Opportunities and challenges in the application of nonlinear MPC to industrial problems

Linear MPC has been a major success story in industry. Arguably this is due to its capacity to deal with constraints and its seamless treatment of multivariable problems. Nonlinear MPC has also been extensively studied and advocated as a practical control strategy for processes whose dynamics are inherently nonlinear. In this paper we examine two industrial case studies to illustrate the power of nonlinear MPC in practice. We also use these case studies to point to future research challenges and opportunities.

[1]  T. Basar,et al.  A receding-horizon approach to robust output feedback control for nonlinear systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[2]  Jean-Loup Chenot,et al.  A numerical model for induction heating processes coupling electromagnetism and thermomechanics , 2003 .

[3]  Norman C. Beaulieu,et al.  A Quadrature Markov Chain Model of the Rayleigh Fading Channel , 2008, 2008 IEEE International Conference on Communications.

[4]  Rémy Glardon,et al.  Numerical modeling in induction heating for axisymmetric geometries , 1997 .

[5]  Gregory E. Bottomley,et al.  A generalized RAKE receiver for interference suppression , 2000, IEEE Journal on Selected Areas in Communications.

[6]  H.W. Cho,et al.  Thermal analysis of induction heating roll with heat pipes , 2003, Digest of INTERMAG 2003. International Magnetics Conference (Cat. No.03CH37401).

[7]  Fredrik Gustafsson,et al.  Dynamical effects of time delays and time delay compensation in power controlled DS-CDMA , 2001, IEEE J. Sel. Areas Commun..

[8]  Fredrik Gustafsson,et al.  Time delay compensation for CDMA power control , 2000, Globecom '00 - IEEE. Global Telecommunications Conference. Conference Record (Cat. No.00CH37137).

[9]  Riccardo Scattolini,et al.  Output feedback and tracking of nonlinear systems with model predictive control , 2001, Autom..

[10]  Meng Wang,et al.  Three-Degree of Freedom Adaptive Power Control for CDMA Cellular Systems , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[11]  Rémy Glardon,et al.  Numerical modelling of induction heating of long workpieces , 1994 .

[12]  P. C. Jain,et al.  A simple modified fixed step size power control algorithm for CDMA cellular systems , 2009, 2009 International Multimedia, Signal Processing and Communication Technologies.

[13]  Kumbesan Sandrasegaran,et al.  Partial time delay compensation technique for UMTS adaptive power control , 2008 .

[14]  Manfred Morari,et al.  Contractive model predictive control for constrained nonlinear systems , 2000, IEEE Trans. Autom. Control..

[15]  G. Nicolao,et al.  Stability and Robustness of Nonlinear Receding Horizon Control , 2000 .

[16]  Gregory E. Bottomley,et al.  Adaptive generalized rake reception in DS-CDMA systems - [transactions papers] , 2009, IEEE Transactions on Wireless Communications.

[17]  D. Mayne,et al.  Receding horizon control of nonlinear systems , 1990 .

[18]  G. Nicolao,et al.  Output Feedback Receding-Horizon Control of Discrete-Time Nonlinear Systems , 1998 .

[19]  R. Steele,et al.  Closed-loop power control in CDMA systems , 1996 .

[20]  L. Magni,et al.  Stability margins of nonlinear receding-horizon control via inverse optimality , 1997 .

[21]  Edward P. Furlani,et al.  A computer simulation of an induction heating system , 1991 .

[22]  F. Fontes.  A General Framework to Design Stabilizing Nonlinear Model Predictive Controllers , 2001 .

[23]  G. Zimmer.  State observation by on-line minimization , 1994 .

[24]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[25]  Bore-Kuen Lee,et al.  Adaptive power control of cellular CDMA systems via the optimal predictive model , 2005 .

[26]  K. Sandrasegaran,et al.  Performance Comparison of Adaptive Power Control in UMTS , 2007, The 2nd International Conference on Wireless Broadband and Ultra Wideband Communications (AusWireless 2007).

[27]  F. Allgower,et al.  Computational feasibility and performance of nonlinear model predictive control schemes , 2001, 2001 European Control Conference (ECC).

[28]  Gerd Ascheid,et al.  Enhanced Predictive Up/Down Power Control for CDMA Systems , 2006, 2006 IEEE International Conference on Communications.

[29]  Saiful Islam,et al.  Novel Adaptive Step Power Control algorithm for 3G WCDMA cellular system , 2009, 2009 12th International Conference on Computers and Information Technology.

[30]  E.J.W. ter Maten,et al.  Simulation of inductive heating , 1992 .

[31]  Graham C. Goodwin,et al.  An MPC-based nonlinear quantizer for bit rate constrained networked control problems with application to inner loop power control in WCDMA , 2011, 2011 9th IEEE International Conference on Control and Automation (ICCA).

[32]  Yang Wang,et al.  A new Simulation Model of Multipath Independent Rayleigh Fading Channels , 2006, 2006 International Conference on Communication Technology.

[33]  Hong Chen,et al.  Nonlinear Model Predictive Control Schemes with Guaranteed Stability , 1998 .

[34]  Heikki N. Koivo,et al.  Adaptive closed-loop power control algorithms for CDMA cellular communication systems , 2004, IEEE Transactions on Vehicular Technology.

[35]  K. Sandrasegaran,et al.  Performance study of new adaptive power control algorithm , 2007, 2007 International Symposium on Communications and Information Technologies.

[36]  Malur K. Sundareshan,et al.  Design of Decentralized Observation Schemes for Large-Scale Interconnected Systems: Some New Results , 1989, 1989 American Control Conference.

[37]  L. Grüne,et al.  Nonlinear Model Predictive Control : Theory and Algorithms. 2nd Edition , 2011 .

[38]  Norman C. Beaulieu,et al.  Novel Sum-of-Sinusoids Simulation Models for Rayleigh and Rician Fading Channels , 2006, IEEE Transactions on Wireless Communications.

[39]  Jean-Michel Bergheau,et al.  Coupling between finite elements and boundary elements for the numerical simulation of induction heating processes using a harmonic balance method , 2003 .

[40]  Riccardo Scattolini,et al.  Stabilizing nonlinear receding horizon control via a nonquadratic terminal state penalty , 1996 .

[41]  Dong-Ho Cho,et al.  A new adaptive power control scheme based on mobile velocity in wireless mobile communication systems , 2001, IEEE VTS 53rd Vehicular Technology Conference, Spring 2001. Proceedings (Cat. No.01CH37202).

[42]  Yan Ping Liu,et al.  Numerical Simulation of PC Steel Bar Induction Heating Process , 2011 .

[43]  Xiaoguang Yang,et al.  Simulation of induction heating device with double inductors for continuously heating up steel bars , 2008, 2008 World Automation Congress.

[44]  Stephen J. Wright,et al.  Nonlinear Predictive Control and Moving Horizon Estimation — An Introductory Overview , 1999 .

[45]  Lorenz T. Biegler,et al.  Efficient Solution of Dynamic Optimization and NMPC Problems , 2000 .

[46]  T. P. Skoczkowski,et al.  The mathematical model of induction heating of ferromagnetic pipes , 1989 .

[47]  Zoltan K. Nagy,et al.  Efficient Nonlinear Model Predictive Control for Large Scale Constrained Processes , 2000 .