Smith predictor based robust fractional order control: Application to water distribution in a main irrigation canal pool

Journal of Process Control

Volumn 19, Issue 3, 2009, Pages 506-519

  Feliu Batlle, V ^a   Rivas Perez R ^b   Castillo Garcia F J ^a   Sanchez Rodriguez, L ^a  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b INSTITUTO SUPERIOR POLITÉCNICO JOSÉ ANTONIO ECHEVERRÍA   (Cuba)

Author keywords

Robust fractional order control; Smith predictor based control system; Variable time delay process; Water distribution control in a main irrigation canal pool

Indexed keywords

CONTROLLERS; DELAY CONTROL SYSTEMS; ELECTRIC CONTROL EQUIPMENT; HYDRAULIC STRUCTURES; IRRIGATION; IRRIGATION CANALS; LAKES; PROPORTIONAL CONTROL SYSTEMS; THREE TERM CONTROL SYSTEMS; TIME DELAY; TWO TERM CONTROL SYSTEMS; WATER DISTRIBUTION SYSTEMS; WATER SUPPLY;

COMPLEX CONTROLS; DESIGN CONTROLLERS; DYNAMICAL MODELS; FRACTIONAL INTEGRALS; HIGH-FREQUENCY MEASUREMENTS; HIGH-FREQUENCY MODELS; PID CONTROLLERS; PREDICTIVE CONTROLS; ROBUST FRACTIONAL ORDER CONTROL; ROBUST H; SIMULATED RESULTS; SMITH PREDICTOR BASED CONTROL SYSTEM; TIME DELAY CHANGES; VARIABLE TIME DELAY PROCESS; WATER DISTRIBUTION CONTROL IN A MAIN IRRIGATION CANAL POOL;

PROCESS CONTROL;

EID: 60749097464     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2008.05.004     Document Type: Article

References (42)

1. Postel S. Last Oasis: Facing Water Scarcity (1992), Norton, New York, USA
2. Malaterre P.O., Rogers D.C., and Schuurmans J. Classification of canal control algorithms. Journal of Irrigation and Drainage Engineering 124 1 (1998) 3-10
3. Kovalenko P.I. Automation of Land Reclamation Systems (1983), Kolos, Moscow
4. Litrico X., Fromion V., Baume J.P., Arranja C., and Rijo M. Experimental validation of a methodology to control irrigation canals based on Saint-Venant equations. Control Engineering Practice 13 11 (2005) 1341-1454
5. Ooi S.K., Krutzen M.P.M., and Weyer E. On physical and data driven modeling of irrigation channels. Control Engineering Practice 13 4 (2005) 461-471
6. Chaudhry M.H. Open-Channel Flow (1993), Prentice-Hall, Englewood Clifs, NJ, USA
7. Rivas Perez R., Peran Gonzalez J.R., Pineda Reyes B., and Perez Pereira S S. Distributed control under centralized intelligent supervision in the Güira de Melena Irrigation System. Hydraulic Engineering in Mexico 18 2 (2003) 53-68
8. J.P. Baume, J. Sau, P.O. Malaterre, Modeling of irrigation channel dynamics for controller design, in: Proceedings of IEEE International Conference on Systems, Man and Cybernetics (SMC98), San Diego, California, USA, 1998.
9. Wahlin B.T. Performance of model predictive control on ASCE test canal 1. Journal of Irrigation and Drainage Engineering 130 3 (2004) 227-237
10. Clemmens A.J., and Schuurmans J. Simple optimal downstream feedback canal controllers: theory. Journal of Irrigation and Drainage Engineering 130 1 (2004) 26-34
11. Litrico X., and Fromion V. Tuning of robust distant downstream PI controllers for an irrigation canal pool: (I) theory. Journal of Irrigation and Drainage Engineering 132 4 (2006) 359-368
12. M.J. Shand, Automatic downstream control systems for irrigation Canals, PhD Thesis, University of California, Berkeley, USA, 1971.
13. Deltour J.L., and Sanfilippo F. Introduction of the Smith predictor into dynamic regulation. Journal of Irrigation and Drainage Engineering 124 1 (1998) 47-52
14. Litrico X., and Georges D. Robust continuous-time and discrete-time flow control of a dam-river system: (II) controller design. Applied Mathematical Modelling 23 11 (1999) 829-846
15. Palmor Z.J., and Halevi Y. On the design and properties of multivariable dead time compensators. Automatica 19 (1983) 255-264
16. Palmor Z.J., and Halevi Y. Robustness properties of sampled-data systems with dead time compensators. Automatica 26 (1990) 637-640
17. Bhaya A., and Desoer C.A. Controlling plants with delay. International Journal of Control 41 (1985) 813-830
18. Santacesaria C., and Scattolini R. Easy tuning of Smith predictor in presence of delay uncertainty. Automatica 29 (1993) 1595-1597
19. Palmor Z.J. The Control Handbook. Time Delay Compensation: Smith Predictor and its Modifications (1996), CRC Press and IEEE Press
20. J.E. Nomey-Rico, E.F. Camacho, Smith predictor and modifications: a comparative study, in: Proceedings of European Control Conference, Germany, 1999.
21. Nomey-Rico J.E., and Camacho E.F. Predicción Para Control: Una Panorámica del Control de Procesos con Retardo. Revista Iberoamericana de Automática e Informática Industrial 3 4 (2006) 5-25
22. Podlubny I. Fractional Differential Equations (1999), Academic Press, San Diego, USA
23. A.A. Oustaloup, O. Cois, P. Lanusse, P. Melchior, X. Moreau, J. Sabatier, The CRONE approach: theoretical developments and major applications, in: Proceedings of the 2nd Workshop of the International Federation of Automatic Control on Fractional Differentiation and its Applications, Porto, Portugal, 2006.
24. V. Feliu Batlle, R. Rivas Perez, F.J. Castillo Garcia, Fractional robust control to delay changes in main irrigation canals, in: Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, 2005.
25. Feliu Batlle V., Rivas Perez R., and Sanchez Rodriguez L. Fractional robust control of main irrigation canals with variable dynamic parameters. Control Engineering Practice 15 6 (2007) 673-686
26. μ-controllers. IEEE Transactions on Automatic Control 44 1 (1999) 208-214
27. Vinagre B.M., Podlubny I., Hernandez A., and Feliu V. Some approximations of fractional order operators used in control theory and applications. Journal of Fractional Calculus and Applied Analysis 3 3 (2000) 231-248
28. I. Petras, S. Grega, L. Dorcak, Digital fractional order controllers realized by PIC microprocessor: experimental results, in: Proceedings of International Carpathian Control Conference, High Tatras, Slovak Republic, 2003.
29. Barbosa R.S., Tenreiro Machado J.A., and Ferreira I.M. Controller tuning based on Bode's ideal transfer function. Nonlinear Dynamics 38 1-4 (2004) 305-321
30. λ controllers: some tuning rules for robustness to plant uncertainties. Nonlinear Dynamics 38 1-4 (2004) 369-381
31. H. Ahn, Y. Chen, I. Podlubny, Robust stability checking of a class of linear interval fractional order system using Lyapunov inequality, in: Proceedings of the 2nd Workshop of the International Federation of Automatic Control on Fractional Differentiation and its Applications, Porto, Portugal, 2006.
32. N.V. Paluri, K. Rambabu, N. Kubal, V. Vyawahare, QFT loop shaping using a fractional integrator-real-time application to a coupled-tank system, in: Proceedings of the 2nd Workshop of the International Federation of Automatic Control on Fractional Differentiation and its Applications, Porto, Portugal, 2006.
33. Rivas Perez R., Feliu Batlle V., and Sanchez Rodriguez L. Robust system identification of an irrigation main canal. Advances in Water Resources 30 (2007) 1785-1796
34. Litrico X., and Fromion V. Simplified modeling of irrigation canals for controller design. Journal of Irrigation and Drainage Engineering 130 5 (2004) 373-383
35. Cantoni M., Weyer E., Li Y., Ooi S.K., Mareels I., and Ryan M. Control of large-scale irrigation networks. Proceedings of the IEEE 29 1 (2007) 75-91
36. Hu J., Bohn C., and Wu H.R. Systematic Hinf weighting function selection and its application to the real-time control of a vertical take-off aircraft. Control Engineering Practice 8 3 (2000) 241-252
37. Beaven R.W., Wrigth M.T., and Seaward D.R. Weighting function selection in the Hinf design process. Control Engineering Practice 4 5 (1996) 625-633
38. Doyle J.C., Glover K., Khargonekar P.P., and Francis B.A. State space solutions to standard H2 and Hinf control problems. IEEE Transaction on Automatic Control 34 6 (1989) 831-847
39. V. Feliu Batlle, R. Rivas Perez, L. Sanchez Rodriguez, F. Castillo Garcia, A. Linarez Saez, Robust fractional order PI controller for a main irrigation canal pool, in: Proceeding of 17th IFAC World Congress, Seoul, Korea, 2008.
40. G.W. Bohannan, Analog fractional order controller in a temperature control application, in: Proceedings of the 2nd Workshop of the International Federation of Automatic Control on Fractional Differentiation and its Applications, Porto, Portugal, 2006.
41. Clemmens A.J., and Wahlin B.T. Simple optimal downstream feedback canal controllers: ASCE test case results. Journal of Irrigation and Drainage Engineering 130 1 (2004) 35-46
42. Rogers D.C., Ehler D.G., Falvey H.T., Serfozo E.A., Voorheis P., Johansen R.P., Arrington R.M., and Rossi L.J. Canal Systems Automation Manual. first ed. vol. 2 (1995), US Department of the Interior, Bureau of Reclamation, Denver