Robustness of a discrete-time predictor-based controller for time-varying measurement delay

Control Engineering Practice

Volumn 20, Issue 2, 2012, Pages 102-110

  Gonzalez, A ^a   Garcia, P ^a   Albertos, P ^a   Castillo, P ^b   Lozano, R ^b,c  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

^b UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

^c DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

Digital implementation; Discrete predictor; Linear matrix inequality (LMI); Robust stability; Time varying delay

Indexed keywords

DIGITAL IMPLEMENTATION; DISCRETE-PREDICTOR; LINEAR MATRIX INEQUALITY (LMI); ROBUST STABILITY; TIME-VARYING DELAY;

CONTROLLERS; HELICOPTER ROTORS; LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAINTY ANALYSIS;

TIME VARYING CONTROL SYSTEMS;

EID: 83355166805     PISSN: 09670661     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.conengprac.2011.09.001     Document Type: Article

References (32)

1. Astrom K.J., Wittenmark B. Computer-Controlled Systems - Theory and Design 1997, Prentice-Hall, New York.
2. Boukas E.-K. Discrete-time systems with time-varying time delay: Stability and stabilization. Mathematical Problems in Engineering 2006, 2006:1-10.
3. Boyd S., El Ghaoui L., Feron E., Balakrishnan V. Linear matrix inequalities in system and control theory 1994, Vol. 15. Society for Industrial and Applied Mathematics, Philadelphia.
4. Castillo P., Lozano R., Dzul A. Modelling and control of mini flying machines 2005, Springer-Verlag.
5. Cloosterman M.B.G., Hetel L., van de Wouw N., Heemels W., Daafouz J., Nijmeijer H. Controller synthesis for networked control systems. Automatica 2010, 46(10):1584-1594.
6. Du D., Jiang B., Zhou S. Delay-dependent robust stabilisation of uncertain discrete-time switched systems with time-varying state delay. International Journal of Systems Science 2008, 39(3):305-313.
7. Gahinet, P., Nemirovskii, A., Laub, A., & Chilali, M. (1995). The LMI control toolbox. In Proceedings of the 33rd IEEE conference on decision and control, 1994 (Vol. 3, pp. 2038-2041). IEEE.
8. Gao H., Chen T. New results on stability of discrete-time systems with time-varying state delay. IEEE Transactions on Automatic Control 2007, 52(2):328-334.
9. Garcia P., Castillo P., Lozano R., Albertos P. Robustness with respect to delay uncertainties of a predictor-observer based discrete-time controller. 45th IEEE conference on decision and control, 2006 2006, 199-204. IEEE.
10. Garcia, P., Gonzalez, A., Castillo, P., Lozano, R., & Albertos, P. (2011). Robustness of a discrete-time predictor-based controller for time-varying measurement delay. International Federation of Automatic Control http://tds2010.fs.cvut.cz.
11. Gonzalez A., Sala A., Garcia P., Albertos P. Robustness analysis of discrete predictor-based controllers for input-delay systems. International Journal of Systems Science 2011, 10.1080/00207721.2011.600469.
12. ∞ control for uncertain discrete-time systems with time-varying delay. Mathematical Problems in Engineering 2009, 2009:24. (Article ID 732181). 10.1155/2009/732181.
13. Guo Y., Li S. New stability criterion for discrete-time systems with interval time-varying state delay. Proceedings of the 48th IEEE conference on decision and control and the 2009 28th chinese control conference. CDC/CCC 2009 2009, 1342-1347. IEEE.
14. Guzman J., Garcia P., Hagglund T., Dormido S., Albertos P., Berenguel M. Interactive tool for analysis of time-delay systems with dead-time compensators. Control Engineering Practice 2008, 16(7):824-835.
15. He Y., Wu M., Liu G., She J. Output feedback stabilization for a discrete-time system with a time-varying delay. IEEE Transactions on Automatic Control 2008, 53(10):2372-2377.
16. Ingimundarson A., Hagglund T. Robust tuning procedures of dead-time compensating controllers. Control Engineering Practice 2001, 9(11):1195-1208.
17. Liu, X., Martin, R., Wu, M., & Tang, M. (2006). Delay-dependent robust stabilisation of discrete-time systems with time-varying delay. In IEE proceedings-control theory and applications (Vol. 153, pp. 689-702). IET.
18. Lozano R., Castillo P., Garcia P., Dzul A. Robust prediction-based control for unstable delay systems: Application to the yaw control of a mini-helicopter. Automatica 2004, 40(4):603-612.
19. Manitius A.Z., Olbrot A.W. Finite spectrum assignment problem for systems with delays. IEEE Transactions on Automatic Control 1979, 24(4):541-553.
20. Meng X., Lam J., Du B., Gao H. A delay-partitioning approach to the stability analysis of discrete-time systems. Automatica 2010, 46(3):610-614.
21. Mondié S., Dambrine M., Santos O. Approximation of control laws with distributed delays: A necessary condition for stability. Kybernetika, Praha 2002, 38(5):541-551.
22. Normey-Rico J., Camacho E. Dead-time compensators: A survey. Control Engineering Practice 2008, 16(4):407-428.
23. Normey-Rico J., Guzman J., Dormido S., Berenguel M., Camacho E. An unified approach for DTC design using interactive tools. Control Engineering Practice 2009, 17(10):1234-1244.
24. Normey-Rico J.E., Camacho E.F. Control of Dead-time Processes 2007, Springer-Verlag, London.
25. Palmor Z. Time-delay compensation-Smith predictor and its modifications. The control handbook 1996, 1:224-229.
26. Pan Y., Marquez H., Chen T. Stabilization of remote control systems with unknown time varying delays by LMI techniques. International Journal of Control 2006, 79(7):752-763.
27. Richard J. Time-delay systems: An overview of some recent advances and open problems. Automatica 2003, 39(10):1667-1694.
28. Seron, M., Braslavsky, J., & Goodwin, G. (1997). Fundamental limitations in filtering and control (Online). http://www.eng.newcastle.edu.au/~jhb519/book/download.html.
29. Smith O. Closer control of loops with dead time. Chemical Engineering Progress 1957, 53(5):217-219.
30. ∞ control of systems with parameter uncertainty. International Journal of Control 1996, 63(4):741-750.
31. Yue D., Han Q. Delayed feedback control of uncertain systems with time-varying input delay. Automatica 2005, 41(2):233-240.
32. Zhong Q. On distributed delay in linear control laws-Part I: Discrete-delay implementations. IEEE Transactions on Automatic Control 2004, 49(11):2074-2080.