Real-Time Optimization Based on Chance-Constrained Programming for Plant-Wide Processes

Abstract

Abstract: A dynamic real-time optimization (RTO) scheme based on chanceconstrained programming (CCP) was presented for a class of plant-wide processes. Chance-constrained programming is employed in the optimization problem, in which the constraints containing economic and model uncertainties are guaranteed to be satisfied at a high level of probability. The real-time optimizer based on product quality model determines the optimal setpoint for each sub-process by solving joint probability constrained problem. Simulation studies for furnace temperature setpoints optimization problem of the walking beam reheating furnace were illustrated to verify the effectiveness and practicality of the proposed method.

Key words: real-time optimization (RTO), plant-wide processes, chance-constrained programming (CCP), walking beam reheating furnace

CLC Number:

TP273

ZHANG Yan-1, DING Mao-Sen-1, MAO Hong-Yan-2. Real-Time Optimization Based on Chance-Constrained Programming for Plant-Wide Processes[J]. Journal of Shanghai Jiaotong University, 2011, 45(07): 975-979.

References

［1］Zheng Y, Li S Y, Wang X B. Distributed model predictive control for plantwide hotrolled strip laminar cooling process［J］. Journal of Process Control, 2009, 19(9): 14271437.

［2］Srinivasan B. Realtime optimization of dynamic systems using multiple units［J］. International Journal of Robust and Nonlinear Control, 2007, 17(13): 11831193.［3］Tosukhowong T, Lee J M, Lee J H, et al. An introduction to a dynamic plantwide optimization strategy for an integrated plant［J］. Computers and Chemical Engineering, 2004, 29(1): 199208.

［4］Shapiro A, Dentcheva D, Ruszczynski A. Lectures on stochastic programming: Modeling and theory［M］. Philadelphia, PA, USA: SIAM, 2009.

［5］Zhang Y, Monder D, Fraser F J. Realtime optimization under parametric uncertainty: A probability constrained approach［J］. Journal of Process Control, 2002, 12(3): 373389.

［6］ArellanoGarcia H, Wendt M, Barz T, et al. Closeloop stochastic dynamic optimization under probabilistic outputconstraints［J］. Lecture Notes in Control and Information Sciences, 2007, 358: 305315.

［7］Li S Y, Zhang Y, Zhu Q M. Nashoptimization enhanced distributed model predictive control applied to the Shell benchmark problem［J］. Information Sciences, 2005, 170(24): 329349.

［8］Zhang Y, Nadler D, Forbes F J. Results analysis for trust constrained realtime optimization［J］. Journal of Process Control, 2001, 11(3): 329341.

［9］Wang Z J, Wu Q D, Chai T Y. Optimalsetting control for complicated industrial processes and its application study［J］. Control Engineering Practice, 2004, 12(1): 6574.

［10］Bai M Q, Gao F Q. Analysis of the dynamic characteristic of furnace temperature［J］. Metallurgical Automation, 1994, 18(4): 810.

[1]	WU Zhi-Wei, WU Yong-Jian, CHAI Tian-You. Intelligent Control of Fused Magnesium Furnaces Based on SPSA [J]. Journal of Shanghai Jiaotong University, 2011, 45(08): 1095-1100.
[2]	ZHANG Zhi, HU Li-Sheng. Estimation of Performance Benchmark for a Class of Nonlinear Control Systems [J]. Journal of Shanghai Jiaotong University, 2011, 45(08): 1101-1104.
[3]	HAN Xiao-Dong-1, BAO Cui-Mei-2, ZHANG Deng-Feng-3. Robust Control Based on LMI for Satellite Attitude Control Systems [J]. Journal of Shanghai Jiaotong University, 2011, 45(08): 1146-1150.
[4]	CHU Ji-Zheng, DU Bin, CHEN Juan. Performance Analysis and Online Fuzzy Self-Tuning of RTD-A Controller’s Parameters [J]. Journal of Shanghai Jiaotong University, 2011, 45(08): 1167-1171.
[5]	DENG Wei-Wei-1, YANG Hui-Zhong-1, 2 . A Multi-model Modeling Method Based on Supervised Affinity Propagation Clustering Algorithm [J]. Journal of Shanghai Jiaotong University, 2011, 45(08): 1172-1175.
[6]	DONG Xue-Ping, SU Yu-Tian. Satisfactory Control for a Class of Uncertain Switched Linear Systems [J]. Journal of Shanghai Jiaotong University, 2011, 45(08): 1196-1201.
[7]	XIE Qiang-De-a, YANG Ming-a, WANG Bing-a, WANG Chun-Xiang-b. Quick Startup Control of a Platoon of Vehicles Based on Optimal Theory [J]. Journal of Shanghai Jiaotong University, 2011, 45(07): 949-953.
[8]	LIU Xiao-Dong, WU Yun-Jie, TIAN Da-Peng, WANG Jun-Feng. Research of Sliding Mode Controller for Flight Simulator Based on Disturbance Observer [J]. Journal of Shanghai Jiaotong University, 2011, 45(03): 393-397.