Gain-scheduled smith predictor PID-based LPV controller for open-flow canal control

IEEE Transactions on Control Systems Technology

Volumn 22, Issue 2, 2014, Pages 468-477

  Bolea, Yolanda ^a   Puig, Vicenc ^a   Blesa, Joaquim ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

LMIs; LPV control; open flow canal systems; PID; Smith predictor scheme

Indexed keywords

CANAL SYSTEMS; LMIS; LPV CONTROL; PID; SMITH PREDICTOR SCHEMES;

CANALS; ELECTRIC CONTROL EQUIPMENT; HYDRAULIC STRUCTURES; LINEAR MATRIX INEQUALITIES; PROPORTIONAL CONTROL SYSTEMS;

CONTROLLERS;

EID: 84897653690     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2013.2257776     Document Type: Article

References (31)

1. X. Litrico and V. Fromion, Modelling and Control of Hydrosystems. New York, NY, USA: Springer-Verlag, 2009.
2. X. Litrico and D. Georges, "Robust continuos-time and discrete-time flow control of a dam-river system. (I) Modelling," Appl. Math. Model., vol. 23, no. 11, pp. 809-827, Nov. 1999.
3. M. Ǵ omez, J. Rodellar, and J. A. Mantecon, "Predictive control method for decentralized operation of irrigation canals," Appl. Math. Model., vol. 26, no. 11, pp. 1039-1056, Nov. 2002.
4. J. Schuurmans, A. J. Clemmens, S. Dijkstra, A. Hof, and R. Brouwer, "Modeling of irrigation and drainage for controller design," J. Irrigation Drainage Eng., vol. 125, no. 6, pp. 338-343, Nov.-Dec. 1999.
5. X. Litrico and V. Fromion, "Simplified modeling of irrigation canals for controller design," J. Irrigation Drainage Eng., vol. 130, no. 5, pp. 373-383, Sep.-Oct. 2004.
6. E. Weyer, "System identification of an open canal," Control Eng. Pract., vol. 9, no. 12, pp. 1289-1299, Dec. 2001.
7. S. K. Ooi, M. P. M. Krutzen, and E. Weyer, "On physical and data driven modelling of irrigation channels," Control Eng. Pract., vol. 13, no. 4, pp. 461-471, Apr. 2005. (Pubitemid 40032156)
8. X. Litrico and V. Fromion, "H? control of an irrigation canal pool with a mixed control politics," IEEE Trans. Constrol Syst. Technol., vol. 14, no. 1, pp. 99-111, Jan. 2006. (Pubitemid 43256809)
9. V. Feliu-Batlle, R. Rivas Pérez, and L. Sánchez Rodríguez, "Fractional robust control of main irrigation canals with variable dynamic parameters," Control Eng. Pract., vol. 15, no. 6, pp. 673-686, Jun. 2007. (Pubitemid 46357262)
10. T. S. Rabbani, F. Di Meglio, X. Litrico, and A. M. Bayen, "Feed-forward control of open flow using differential flatness," IEEE Trans. Control Syst. Technol., vol. 18, no. 1, pp. 213-221, Jan. 2010.
11. W. Rugh and J. Shamma, "Research on gain scheduling," Automatica, vol. 36, no. 10, pp. 1401-1425, Oct. 2000.
12. G. Belforte, F. Dabbene, and P. Gay, "LPV approximation of distributed parameter systems in environmental modeling," Environ. Model. Softw., vol. 20, no. 8, pp. 1063-1070, Aug. 2005. (Pubitemid 40234556)
13. V. Puig, J. Quevedo, T. Escobet, P. Charbonnaud, and E. Duviella, "Identification and control of an open-flow canal using LPV models," in Proc. 44th IEEE Conf. Decision Control, Dec. 2005, pp. 1893-1898. (Pubitemid 46297245)
14. X. Litrico and D. Georges, "Robust continuous-time and discrete-time flow control of a dam-river system. (II) Controller design," Appl. Math. Model., vol. 23, no. 11, pp. 829-846, Nov. 1999.
15. J. S. Shamma and M. Athans, "Analysis of gain scheduled control for non linear plants," IEEE Trans. Autom. Control, vol. 35, no. 8, pp. 898-907, Aug. 1990. (Pubitemid 20738738)
16. P. Apkarian and P. Gahinet, "A convex characterization of gainscheduled H? controllers," IEEE Trans. Autom. Control, vol. 40, no. 5, pp. 853-864, May 1995.
17. P. Apkarian, P. Gahinet, and G. Becker, "Self-Scheduled H? control of linear parameter-varying systems: A design example," Automatica, vol. 31, no. 9, pp. 1251-1261, Sep. 1995.
18. K. Tanaka and H. O. Wang, "Fuzzy control systems design and analysis," in A Linear Matrix Inequality Approach. New York, NY, USA: Wiley, 2002.
19. D. J. Leith, R. N. Shorten, and W. E. Leithead, "Issues in the design of switched linear control systems: A benchmark study," Int. J. Adapt. Control Signal Process., vol. 17, no. 2, pp. 103-118, Mar. 2003.
20. M. Mattei, "Robust multivariable PID control for linear parameter varying systems," Automatica, vol. 37, no. 12, pp. 1997-2003, Dec. 2001. (Pubitemid 32951296)
21. J.A. Mantecón, M. Gómez, and J. Rodellar, "A simulink-based scheme for simulation of irrigation canal control systems," Simulation, vol. 78, no. 8, pp. 485-493, Aug. 2002.
22. J. Blesa, V. Puig, and Y. Bolea, "Fault detection using interval LPV models in an open-flow canal," Control Eng. Pract., vol. 18, no. 5, pp. 460-470, May 2010.
23. E. Duviella, V. Puig, P. Charbonnaud, T. Escobet, F. J. Carrillo, and J. Quevedo, "Supervised gain-scheduling multi-model vs LPV IMC of open-channel systems for large operating conditions," J. Irrigation Drainage Eng., vol. 136, no. 8, pp. 543-552, Aug. 2010.
24. S. Skogestad and I. Postlethwaite, "Multivariable feedback control," in Analysis and Design. New York, NY, USA: Wiley, 1997.
25. R. S. Sánchez-PeÑa, and M. Sznaier, Robust Systems Theory and Application. New York, NY, USA: Wiley, 1998.
26. M. Ge, M.-S. Chiu, and Q.-G. Wang, "Robust PID controller design via LMI approach," J. Process. Control, vol. 12, no. 1, pp. 3-13, Jan. 2002. (Pubitemid 33110455)
27. M. Chilali, P. Gahinet, and P. Apkarian, "Robust pole placement in LMI regions," IEEE Trans. Autom. Control, vol. 44, no. 12, pp. 2257-2270, Dec. 1999. (Pubitemid 30541651)
28. B. Kristiansson and B. Lennartson, "Robust tuning of PI and PID controllers: Using derivative action despite sensor noise," IEEE Control Syst. Mag., vol. 26, no. 1, pp. 55-69, Jan. 2006. (Pubitemid 43186106)
29. J. E. Normey-Rico and E. F. Camacho, Control of Dead-Time Processes. New York, NY, USA: Springer-Verlag, 2007.
30. K. Astrom and T. Hägglund, "PID controllers: Theory, design and tuning," in International Society for Measurement and Control, 2nd ed. Research Triangle Park, NC, USA: ISA, 1995.
31. G. Goodwin, S. Graebe, and M. Salgado, Control System Design. Englewood Cliffs, NJ, USA: Prentice-Hall, 2001.