Integrated Multilinear Model Predictive Control of Nonlinear Systems Based on Gap Metric

Two integrated multilinear model predictive control (MLMPC) algorithms are proposed for nonlinear chemical processes. The gap metric and the gap metric stability margin are employed to select local linear models and design local MPC controllers. Thus, the local stability and desired closed-loop performance can be incorporated into the model bank selection process. After that, a gap-metric-based weighting method is used to combine the local MPC controllers into a global MLMPC controller for the nonlinear process. Therefore, the local model selection, the local controller design, and the local controller combination are all completed according to the gap-metric-based criteria. Close connections are established among the three key elements of the multilinear model predictive control approach. Thereby the design of a MLMPC controller is more systematic, which is found to improve the accuracy and robust performance of a MLMPC controller. Since the gap metric does not consider constraints and the use of linear ...

[1]  Ke Hu,et al.  Multi-model predictive control method for nuclear steam generator water level , 2008 .

[2]  Tor Arne Johansen,et al.  Non-linear predictive control using local models-applied to a batch fermentation process , 1995 .

[3]  Lino O. Santos,et al.  A robust multi-model predictive controller for distributed parameter systems , 2012 .

[4]  Ravindra D. Gudi,et al.  A gap metric based multiple model approach for nonlinear switched systems , 2012 .

[5]  Jingjing Du,et al.  Application of gap metric to model bank determination in multilinear model approach , 2009 .

[6]  B. Wayne Bequette,et al.  Extension of dynamic matrix control to multiple models , 2003, Comput. Chem. Eng..

[7]  Ahmet Palazoglu,et al.  Multimodel Scheduling Control of Nonlinear Systems Using Gap Metric , 2004 .

[8]  Alireza Fatehi,et al.  Multiple model bank selection based on nonlinearity measure and H-gap metric , 2012 .

[9]  Doug Cooper,et al.  A Practical Multiple Model Adaptive Strategy for Multivariable Model Predictive Control , 2003 .

[10]  Jingjing Du,et al.  Multilinear model decomposition of MIMO nonlinear systems and its implication for multilinear model-based control , 2013 .

[11]  T. Georgiou,et al.  Optimal robustness in the gap metric , 1990 .

[12]  Ren Chongyu,et al.  Clustering Multi-model Generalized Predictive Control and its Application in Wastewater Biological Treatment Plant , 2013 .

[13]  Wen Tan,et al.  Multimodel analysis and controller design for nonlinear processes , 2004, Comput. Chem. Eng..

[14]  André Desbiens,et al.  Launch ascent guidance by discrete multi-model predictive control , 2014 .

[15]  A. El-Sakkary,et al.  The gap metric: Robustness of stabilization of feedback systems , 1985 .

[16]  C. Georgakis,et al.  Control of a solution copolymerization reactor using multi-model predictive control , 2003 .

[17]  Jingjing Du,et al.  Multimodel Control of Nonlinear Systems: An Integrated Design Procedure Based on Gap Metric and H∞ Loop Shaping , 2012 .

[18]  Doug Cooper,et al.  A practical multiple model adaptive strategy for single-loop MPC , 2003 .

[19]  Jose A. Romagnoli,et al.  Gap Metric Concept and Implications for Multilinear Model-Based Controller Design , 2003 .

[20]  Shaoyuan Li,et al.  Multi-model predictive control based on the Takagi-Sugeno fuzzy models: a case study , 2004, Inf. Sci..

[21]  Tor Arne Johansen,et al.  Integrated Multimodel Control of Nonlinear Systems Based on Gap Metric and Stability Margin , 2014 .

[22]  Naresh N. Nandola,et al.  A multiple model approach for predictive control of nonlinear hybrid systems , 2008 .

[23]  C. Georgakis,et al.  Model predictive control of nonlinear systems using piecewise linear models , 2000 .

[24]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..

[25]  T. Johansen,et al.  A gap metric based weighting method for multimodel predictive control of MIMO nonlinear systems , 2014 .

[26]  Peter-Jules van Overloop,et al.  Multiple Model Predictive Control on a drainage canal system , 2008 .

[27]  Darci Odloak,et al.  LMI-Based Multi-model Predictive Control of an Industrial C3/C4 Splitter , 2003, Journal of Control, Automation and Electrical Systems.

[28]  Mayuresh V. Kothare,et al.  Stability analysis of a multi-model predictive control algorithm with application to control of chemical reactors , 2006 .

[29]  B. Wayne Bequette,et al.  Multiple Model Predictive Control Strategy for Disturbance Rejection , 2010 .