Distributed linear-quadratic control of serially chained systems: Application to a water delivery canal

IEEE Control Systems

Volumn 32, Issue 6, 2012, Pages 26-38

  Lemos, João M ^a,b   Pinto, Luís F ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b INESC ID   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

CHAINED SYSTEMS; CONTROL AND OPTIMIZATION; DISTRIBUTED CONTROLLER; HUMAN ACTIVITIES; INFORMATION PATTERNS; LEGAL REQUIREMENTS; LINEAR-QUADRATIC CONTROLS; LOCAL DECISIONS;

WATER SUPPLY;

COMPLEX NETWORKS;

EID: 84883649638     PISSN: 1066033X     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCS.2012.2214126     Document Type: Article

References (25)

1. R. Srikant, The Mathematics of Internet Congestion Control. Boston, MA: Birkhauser, 2003.
2. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
3. A. N. Venkat, I. A. Hiskens, J. B. Rawlings, and S. J. Wright, "Distributed MPC strategies with application to power system automatic generation control," IEEE Trans. Control Syst. Technol., vol. 16, no. 6, pp. 1192-1206, Nov. 2008.
4. T. Miyano, T. Hatanaka, and M. Fujita, "Distributed predictive control and estimation for systems with information structures exemplified by control of a smart grid," in Proc. 1st IFAC Workshop Estimation Control Networked Systems, Venice, Italy, 2009, pp. 180-185.
5. M. Cantoni, E. Weyer, Y. Li, S. K. Ooi, I. Mareels, and M. Ryan, "Control of large-scale irrigation networks," Proc. IEEE, vol. 95, no. 1, pp. 75-91, Jan. 2007.
6. D. Georges, "Decentralized adaptive control for a water distribution system," in Proc. 3rd IEEE Conf. Control Applications, 1994, pp. 1411-1416.
7. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
8. A. Rantzer, "Dynamic dual decomposition for distributed control," in Proc. American Control Conf., St. Louis, MO, 2009, pp. 884-888.
9. S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, "Distributed optimization and statistical learning via the alternating direction of multipliers," Found. Trends Mach. Learn., vol. 3, no. 1, pp. 1-122, 2010.
10. F. L. Lewis and V. L. Syrmos, Optimal Control, 2nd ed. Hoboken, NJ: Wiley, 1995.
11. K. Martensson and A. Rantzer, "Sub-optimality bound on a gradient method for iterative distributed control synthesis," in Proc. 19th Int. Symp. Mathematical Theory Networks Systems, Budapest, Hungary, 2010, pp. 1999-2003.
12. A. Rantzer and K. Martensson, "Gradient methods for iterative distributed control," in Proc. 48th IEEE Conf. Decision Control, Shanghai, China, 2009, pp. 549-554.
13. A. Al Alam, A. Gattami, and K. H. Johanson, "Suboptimal decentralized controller design for chain structures: Applications to vehicle formations," in Proc. 50th IEEE Conf. Decision Control European Control Conf., Orlando, FL, 2011, pp. 6894-6900.
14. F. Borrelli and T. Keviczky, "Distributed LQR design for identical dynammically decentralized systems," IEEE Trans. Autom. Control, vol. 53, no. 8, pp. 1901-1912, 2008.
15. Y. Zhang and S. Li, "Networked model predictive control based on neighbourhood optimization for serially connected large-scale processes," J. Process Control, vol. 17, no. 1, pp. 37-50, 2007. (Pubitemid 44854490)
16. J. M. Maestre, D. M. de la Peña, E. F. Camacho, and T. Alamo, "Distributed model predictive control based on agent negotiation," J. Process Control, vol. 21, no. 5, pp. 685-697, 2011.
17. A. Michelin and J. L. Speyer, "Relative value of measurements in a discrete decentralized LQG framework," in Proc. 50th IEEE Conf. Decision Control European Control Conf., Orlando, FL, 2011, pp. 6216-6223.
18. B. T. Stewart, A. N. Venkat, J. B. Rawlings, S. J. Wright, and G. Pannocchia, "Cooperative distributed model predictive control," Syst. Control Lett., vol. 59, no. 8, pp. 460-469, 2010.
19. G. F. Franklin, J. D. Powell, and M. Workman, Digital Control of Dynamic Systems. Reading, MA: Addison-Wesley, 1998.
20. J. N. Webb, Game Theory - Decisions, Interaction and Evolution. London, U.K.: Springer-Verlag, 2006.
21. T. Rabbani, S. Munier, D. Dorchies, P.-O. Malaterre, A. Bayen, and X. Litrico, "Flatness-based control of an irrigation canal using SCADA," IEEE Control Syst. Mag., vol. 29, no. 5, pp. 22-30, 2009.
22. Núcleo de Hidráulica e Controlo de Canais. Universidade de Évora, Évora, Portugal. [Online]. Available: http://canais.nuhcc. uevora.pt
23. X. Litrico and V. Fromion, Modeling and Control of Hydrosystems. London, U.K.: Springer-Verlag, 2009.
24. J. M. Lemos, F. Machado, N. Nogueira, L. Rato, and M. Rijo, "Adaptive and non-adaptive model predictive control of an irrigation channel," Netw. Heterogeneous Media, vol. 4, no. 2, pp. 303-324, 2009.
25. J. C. Doyle and G. Stein, "Robustness with observers," IEEE Trans. Autom. Control, vol. 24, no. 4, pp. 607-611, 1979.