Robust model predictive control of a Wiener-like system

Journal of the Franklin Institute

Volumn 350, Issue 3, 2013, Pages 556-574

  Figueroa, J L ^a,b   Biagiola, S I ^a,b,c   Alvarez, M P ^a   Castro, L R ^a,b   Agamennoni, O E ^a,b,d  

^a UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

^b Instituto de Investigaciones en Ingenieria Electrica Alfredo Desages   (Argentina)

^c Universidad Nacional de Río Cuarto Consejo Nacional de Investigaciones Científicas y Técnicas   (Argentina)

^d CONICET ^*  (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

LAGUERRE; PIECE-WISE LINEAR FUNCTIONS; ROBUST MODEL PREDICTIVE CONTROL;

PIECEWISE LINEAR TECHNIQUES;

ROBUST CONTROL;

EID: 84875250342     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2012.12.016     Document Type: Article

References (52)

1. J. Sjöberg, O. Zhang, L. Ljung, A. Benveniste, B. Delyon, P.Y. Glorennec, H. Hjalmarsson, and A. Juditsky Nonlinear black-box modeling in system identification a unified overview Automatica 12 12 1995 1691 1724
2. R. Haber, and H. Unbehauen Structure identification of nonlinear dynamic system a survey on input/output approaches Automatica 26 4 1990 651 677
3. A. Janczak Identification of Nonlinear Systems using Neural Networks and Polynomial Models vol. 310 2005 Springer Berlin
4. A. Kalafatis, N. Arifin, L. Wang, and W.R. Cluett A new approach to the identification of pH processes based on Wiener model Chemical Engineering Science 50 23 1995 3693 3701
5. K.P. Fruzzetti, A. Palazoglu, and K.A. McDonald Nonlinear model predictive control using Hammerstein models Journal of Process Control 7 1997 31 41
6. S.J. Norquay, A. Palazoglu, and J.A. Romagnoli Model predictive control based on Wiener models Chemical Engineering Science 53 1 1998 75 84
7. A. Visala, H. Pitkänen, J. Paanajärvi, Wiener-NN models and robust identification, in: International Joint Conference on Neural Networks (IJCNN'99), vol. 3, 10-16 July, Washington, DC, USA, 1999, pp. 2188-2193.
8. Y. Zhu, Distillation column identification for control using Wiener model, in: Proceedings of American Control Conference, vol. 5, 2-4 June, San Diego, CA, USA, 1999, pp. 3462-3466.
9. E. Eskinat, S. Johnson, and W. Luyben Use of Hammerstein models in identification of nonlinear systems AIChE Journal 37 1991 255 268
10. G. Sentoni, O. Agamennoni, A. Desages, and J. Romagnoli Approximate models for nonlinear process control AIChE Journal 42 1996 2240 2250
11. R.K. Pearson, and M. Pottmann Gray-box identification of block-oriented nonlinear models Journal of Process Control 10 2000 301 315
12. J.C. Gómez, and E. Baeyens Identification of block-oriented nonlinear systems using orthonormal bases Journal of Process Control 14 2004 685 697
13. S. Hadjiloucas, A. Izhac, R.K.H. Galvao, J.W. Bowen, V.M. Becerra, State-space model identification of a wireless THz network, in: Conference Digest of the 2004 Joint 29th International Conference on Infrared and Millimeter Waves, and 12th International Conference on Terahertz Electronics, 27 September-1 October, 2004, pp. 375-376.
14. A. Huang, J.M.A. Tanskanen, I.O. Hartimo, Design of optimum power estimator based on Wiener model applied to mobile transmitter power control, in: Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (ISCAS 98), Monterey, CA, USA, May, 1998, pp. 249-252.
15. P. Celka, and P. Colditz Nonlinear nonstationary Wiener model of infant EEG seizures IEEE Transactions on Biomedical Engineering 49 6 2002 556 564
16. I.W. Hunter, and M.J. Korenberg The identification of nonlinear biological systems Wiener and Hammerstein cascade models Biological Cybernetics 55 1986 135 144
17. W. Durfee, and K. Maclean Methods for estimating the isometric recruitment curve of electrically stimulated muscle IEEE Transactions on Biomedical Engineering 36 1989 654 667
18. D. Westwick, and R. Kearney Separable least squares identification of nonlinear Hammerstein models application to stretch reflex dynamics Annals of Biomedical Engineering 29 8 2001 707 718
19. E. Dempsey, and D. Westwick Identification of Hammerstein models with cubic spline nonlinearities IEEE Transactions on Biomedical Engineering 51 2 2004 237 245
20. F. Le, I. Markovsky, C. Freeman, and E. Rogers Identification of electrically stimulated muscle models of stroke patients Control Engineering Practice 18 2010 396 407
21. M. Sznaier Computational complexity analysis of set membership identification of Hammestein and Wiener systems Automatica 45 2009 701 705
22. H.H. Bloemen, T.J.J. Van Den Boom, and H.B. Verbruggen Model-based predictive control for Hammerstein-Wiener systems International Journal of Control 74 2001 482 495
23. I. Skrjanc, S. Blazic, and O.E. Agamennoni Interval fuzzy modeling applied to PWL Wiener models with uncertainties IEEE Transactions on Systems, Man, and Cybernetics, Part B 35 5 2005 1092 1095
24. M.P. Alvarez, L.R. Castro, and O.E. Agamennoni Set membership estimation theory for Wiener modelling using HLCPWL functions International Journal of Modelling, Identification and Control 14 1/2 2011 13 26
25. S.I. Biagiola, and J.L. Figueroa Robust model predictive control of Wiener systems International Journal of Control 84 3 2011 432 444
26. P. Falugi, L. Giarré, and G. Zappa Approximation of the feasible parameter set in worst-case identification of Hammerstein models Automatica 41 6 2005 1017 1024
27. P.M. Mäkilä On robustness in control and LTI identification near-linearity and non-conic uncertainty Automatica 42 2006 601 612
28. S.I. Biagiola, and J.L. Figueroa Identification of uncertain MIMO Wiener and Hammerstein models Computers and Chemical Engineering 35 12 2011 2867 2875
29. A. Lussón-Cervantes, O.E. Agamennoni, and J.L. Figueroa A nonlinear model predictive control scheme based on Wiener piecewise linear models Journal of Process Control 13 2003 655 666
30. S.I. Biagiola, and J.L. Figueroa Wiener and Hammerstein uncertain models identification Mathematics and Computers in Simulation 79 11 2009 3296 3313
31. M.P. Alvarez, L.R. Castro, J.L. Figueroa, O.E. Agamennoni, Set membership estimation theory for coupled MIMO Wiener-like models, in: Proceedings of the XIV Reunión en Procesamiento, Información y Control, 16-18 November 2011, Oro Verde, Entre Ríos, Argentina.
32. S.M. Kang, and L.O. Chua A global representation of multidimensional piecewise-linear functions with linear partitions IEEE Transactions on Circuits and Systems 25 1978 938 940
33. J.N. Lin, H. Xu, and R. Unbehahuen A generalization of canonical piecewise-linear functions IEEE Transactions on Circuits and Systems 41 1994 345 347
34. P. Julián, A.C. Desages, and O.E. Agamennoni High level canonical piecewise linear representation using a simplicial partition IEEE Transactions on Circuits and Systems CAS-46 1999 463 480
35. B. Wahlberg System identification using Kautz models IEEE Transactions on Automatic Control 39 6 1994 1276 1282
36. B. Wahlberg, and P.M. Makila On approximation of stable linear dynamic systems using Laguerre and Kautz functions Automatica 32 5 1996 693 708
37. M. Milanese Estimation theory and prediction in the presence of unknown but bounded uncertainty a survey M. Milanese, R. Tempo, A. Vicino, Robustness in Identification and Control 1989 Plenum Press New York
38. M. Milanese, and C. Novara Model quality in identification of nonlinear systems IEEE Transactions on Automatic Control 50 10 2005 1606 1611
39. M. Milanese, and R. Tempo Optimal algorithms theory for robust estimation and prediction IEEE Transactions on Automatic Control 30 8 1985 730 738
40. M. Milanese, and R. Tempo Optimal algorithms theory for dynamic systems with set membership uncertainty an overview Automatica 27 1991 997 1009
41. S.J. Qin, T.A. Badwell, An overview of industrial model predictive control technology, in: Carlos E. Garcia, Jeffrey C. Kantor, Brice Carnahan (Eds.), Proceedings of the Fifth International Conference on Chemical Process Control, AIChE Symposium Series 316, vol. 93, 1997, pp. 232-256.
42. B.W. Bequette Nonlinear control of chemical processes a review Industrial and Engineering Chemistry Research 30 1991 1391 1413
43. M.A. Henson Nonlinear model predictive control current status and future directions Computers and Chemical Engineering 23 1998 187 202
44. S. Gerkšič, D. Juričic, S. Strmčnic, and D. Matko Wiener model based nonlinear predictive control International Journal of Systems Science 31 2000 189 202
45. M.V. Kothare, V. Balakrishnan, and M. Morari Robust constrained model predictive control using linear matrix inequalities Automatica 32 1996 1361 1379
46. L.O. Chua, and L.P. Ying Solving nonlinear resistive networks using piecewise-linear analysis and simplicial subdivision IEEE Transactions on Circuits and Systems CAS-24 1977 305 317
47. H.X. Araújo, G.H.C. Oliveira, An LMI approach for output feedback robust predictive control using orthonormal basis functions, in: Proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, December 16-18, Shangai, PR China, 2009.
48. H∞ control of a Wiener type system International Journal of Control 77 6 2004 572 583
49. S. Skogestad, and M. Morari Understanding the dynamic behaviour of distillation columns Industrial and Engineering Chemistry Research 27 10 1988 1848 1862
50. S. Skogestad, and I. Postlethwaite Multivariable Feedback Control. Analysis and Design second ed. 2007 John Wiley & Sons
51. P. Gahinet, A. Nemirovski, A.J. Laub, and M. Chilali LMI Control Toolbox 1995 The MathWorks MA, USA
52. S. Boyd, and L.O. Chua Fading memory and the problem of approximating nonlinear operators with Volterra series IEEE Transactions on Circuits and Systems CAS-32 11 1985 1150 1161