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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 104702, 6 pages
Research Article

Model Predictive Control Based on Kalman Filter for Constrained Hammerstein-Wiener Systems

1Institute of Advanced Control Technology, Dalian University of Technology, Dalian 116024, China
2Dalian Institute of Science and Technology, Dalian 116052, China

Received 6 August 2013; Accepted 22 September 2013

Academic Editor: William Guo

Copyright © 2013 Man Hong and Shao Cheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


To precisely track the reactor temperature in the entire working condition, the constrained Hammerstein-Wiener model describing nonlinear chemical processes such as in the continuous stirred tank reactor (CSTR) is proposed. A predictive control algorithm based on the Kalman filter for constrained Hammerstein-Wiener systems is designed. An output feedback control law regarding the linear subsystem is derived by state observation. The size of reaction heat produced and its influence on the output are evaluated by the Kalman filter. The observation and evaluation results are calculated by the multistep predictive approach. Actual control variables are computed while considering the constraints of the optimal control problem in a finite horizon through the receding horizon. The simulation example of the CSTR tester shows the effectiveness and feasibility of the proposed algorithm.