ILC-based generalised PI control for output PDF of stochastic systems using LMI and RBF neural networks

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 5048-5053

  Wang, Hong ^a,b   Afshar, Puya ^a,b   Yue, Hong ^b  

^a IEEE

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Convergence analysis; ILC mechanism; LMI; PI control; RBF neural networks; Stochastic systems; Subspace system identification; Tracking performance

Indexed keywords

IDENTIFICATION (CONTROL SYSTEMS); LINEAR MATRIX INEQUALITIES; NEURAL NETWORKS; OPTIMIZATION; PROBABILITY DENSITY FUNCTION;

CONVERGENCE ANALYSIS; ILC MECHANISM; RADIAL BASIS FUNCTION NEURAL NETWORK (RBFNN).; SUBSPACE SYSTEM IDENTIFICATION; TRACKING PERFORMANCE;

STOCHASTIC CONTROL SYSTEMS;

EID: 39649101949     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.376795     Document Type: Conference Paper

References (24)

1. A. Arimoto, S. Kawamura and F. Miyazaki, "Bettering Operation of Robots by Learning", J. Robotic Sys., 1984, Vol. 1, pp. 123-140.
2. Z.Bien,K.M.Huh,"High-order Iterative learning control algorithm", IEE Proc.-D, Con. Theory Apps., 1989, Vol. 136, pp. 105-112.
3. H. F. Chen, H. T. Fang, "Output Tracking for Non-linear stochastic systems by iterative leaning control," IEEE Trans. Aut. Control, Vol. 49, No.4, pp. 583-588, April 2004.
4. H. S. Cho, J. S. Chung, and W. Y. Lee, "Control of molecular weight distribution for polyethylene catalyzed over Ziegler-Natta/Metallocene hybrid and mixed catalysts", J. Molecular Catalysis A: Chemical, Vol. 159, Issue 2, pp. 203-213, 2000.
5. T. J. Crowley and K. Y. Choi, "Experimental studies on optimal molecular weight distribution control in a batch-free radical polymerization process", Chem. Eng. Science, Vol. 53, Issue 15, pp. 2769-2790, 1998.
6. F. J. Doyle, III, C. A. Hartison, and T. J. Crowley, "Hybrid model-based approach to batch-to-bateh control of particle size distribution in emulsion polymerization", Computers & Chemical Engineering, Vol 27, Issues 8-9, pp. 1153-1163, September 2003.
7. C.A. Dunbar and A.J. Hickey, "Evaluation of probability density functions to approx. particle size distr. of represent. Pharmaceutical aerosols", Aerosol, Vol.31, no.7, pp. 813-831, 2000.
8. L. Guo, H. Wang, "Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-Spline models", Intl. J. Control, 2004, Vol.77, No. 17, pp 1481-1492.
9. C. Ham, Z.H. Qu, J. Kaloust, "A new framework of learning control for a class of nonlinear sys.", Proc.ACC '95, pp. 3024-3028.
10. D.H. Hwang, Z. Bien, S.R. Oh, "Iterative Learning Control Method for discrete-time dynamic systems", IEE Proc. -D, 1991, Vol. 138, No.2, pp. 139-144.
11. C. D. Immanuel and F. J. Doyle III, "Open-loop control of particle size distribution in semi-batch emulsion copolymerization Using a genetic algorithm", Chem-Eng., Vol. 57, n.o.20, pp.4415-4427, 2002.
12. K. Lee, J. H. Lee, D. R. Yang "Iritgrtd run-to-run and on-line model-based PSDC for a semi-batch precipitation reactor", Computers & Chemical Eng, Vol. 26, pp. 1117-1131, 2002.
13. S.-R. Oh, Z. Bien, I.H. Suh, "An Iterative, Learning control method with application for the Robot Manipulator", IEEE J. Robotics Aut., 1988, Vol. 4, No.5, pp. 508-514.
14. D. Shi, N. H. El-Farra, M. Li, P. Mhaskar, "Predictive control of particle size distribution in particulate processes", Chem. Eng. Science, Vol. 61, Issue 1, pp. 268-281, January 2006.
15. Y. Shibasaki, T. Araki, R. Nagahata and M. Ueda, "MWDC in poly-condensation polymers 2. Poly synthesis" Euro. Poly. J., Vol. 41, 10, pp. 2428-2433, 2005.
16. G. A. Smook, Handbook for Pulp and Paper Technology, Vancouver, Angus Wilde Publication Inc., 1992.
17. P. Van Oversehee, B. De Moor; "N4SID: Subspace algorithms for the identification of combined deterministic-Stochastic systems", Automatica, Vol.30, No.1, pp 75-93, 1994.
18. Verhaegen, "Identification, of deterministic part of MIMO state space models given in innovations from Input-Output data", Automatica, Vol.30, No. 1, pp61-74, 1994.
19. M. Vicente, C. Sayer, J. R. Leiza, G. Arzamendi, E. L. Lima, J. C. Pinto and J. M. Asua, "Dynamic optim. non-linear emulsion copolymerization sys. Open-loop ctrl. Composition,MWD", Chem. Eng.J., Vol. 85, Issues, 2-3, pp. 339-349, 2002.
20. H. Wang, "Control of the Output PDF for a class of nonlinear stochastic systems",Proc IFAC real-time., 1998, Mexico, pp.95-99.
21. H. Wang, "Robust Control of the Output PDF for multivariable stochastic systems with guaranteed stability", IEEE Trans. Aut. Con., 1999, Vol. 44, pp. 2103-2107.
22. H. Wang, "Bounded Dynamic Stochastic Systems: Modelling and Control", 2000, London: Springer-Verlag Ltd.
23. H. Yue, H. Wang, "Recent Developments in Stochastic Distribution Control: A Review", Measurement and Control, 2003, Vol. 36, pp. 209-215.
24. H. Wang, J.F. Zhang, H. Yue, "Iterative Learning Control of Output PDF Shaping in Stochastic Systems", Proc. IEEE. Intl. Sym. intelligent Control, 2005, pp. 1225-1230.