Advanced-multi-step nonlinear model predictive control

Journal of Process Control

Volumn 23, Issue 8, 2013, Pages 1116-1128

  Yang, Xue ^a   Biegler, Lorenz T ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Nonlinear programming; Optimization; Predictive control; Real time; Sensitivity

Indexed keywords

COMPUTATIONAL DELAYS; CONTINUOUS STIRRED TANK REACTOR; MANIPULATED VARIABLES; MULTI-INPUT , MULTI-OUTPUT SYSTEMS; NONLINEAR MODEL PREDICTIVE CONTROL; PREDICTIVE CONTROL; REAL-TIME; SENSITIVITY;

DISTILLATION COLUMNS; NONLINEAR PROGRAMMING; NONLINEAR SYSTEMS; OPTIMIZATION; STABILITY;

PREDICTIVE CONTROL SYSTEMS;

EID: 84881146438     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2013.06.011     Document Type: Conference Paper

References (37)

1. F. Allgöwer, and A. Zheng Nonlinear Model Predictive Control, vol. 26 2000 Birkhäuser Verlag Basel/Boston/Berlin
2. Assessment and future directions of nonlinear model predictive control,;1; Springer Berlin, Heidelberg, 2007.
3. L. Grüne, and J. Pannek Nonlinear Model Predictive Control: Theory and Design 2011 Springer-Verlag London
4. J.B. Rawlings, and D.Q. Mayne Model Predictive Control: Theory and Design 2009 Nob Hill Publishing Madison
5. R. Findeisen, and F. Allgöwer Computational delay in nonlinear model predictive control Proc. Int. Symp. Adv. Control of Chemical Processes (ADCHEM) Hong Kong 2004
6. L.O. Santos, P.A. Afonso, J.A. Castro, N.M. Oliveira, and L.T. Biegler On-line implementation of nonlinear MPC: an experimental case study Control Engineering Practice 9 8 2001 847 857 (Pubitemid 32774391)
7. G. Pannocchia, J.B. Rawlings, and S.J. Wright Fast, large-scale model predictive control by partial enumeration Automatica 43 2007 852 860 (Pubitemid 46507426)
8. W. Li, and L.T. Biegler Multistep, Newton-type control strategies for constrained, nonlinear processes Chemical Engineering Research and Design 67 1989 562 577 (Pubitemid 20637679)
9. M. Alamir A framework for monitoring control updating period in real-time NMPC schemes L. Magni, D. Raimondo, F. Allögwer, Nonlinear Model Predictive Control, vol. 384 of Lecture Notes in Control and Information Sciences 2009 Springer Berlin, Heidelberg 433 445
10. M. Diehl, H.G. Bock, and J.P. Schlöder A real-time iteration scheme for nonlinear optimization in optimal feedback control SIAM Journal on Control and Optimization 43 2005 1714 1736 (Pubitemid 41561983)
11. T. Ohtsuka A continuation/GMRES method for fast computation of nonlinear receding horizon control Automatica 40 4 2004 563 574
12. Z. Nagy, B. Mahn, R. Franke, and F. Allgöwer Real-time implementation of nonlinear model predictive control of batch processes in an industrial framework R. Findeisen, F. Allgöwer, L.T. Biegler, Assessment and Future Directions of Nonlinear Model Predictive Control, vol. 358 of Lecture Notes in Control and Information Sciences 2007 Springer Berlin, Heidelberg 465 472
13. R. Franke, and J. Doppelhamer Integration of advanced model based control with industrial IT R. Findeisen, F. Allgöwer, L.T. Biegler, Assessment and Future Directions of Nonlinear Model Predictive Control, vol. 358 of Lecture Notes in Control and Information Sciences 2007 Springer Berlin, Heidelberg 399 406
14. R. Bartusiak NLMPC: A platform for optimal control of feed- or product-flexible manufacturing R. Findeisen, F. Allgöwer, L.T. Biegler, Assessment and Future Directions of Nonlinear Model Predictive Control, Vol. 358 of Lecture Notes in Control and Information Sciences 2007 Springer Berlin, Heidelberg 367 381
15. M. Diehl, H. Bock, J.P. Schlöder, R. Findeisen, Z. Nagy, and F. Allgöwer Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations Journal of Process Control 12 4 2002 577 585 (Pubitemid 34302551)
16. L. Würth, R. Hannemann, and W. Marquardt Neighboring-extremal updates for nonlinear model-predictive control and dynamic real-time optimization Journal of Process Control 19 2009 1277 1288
17. I. Wolf, L. Würth, and W. Marquardt Rigorous solution vs. fast update: acceptable computational delay in NMPC 50th IEEE Conference on Decision and Control and European Control Conference Orlando, FL, USA 2011 5230 5235
18. N. Ganesh, and L.T. Biegler A reduced Hessian strategy for sensitivity analysis of optimal flowsheets AIChE Journa 33 2 1987 282 296 (Pubitemid 17529206)
19. J. Kadam, and W. Marquardt Sensitivity-based solution updates in closed-loop dynamic optimization DYCOPS 7 Cambridge, USA 2004
20. J. Kadam, and W. Marquardt Integration of economical optimization and control for intentionally transient process operation R. Findeisen, F. Allgöwer, L. Biegler, Assessment and Future Directions of Nonlinear Model Predictive Control, Vol. 358 of Lecture Notes in Control and Information Sciences 2007 Springer Berlin, Heidelberg 419 434
21. V.M. Zavala, and L.T. Biegler Nonlinear programming strategies for state estimation and model predictive control L. Magni, D. Raimondo, F. Allgöwer, Nonlinear Model Predictive Control, vol. 384 of Lecture Notes in Control and Information Sciences 2009 Springer Berlin, Heidelberg 419 432
22. V.M. Zavala, and L.T. Biegler The advanced-step NMPC controller: optimality, stability and robustness Automatica 45 2009 86 93
23. L.T. Biegler Nonlinear Programming: Concepts, Algorithms, and Application to Chemical Processes 2010 SIAM Philadelphia
24. V.M. Zavala Computational strategies for the optimal operation of large-scale chemical processes 2008 Carnegie Mellon University (Ph.D. thesis)
25. R.A. Bartlett, and L.T. Biegler QPSchur: a dual, active-set, Schur-complement method for large-scale and structured convex quadratic programming Optimization and Engineering 7 2006 5 32
26. N.M.C. de Oliveira, and L.T. Biegler Constraint handling and stability properties of model-predictive control Process Systems Engineering 40 1998 1138 1155
27. L. Magni, and R. Scattolini Robustness and robust design of MPC for nonlinear discrete-time systems R. Findeisen, F. Allgöwer, L. Biegler, Assessment and Future Directions of Nonlinear Model Predictive Control, vol. 358 of Lecture Notes in Control and Information Sciences 2007 Springer Berlin, Heidelberg 239 254
28. D. Angeli, R. Amrit, and J.B. Rawlings Receding horizon cost optimization for overly constrained nonlinear plants Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference 2009
29. H. Pirnay, R. López-Negrete, and L.T. Biegler Optimal sensitivity based on IPOPT Mathematical Program. Computation 4 2012 307 331
30. X. Yang, and L.T. Biegler Advanced-multi-step nonlinear model predictive control Proc. Int. Symp. Adv. Control of Chemical Processes (ADCHEM) Singapore 2012 426 431
31. G.A. Hicks, and W.H. Ray Approximation methods for optimal control synthesis Canadian Journal of Chemical Engineering 49 1971 522 528
32. R. Huang, V.M. Zavala, and L.T. Biegler Advanced step nonlinear model predictive control for air separation units Journal of Process Control 19 4 2009 678 685
33. R. Perry, D. Green, and J. Maloney Perry's Chemical Engineers' Handbook, Chemical Engineering Series 1997 McGraw-Hill Professional Publishing New York
34. R. Huang, and L.T. Biegler Economic NMPC for energy intensive applications with electricity price prediction I. Karimi, R. Srinivasan, Intl. Symp. on Process Systems Engineering, Comput. Chem. Eng., vol. 31 2012 Elsevier Amsterdam 1612 1616
35. R. Huang, L.T. Biegler, and E. Harinath Robust stability of economically oriented infinite horizon NMPC that include cyclic processes Journal of Process Control 22 1 2012 51 59
36. M. Diehl, R. Amrit, and J. Rawlings A Lyapunov function for economic optimizing model predictive control IEEE Transactions on Automatic Control 56 3 2011 703 707
37. D. Angeli, R. Amrit, and J. Rawlings On average performance and stability of economic model predictive control IEEE Transactions on Automatic Control 57 7 2012 1615 1626