-1979.
10. Geromel J.C., Peres P.L.D., Bernussou J. On a convex parameter space method for linear control design of uncertain systems. SIAM Journal on Control and Optimization. 29(2):1991;381-402.
11. Ivǎnescu D., Dion J.M., Dugard L., Niculescu S.I. Dynamical compensation for time-delay systems. An LMI approach International Journal of Robust and Nonlinear Control. 10(8):2000;611-628.
12. ∞ control problem - LMI existence conditions and state-space formulas Automatica. 30(8):1994;1307-1317.
13. Jeung E.T., Oh D.C., Kim J.H., Park H.B. Robust controller design for uncertain systems with time delays. LMI approach Automatica. 32(8):1996;1229-1231.
14. Leyva-Ramos J., Pearson A.E. Output feedback stabilizing controller for time-delay systems. Automatica. 36(8):2000;613-617.
15. Mahmoud M.S. Robust control and filtering for time-delay systems. 2000;Marcel Decker, New York, NY.
16. Megretski A., Rantzer A. System analysis via integral quadratic constraints. IEEE Transactions on Automatic Control. 42(6):1997;819-830.
17. ∞ control for dead-time systems IEEE Transactions on Automatic Control. 45(2):2000;272-285.
18. Palmor, Z. J. (1996). Time-delay compensation-Smith predictor and its modifications. In S.L. William (Ed.), The control handbook (pp. 224-237). Boca Raton, FL: CRC Press.
19. ∞ control. In A. Isidori (Ed.), Trends in control: A European perspective (pp. 173-216). Berlin: Springer.
20. Scherer C.W., Gahinet P., Chilali M. Multiobjective output-feedback control via LMI optimization. IEEE Transactions on Automatic Control. 42(7):1997;896-911.
21. Shaked U., Yaesh I., de Souza C.E. Bounded real criteria for linear time-delay systems. IEEE Transactions on Automatic Control. 43(7):1998;1016-1022.
22. Skelton R.E., Iwasaki T., Grigoriadis K. A unified algebraic approach to control design. 1997;Taylor & Francis, London, UK.
23. Smith O.J.M. Closer control of loops with dead time. Chemical Engineering Progress. 53:1957;217-219.
24. Su J.-H. Further results on stability of linear systems with a single time delay. Systems and Control Letters. 23(5):1994;375-379.
25. Trinh H. Linear functional observer for time-delay system. International Journal of Control. 72(18):1999;1642-1658.
26. Xi L., de Souza C.E. Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach. IEEE Transactions on Automatic Control. 42(8):1997;1144-1148.
27. Xu B. Comments on robust stability of delay dependence for linear uncertain systems. IEEE Transactions on Automatic Control. 39(11):1994;2365.
28. Zhang J., Knopse C.R., Tsiotras P. Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions. IEEE Transactions on Automatic Control. 27(3):2001;482-486.