An improved state-space model structure and a corresponding predictive functional control design with improved control performance

International Journal of Control

Volumn 85, Issue 8, 2012, Pages 1146-1161

  Zhang, Ridong ^a,b   Xue, Anke ^a   Wang, Shuqing ^b   Zhang, Jianming ^b  

^a HANGZHOU DIANZI UNIVERSITY   (China)

^b STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

Author keywords

closed loop control performance; discrete time processes; predictive functional control; state space model

Indexed keywords

CLOSED FORM; CLOSED-LOOP CONTROL; CONTROL PERFORMANCE; DIRECT USE; DISCRETE TIME; FEEDBACK CONTROLLER DESIGN; FUNCTION REPRESENTATIONS; INPUT AND OUTPUTS; MODEL MISMATCH; NUMERICAL CONVERGENCE; OUTPUT-TRACKING; PLANT INPUTS; PREDICTIVE FUNCTIONAL CONTROL; STATE ESTIMATORS; STATE INFORMATION; STATE-SPACE; STATE-SPACE MODELS;

CONTROL; MODEL PREDICTIVE CONTROL; OBSERVABILITY; PREDICTIVE CONTROL SYSTEMS;

CONTROLLERS;

EID: 84863603712     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179.2012.679971     Document Type: Article

References (50)

1. Astrom, K.J., and Wittenmark, B. (1997), Computer Controlled Systems: Theory and Design (3rd ed.), Englewood Cliffs, NJ: Prentice-Hall.
2. Balchen, J.G., Ljungguist, D., and Strand, S. (1992), 'Statespace Predictive Control', Chemical Engineering Science, 47, 787-807.
3. Bitmead, R.R., Gevers, M., and Wertz, V. (1990), Adaptive Optimal Control: The Thinking Man's GPC, New York, NY: Prentice Hall.
4. Brian Froisy, J. (2006), 'Model Predictive Control-building a Bridge between Theory and Practice', Computers and Chemical Engineering, 30, 1426-1435.
5. Chotai, A., Young, P.C., Mckenna, P.G., and Tych, W. (1998), 'Proportional-integral-plus (PIP) Design for Delta Operator Systems: Parts 1 and 2', International Journal of Control, 70, 123-147, 149-168. (Pubitemid 128552920)
6. Clarke, D.W., Mohtadi, C., and Tuffs, P.S. (1987), 'Generalized Predictive Control. Part 1: The Basic Algorithm. Part 2: Extensions and Interpretations', Automatica, 23, 137-160.
7. Cutler, C.R., and Ramaker, B.L. (1980), 'Dynamic Matrix Control-A Computer Control Algorithm', in Proceedings of the Joint Automatic Control Conference, San Francisco, CA, 13-15 August, paper no. wp5-B, pp. 1-6.
8. Dubljevic, S. (2010), 'Model Predictive Control of Kuramoto-Sivashinsky Equation with State and Input Constraints', Chemical Engineering Science, 65, 4388-4396.
9. Ebert, W. (2001), 'Optimal Filtered Predictive Control - A Delta Operator Approach', Systems and Control Letters, 42, 15, 69-80.
10. Exadaktylos, V., and Taylor, C.J. (2010), 'Multi-objective Performance Optimization for Model Predictive Control by Goal Attainment', International Journal of Control, 83, 1374-1386.
11. Exadaktylos, V., Taylor, C.J., Wang, L., and Young, P.C. (2009), 'Forward Path Model Predictive Control using a Non-minimal State Space Form', Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 223, 353-369.
12. Garcia, C.E., and Morshedi, A.M. (1986), 'Quadratic Programming Solution to Dynamic Matrix Control (QDMC)', Chemical Engineering Communication, 46, 73-87.
13. Gawthrop, P.J., and Wang, L. (2006), 'Intermittent Predictive Control of an Inverted Pendulum', Control Engineering Practice, 14, 1347-1356. (Pubitemid 43906187)
14. Gonzalez, A.H., Adam, E.J., Marcovecchio, M.G., and Odloak, D. (2011), 'Application of an Extended IHMPC to an Unstable Reactor System: Study of Feasibility and Performance', Journal of Process Control, 21, 1493-1503.
15. Grossmann, C., Ströhlein, G., Morari, M., and Morbidelli, M. (2010), 'Optimizing Model Predictive Control of the Chromatographic Multi-column Solvent Gradient Purification (MCSGP) Process', Journal of Process Control, 20, 618-629.
16. Jacob, N.C., and Dhib, R. (2011), 'Unscented Kalman Filter based Nonlinear Model Predictive Control of a LDPE Autoclave Reactor', Journal of Process Control, 21, 1332-1344.
17. Kadali, R., Huang, B., and Rossiter, A. (2003), 'A Data Driven Subspace Approach to Predictive Controller Design', Control Engineering Practice, 11, 261-278. (Pubitemid 36440189)
18. Krauss, P., Dass, K., and Rake, H. (1994), 'Model-based Predictive Controller with Kalman Filtering for State Estimation', in Advances in Model-based Predictive Control, ed. D.W. Clarke, Oxford: Oxford University Press, pp. 69-83.
19. Lauri, D., Rossiter, J.A., Sanchis, J., and Martínez, M. (2010), 'Data-driven Latent-variable Model-based Predictive Control for Continuous Processes', Journal of Process Control, 20, 1207-1219.
20. Lee, J.H., Morari, M., and Garcia, C.E. (1994), 'State-space Interpretation of Model Predictive Control', Automatica, 30, 707-717. (Pubitemid 124008344)
21. Lee, M.J., Taylor, C.J., Young, P.C., and Chotai, A. (1998), 'Modelling and PIP Control Design for Open Top Chambers', Control Engineering Practice, 6, 1209-1216. (Pubitemid 128384994)
22. Maciejowski, J.M. (2002), Predictive Control with Constraints, London: Prentice Hall.
23. Mayne, D.Q., Rawlings, J.B., Rao, C.V., and Scokaert, P.O.M. (2000), 'Constrained Model Predictive Control: Stability and Optimality', Automatica, 36, 789-814. (Pubitemid 30587683)
24. Muske, K., and Rawlings, J.B. (1993a), 'Linear Model Predictive Control of Unstable Processes', Journal of Process Control, 3, 85-96.
25. Muske, K., and Rawlings, J.B. (1993b), 'Model Predictive Control with Linear Models', AIChE Journal, 39, 262-287.
26. Nagy, Z.K., Mahn, B., Franke, R., and Allgöwer, F. (2007), 'Evaluation Study of an Efficient Output Feedback Nonlinear Model Predictive Control for Temperature Tracking in an Industrial Batch Reactor', Control Engineering Practice, 15, 839-850. (Pubitemid 46567748)
27. Oblak, S., and Skrjanc, I. (2010), 'Continuous-time Wienermodel Predictive Control of a pH Process based on a PWL Approximation', Chemical Engineering Science, 65, 1720-1728.
28. Pannocchia, G., and Rawlings, J. (2003), 'Disturbance Models for Offset-free Model Predictive Control', AICHE Journal, 39, 262-287.
29. Prakash, J., Patwardhan, S.C., and Shah, S.L. (2010), 'State Estimation and Nonlinear Predictive Control of Autonomous Hybrid System using Derivative Free State Estimators', Journal of Process Control, 20, 787-799.
30. Qin, S.J., and Badgwell, T.A. (2003), 'A Survey of Industrial Model Predictive Control Technology', Control Engineering Practice, 11, 733-764. (Pubitemid 36906334)
31. Rawlings, J.B. (2000), 'Tutorial Overview of Model Predictive Control', IEEE Control Systems Magazines, 20, 38-52.
32. Richalet, J. (1993), 'Industrial Application of Model based Predictive Control', Automatica, 29, 1251-1270.
33. Ricker, N.L. (1990), 'Model Predictive Control with State Estimation', Industrial and Engineering Chemistry Research, 29, 569-577.
34. Ricker, N.L. (1991), 'Model-predictive Control: State of the Art', in Proceedings of the Fourth International Conference on Chemical Process Control, Padre Island, TX, 17-22 February, pp. 271-296.
35. Scheu, H., and Marquardt, W. (2011), 'Sensitivity-based Coordination in Distributed Model Predictive Control', Journal of Process Control, 21, 715-728.
36. Scokaert, P.O., and Rawlings, J.B. (1998), 'Constrained Linear Quadratic Regulation', IEEE Transactions on Automatic Control, 43, 1163-1169. (Pubitemid 128737403)
37. Shead, L.R.E., Muske, K.R., and Rossiter, J.A. (2010), 'Conditions for which Linear MPC Converges to the Correct Target', Journal of Process Control, 20, 1243-1251.
38. Taylor, C.J., Chotai, A., and Young, P.C. (2000), 'State Space Control System Design based on Non-minimal State Variable Feedback: Further Generalization and Unification Results', International Journal of Control, 73, 1329-1345. (Pubitemid 35395374)
39. Taylor, C.J., Chotai, A., and Young, P.C. (2001), 'Design and Application of PIP Controllers: Robust Control of the IFAC93 Benchmark', Transactions of the Institute of Measurement and Control, 23, 183-200. (Pubitemid 32732394)
40. Taylor, C.J., McCabe, A.P., Young, P.C., and Chotai, A. (2000), 'Proportional-Integral-Plus (PIP) Control of the Gasifier Benchmark System', Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 214, 469-480. (Pubitemid 32159736)
41. Taylor, C.J., and Shaban, E.M. (2006), 'Multivariable Proportional-integral-plus (PIP) Control of the ALSTOM Nonlinear Gasifier Simulation', Proceedings of the Institution of Electrical Engineers, Control Theory and Applications, 153, 277-285.
42. Tenny, M.J., Rawlings, J.B., and Wright, S.J. (2004), 'Closed-loop Behavior of Nonlinear Model Predictive Control', AICHE Journal, 50, 2142-2154. (Pubitemid 39108774)
43. Vogel, E.F., and Downs, J.J. (2002), 'Industrial Experience with State-space Model Predictive Control', in: Proceedings of the Sixth International Conference on Chemical Process Control, Tucson, AZ, 7-12 January 2001, eds. J.B. Rawlings, B.A. Ogunnaike and J.W. Eaton, New York, NY: CACHE, American Institute of Chemical Engineers, vol. 98, pp. 438-442.
44. Wang, C., and Young, P.C. (1988), 'Direct Digital Control by Input-Output State Variable Feedback: Theoretical Background', International Journal of Control, 747, 97-109. (Pubitemid 18580606)
45. Wang, L., and Young, P.C. (2006), 'An Improved Structure for Model Predictive Control using Non-minimal State Space Realization', Journal of Process Control, 16, 355-371. (Pubitemid 41808691)
46. Young, P.C., Behzadi, M.A., Wang, C.L., and Chotai, A. (1987), 'Direct Digital and Adaptive Control by Inputoutput, State Variable Feedback', International Journal of Control, 46, 1861-1881.
47. Young, P.C., Lee, M.J., Chotai, A., Tych, W., and Chalabi, Z.S. (1994), 'Modelling and PIP Control of a Glasshouse Micro-climate', Control Engineering Practice, 2, 591-604.
48. Young, P.C., and Willems, J.C. (1972), 'An Approach to the Linear Multivariable Servomechanism Problem', International Journal of Control, 15, 961-975.
49. Zhang, R.D., Xue, A.K., and Wang, S.Q. (2011a), 'Dynamic Modeling and Nonlinear Predictive Control based on Partitioned Model and Nonlinear Optimization', Industrial and Engineering Chemistry Research, 50, 8110-8121.
50. Zhang, R.D., Xue, A.K., Wang, S.Q., and Ren, Z.Y. (2011b), 'An Improved Model Predictive Control Approach based on Extended Non-minimal State Space Formulation', Journal of Process Control, 21, 1183-1192.