Tracking performance comparison for different strategies in output PDF control

Two predictive PDF control algorithms and one new algorithm of iterative learning PDF control have been compared with the standard PDF control of dynamic systems. The two predictive algorithms are developed on the general 2-norm distance and the Kullback-Leibler performance, respectively. A new iterative algorithm is proposed in which the control input in the current batch is updated based on the control input and the PDF tracking errors in the previous batch. Simulation studies demonstrate the improvement in PDF tracking performance when advanced control strategies are introduced to the standard algorithm

[1]  J. F. Forbes,et al.  Control design for first-order processes: shaping the probability density of the process state , 2004 .

[2]  J.F. Zhang,et al.  Periodic learning of B-spline models for output PDF control: application to MWD control , 2005, Proceedings of the 2005, American Control Conference, 2005..

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

[4]  P Han.  Predictive Control and Application iu the Thermal Proccssing Control , 2002 .

[5]  Francis J. Doyle,et al.  Control of particle size distribution described by a population balance model of semibatch emulsion polymerization , 2000 .

[6]  J. Macgregor,et al.  Control of Particle Size Distributions in Emulsion Semibatch Polymerization Using Mid-Course Correction Policies , 2002 .

[7]  Jinfang Zhang,et al.  Shaping of molecular weight distribution using B-spline based predictive probability density function control , 2004, Proceedings of the 2004 American Control Conference.

[8]  Hong Wang,et al.  Bounded Dynamic Stochastic Systems: Modelling and Control , 2000 .

[9]  J.F. MacGregor,et al.  Optimization of molecular weight distribution using batch-to-batch adjustments , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[10]  Francis J. Doyle,et al.  Open-loop control of particle size distribution in semi-batch emulsion copolymerization using a genetic algorithm , 2002 .

[11]  Richard D. Braatz,et al.  Advanced control of crystallization processes , 2002, Annu. Rev. Control..

[12]  H. Wang,et al.  Iterative Learning Control of Output PDF Shaping in Stochastic Systems , 2005, Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation Intelligent Control, 2005..

[13]  Lei Guo,et al.  PID controller design for output PDFs of stochastic systems using linear matrix inequalities , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  Hong Wang,et al.  Bounded Dynamic Stochastic Systems , 2012 .

[15]  José M. Asua,et al.  Control of Molecular Weight Distribution in Emulsion Polymerization Using On-Line Reaction Calorimetry , 2001 .