A new nonlinear control methodology for irrigation canals based on a delayed input model

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 17, Issue 1 PART 1, 2008, Pages

  Benayache, Zohra ^a   Besancon, Gildas ^a   Georges, Didier ^a  

^a NONE

Author keywords

Delay systems; Nonlinear system control

Indexed keywords

CONTROL DESIGN; CONTROL MODEL; DELAY SYSTEMS; DELAYED INPUT; DYNAMIC INVERSION; INPUT DELAYS; NON LINEAR CONTROL; NONLINEAR FEEDBACK; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; NONLINEAR SYSTEM CONTROL; SAINT-VENANT; STATE PREDICTION; STATE-DEPENDENT;

DELAY CONTROL SYSTEMS; HYDRAULIC STRUCTURES; IRRIGATION; IRRIGATION CANALS; NONLINEAR CONTROL SYSTEMS; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

NONLINEAR EQUATIONS;

EID: 79961018088     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20080706-5-KR-1001.3292     Document Type: Conference Paper

References (27)

1. I. Mareels, E. Weyer, S. Ooi, M. Carton, Y. Li, G. Nair. Systems Engineering for Irrigation Successes and Challenges. 16 th IFAC World Congress. Prague, Czech Republic, 2005.
2. X. Litrico, V. Fromion, J.P. Baume, C. Arranja and M. Rijo. Experimental validation of a methodology to control irrigation canals based on Saint-Venant equations. Control Engineering Practice. volume 13, No11, pages 1425-1437, 2005.
3. J. de Halleux, C. Prieur, J.M. Coron, B. dAndrea Novel and G. Bastin. Boundary feedback control in networks of open channels. Automatica. volume 39, No8, pages 1365-1376, 2003.
4. J.M. Coron, B. dAndrea Novel and G. Bastin. A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. IEEE Transaction on Automatic Control. volume 52, No1, pages 2-11, 2007.
5. D. Georges and X Litrico. Control system approach for water resources management, (in French). Herm̀es. 2002.
6. M.H. Chaudhry. Applied hydraulic transients Van Nostrand Reinhold Comp. New York, 1987.
7. P.O.Malaterre, D.C. Rogers, and J. Schurmans. Classification of Canal Control Algorithms. Journal of Irrigation and Drainage Engeneering. volume 24,1998.
8. P.O. Malaterre, and M. Khammash. l1 Controller Design for a High-order 5-pool irrigation canal system. IEEECDC conference. volume 4,2000.
9. X. Litrico and V. Fromion. H infinity control of an irrigation canal pool with a mixed control politics. IEEE Transactions on Control Systems Technology. Volume 14/1, pages. 99-111, 2006.
10. O. Begovich, V. Ruiz, G. Besancon, C. Aldana and D. Georges. Predictive control with constraints of a multipool irrigation canal prototype. Latin American Applied Research. volume 37, No3, 2007.
11. J.F. Dulhoste, D. Georges, and G. Besancon. Nonlinear control of open-channel water flow based on a collocation control model. ASCE J. Hydraulic Eng. volume 130, No3, pages 254-266, 2004.
12. G. Besancon, D. Georges, V. Ruiz, O. Begovich and C. Aldana. First experimental results of nonlinear control in irrigation canals. IFAC Symp Systems Structure and Control. Oaxaca, Mexico, 2004.
13. X. Litrico and JB. Pomet. Nonlinear Modelling and Control of a Long River Stretch. European Control Conf. Cambridge, GB,2003.
14. D. Georges and G. Besancon and Z. Benayache and E. Witrant. A nonlinear state feedback design for nonlinear systems with input delay. European Control Conf. Greece, 2007.
15. G. Besancon and D. Georges and Z. Benayache. A State Feedback Control Methodology for Nonlinear Systems with Time/State Dependent Input Delay. Nolcos. South-Africa, 2007.
16. S.I. Niculescu and K. Gu. Advances in Time-Delay Systems. Lecture Notes in Comp. Science and Eng. vol 38, Springer Verlag, 2004.
17. E.I. Verriest. Stability of systems with state dependent and random delays. IMA J. Math. Control and Info.. Vol. 19, pp. 103-114, 2002.
18. L. Maza-Casas, M. Velasco-Villa and J.A. Alvarez- Gallegos. Compensation of Input Time Delay For a Class of Nonlinear Systems. in Proceedings of 39 th IEEE Conference on Decision and Control. Sydney, dec. 2000.
19. F. Mazenc and S. Mondie and R. Francisco. Global asymptotic stabilization of feedforward systems with delay in the input. IEEE Trans. Automat. Contr.. Vol.49 844-850, 2004.
20. F. Mazenc and P.A. Bliman. Backstepping design for timedelay nonlinear systems. IEEE Trans. Automat. Contr.. vol 51, pp. 149-154, 2006.
21. X. Zhang, H. Gao, and Zhang. Global Asymptotic Stabilization of Feedforward Nonlinear SystemsWith a Delay in the Input. Int. Journal of Systems Science. Vol. 37 ,3 :141-148, February 2006.
22. A.Z. Manitius and A.W. Olbrot. Finite Spectrum Assignement Problem for systems with delays. IEEE Trans. Automat. Contr.. Vol. 24, No 4, april 1979.
23. S. Mondie and W. Michiels. Finite Spectrum Assignement of Unstable Time-Delay SystemsWith a Safe Implementation. IEEE Trans. Automat. Contr.. Vol. 48, No 12, dec. 2003.
24. H.K. Khalil. Nonlinear systems. Prentice-Hall, Inc,pp. 149,1996.
25. J.K. Hale, 61nd S.M. Verduyn Lunel. Introduction to functional differential equations. Springer Verlag, New York,1998.
26. J.P. Gauthier, H. Hammouri and S.Othman. A Simple Observer for Nonlinear Systems Applications to Bioreactors. IEEE Transactions on Automatic Control, vol.37,NO.6,1992.
27. J. Rodellar, M. Gomez and J.P. Martin Vide. Stable predictive control of open-channel flow. Journal of irrigation and drainage engineering, 115:701-713, 1989.