Design and Analysis of Integrated Predictive Iterative Learning Control for Batch Process Based on Two-dimensional System Theory

Abstract Based on the two-dimensional (2D) system theory, an integrated predictive iterative learning control (2D-IPILC) strategy for batch processes is presented. First, the output response and the error transition model predictions along the batch index can be calculated analytically due to the 2D Roesser model of the batch process. Then, an integrated framework of combining iterative learning control (ILC) and model predictive control (MPC) is formed reasonably. The output of feedforward ILC is estimated on the basis of the predefined process 2D model. By minimizing a quadratic objective function, the feedback MPC is introduced to obtain better control performance for tracking problem of batch processes. Simulations on a typical batch reactor demonstrate that the satisfactory tracking performance as well as faster convergence speed can be achieved than traditional proportion type (P-type) ILC despite the model error and disturbances.

[1]  Jay H. Lee,et al.  ITERATIVE LEARNING CONTROL APPLIED TO BATCH PROCESSES: AN OVERVIEW , 2006 .

[2]  Zhihua Xiong,et al.  Optimal Iterative Learning Control for Batch Processes Based on Linear Time-varying Perturbation Model , 2008 .

[3]  Jeffery S. Logsdon,et al.  Accurate solution of differential-algebraic optimization problems , 1989 .

[4]  Furong Gao,et al.  Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system , 2005 .

[5]  J. Kurek,et al.  Iterative learning control synthesis based on 2-D system theory , 1993, IEEE Trans. Autom. Control..

[6]  Jay H. Lee,et al.  Iterative learning control-based batch process control technique for integrated control of end product properties and transient profiles of process variables , 2003 .

[7]  Francis J. Doyle,et al.  Survey on iterative learning control, repetitive control, and run-to-run control , 2009 .

[8]  Jay H. Lee,et al.  A Technique for Integrated Quality Control, Profile Control, and Constraint Handling for Batch Processes , 2000 .

[9]  T. Kaczorek Two-Dimensional Linear Systems , 1985 .

[10]  Yuan Yao,et al.  Two-time dimensional dynamic matrix control for batch processes with convergence analysis against the 2D interval uncertainty , 2012 .

[11]  Ying Tan,et al.  Robust optimal design and convergence properties analysis of iterative learning control approaches , 2002, Autom..

[12]  Furong Gao,et al.  Single-cycle and multi-cycle generalized 2D model predictive iterative learning control (2D-GPILC) schemes for batch processes , 2007 .

[13]  Jie Zhang,et al.  Tracking Control for Batch Processes through Integrating Batch-to-Batch Iterative Learning Control and within-Batch On-Line Control , 2005 .

[14]  Suguru Arimoto,et al.  Bettering operation of Robots by learning , 1984, J. Field Robotics.

[15]  E. Rogers,et al.  Predictive optimal iterative learning control , 1998 .

[16]  Tie-Jun Wu,et al.  Integrated Design and Structure Analysis of Robust Iterative Learning Control System Based on a Two-Dimensional Model , 2005 .

[17]  Jay H. Lee,et al.  Integrated run-to-run and on-line model-based control of particle size distribution for a semi-batch precipitation reactor , 2002 .

[18]  R. Roesser A discrete state-space model for linear image processing , 1975 .

[19]  Won-Cheol Kim,et al.  Model-based iterative learning control with quadratic criterion for linear batch processes , 1996 .