Optimizing Control by Robustly Feasible Model Predictive Control and Application to Drinking Water Distribution Systems

The paper consider optimizing Model Predictive Control (MPC) for nonlinear plants with output constraints under uncertainties. Although the MPC technology can handle the constraint in the model by solving constraint model based optimization task, satisfying the plant output constraints still remains a challenge. The paper proposes Robustly Feasible MPC (RFMPC), which achieves feasibility of the outputs in the controlled plant. The RFMPC is applied to control quantity which is illustrated by application to a Drinking Water Distribution Systems (DWDS) example.

[1]  Angus R. Simpson,et al.  Genetic Algorithms for Reliability-Based Optimization of Water Distribution Systems , 2004 .

[2]  Mietek A. Brdys,et al.  ROBUST MODEL PREDICTIVE CONTROL UNDER OUTPUT CONSTRAINTS , 2002 .

[3]  Angus R. Simpson,et al.  Competent Genetic-Evolutionary Optimization of Water Distribution Systems , 2001 .

[4]  Manfred Morari,et al.  Robust Model Predictive Control , 1987, 1987 American Control Conference.

[5]  D. V. Chase,et al.  Advanced Water Distribution Modeling and Management , 2003 .

[6]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[7]  M. A. Brdys,et al.  Operational Control of Water Systems: Structures, Algorithms, and Applications , 1994 .

[8]  Kazimierz Duzinkiewicz,et al.  Hierarchical Control of Integrated Quality and Quantity in Water Distribution Systems , 2000 .

[9]  Avi Ostfeld,et al.  Optimal Layout of Early Warning Detection Stations for Water Distribution Systems Security , 2004 .

[10]  Mietek A. Brdys,et al.  Genetic solver of optimization task of MPC for optimizing control of integrated quantity and quality , 2007 .

[11]  Dragan Savic,et al.  Genetic Algorithms for Least-Cost Design of Water Distribution Networks , 1997 .

[12]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[13]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[14]  K. Deb An Efficient Constraint Handling Method for Genetic Algorithms , 2000 .

[15]  Alberto Bemporad,et al.  Robust model predictive control: A survey , 1998, Robustness in Identification and Control.