Lexicographic economic predictive control without terminal constraints for CFBB combustion systems

doi:10.11949/0438-1157.20191513

Abstract

Abstract:

This paper proposes a lexicographic economic model predictive control (MPC) without terminal constraints for multi-objective optimization of circulating fluidized bed boiler (CFBB) combustion systems subject to nonlinearity, constraints, and multivariable coupling. By the idea of lexicographic multi-objective optimization, the hierarchical receding horizon optimization control problem is formulated for the CFBB combustion system, where stabilization of the combustion process is viewed as the most important control objective and combustion economic performance is viewed as the second important control objective. By designing the terminal region condition of the stability objective function, the stabilizing lexicographic economic MPC scheme with no explicit terminal constraints is established for the CFBB combustion system. This not only reduces the online calculation amount of the multi-objective combustion controller, but also realizes the stable control and economic performance optimization of the CFBB combustion system in parallel. Finally, the validity of the proposed method is verified by simulation comparison.

Key words: model predictive control, combustion control, multi-objective control, economics, stability

摘要：

针对循环流化床锅炉(CFBB)燃烧系统非线性、约束、多变量耦合等过程特性和多目标燃烧优化要求，提出一种无终端约束字典序经济模型预测控制策略。基于字典序多目标优化思想，将CFBB稳定燃烧工况作为最重要控制目标，将燃烧系统经济性能作为次重要目标，构建分层滚动时域优化控制问题。设计关于稳定燃烧性能指标的终端域条件，建立无显式终端约束的稳定字典序经济模型预测控制策略。这不仅降低了多目标燃烧控制器的在线计算量，同时并行实现CFBB燃烧系统的稳定控制和经济性能优化。最后通过仿真对比验证本文提出方法的有效性。

关键词: 模型预测控制, 燃烧控制, 多目标控制, 经济, 稳定性

CLC Number:

TP 273.1

Defeng HE, Yongda ZHANG, Lianming LI, Xiang QIU. Lexicographic economic predictive control without terminal constraints for CFBB combustion systems[J]. CIESC Journal, 2020, 71(3): 1210-1216.

何德峰, 张永达, 李廉明, 仇翔. 循环流化床燃烧系统无终端约束字典序经济预测控制[J]. 化工学报, 2020, 71(3): 1210-1216.

Figures/Tables 4

References 30

1	李诗媛,吕清刚,矫维红,等.生物质成型燃料循环流化床燃烧试验研究[J].燃烧科学与技术,2009,15(1):54-58.
	Li S Y,Lyu Q G,Jiao W H,et al.Experimental study on biomass molded fuel circulating fluidized bed combustion[J].Combustion Science and Technology,2009,15(1):54-58.
2	李官鹏,程世庆,韩奎华.循环流化床锅炉的发展和特点[J].电站系统工程,2004,20(2):23-24.
	Li G P,Cheng S Q,Han K H.Development and characteristics of circulating fluidized bed boilers[J].Power Station System Engineering,2004,20(2):23-24.
3	牛培峰,丁希生,张君.火电厂循环流化床锅炉控制技术的研究进展与发展趋势[J].仪器仪表学报,2007,28(12):2295-2304.
	Niu P F,Ding X S,Zhang J.Research progress and development trend of circulating fluidized bed boiler control technology in thermal power plant[J].Journal of Instrumentation,2007,28(12):2295-2304.
4	骆仲泱,何宏舟,王勤辉,等.循环流化床锅炉技术的现状与发展前景[J].动力工程学报,2004,24(6):761-767.
	Luo Z Y,He H Z,Wang Q H,et al.Status and development prospects of circulating fluidized bed boiler technology[J].Chinese Journal of Power Engineering,2004,24(6):761-767.
5	Ren L.Development potentials and research needs in circulating fluidized bed combustion [J].China Particuology,2003,1(5):185-200.
6	Astrom K J,Kumar P R.Control: a perspective[J].Automatica,2014,50:3-43.
7	Hu Y,Chen H,Wang P,et al.Nonlinear model predictive controller design based on learning model for turbocharged gasoline engine of passenger vehicle[J].Mechanical Systems and Signal Processing,2018,109:74-88.
8	陈鑫,黄冰,吴敏,等.基于优先级的烧结过程协调优化控制系统[J].化工学报,2016,67(3):885-890.
	Chen X,Huang B,Wu M,et al.Coordinated optimal control based on priority for sintering process[J].CIESC Journal,2016,67(3):885-890.
9	李勇刚,杨根,阳春华.基于参数自整定模糊控制器的沉铁过程pH值稳定控制[J].化工学报,2013,64(12):4557-4562.
	Li Y G,Yang G,Yang C H.pH control in iron precipitation process based on parameter self-tuning fuzzy controller[J].CIESC Journal,2013,64(12):4557-4562.
10	何德峰,丁宝苍,于树友.非线性系统模型预测控制若干基本特点与主题回顾[J].控制理论与应用,2013,30(3):273-287.
	He D F,Ding B C,Yu S Y.Review of fundamental properties and topics of model predictive control for nonlinear systems[J].Control Theory & Applications,2013,30(3):273-287.
11	He D,Yu S,Yu L.Multi-objective nonlinear model predictive control through switching cost functions and its applications to chemical processes[J].Chinese Journal of Chemical Engineering,2015,23:1662-1669.
12	Klatt K U,Marquardt W.Perspectives for process systems engineering—personal views from academia and industry[J].Computers and Chemical Engineering,2009,33:536-550.
13	牛培峰,李梦宁,孙丽朋,等.针对多变量耦合时滞系统的无模型控制改进算法[J].化工学报,2016,67(6):2488-2494.
	Niu P F,Li M N,Sun L P,et al.Improved model-free control algorithm for multivariable coupled time-delay systems[J].CIESC Journal,2016,67(6):2488-2494.
14	李梦宁.循环流化床锅炉燃烧过程无模型控制研究[D].秦皇岛:燕山大学,2016.
	Li M N.Research on model-free control of circulating fluidized bed boiler combustion process[D].Qinhuangdao:Yanshan University,2016.
15	窦瑾.循环流化床锅炉床温控制系统研究[J].仪器仪表用户,2016,23(12):13-15.
	Dou J.Research on circulating fluidized bed boiler bed temperature control system[J].Instrumentation Users,2016,23(12):13-15.
16	Reh L,Ye H.Neural networks for on-line prediction and optimization of circulating fluidized bed process steps [J].Powder Technology,2000,111(1/2):123-131.
17	王万召,赵兴涛,谭文.流化床燃烧系统模糊-神经元PID解耦补偿控制[J].中国电机工程学报,2008,28(8):94-98.
	Wang W Z,Zhao X T,Tan W.Fuzzy-neuron PID decoupling compensation control of fluidized bed combustion system[J].Proceedings of The Chinese Society for Electrical Engineering,2008,28(8):94-98.
18	童一飞,金晓明.基于广义预测控制的循环流化床锅炉燃烧过程多目标优化控制策略[J].中国电机工程学报,2010,30(11):38-43.
	Tong Y F,Jin X M.Multi-objective optimal control strategy for combustion process of circulating fluidized bed boiler based on generalized predictive control[J].Proceedings of The Chinese Society for Electrical Engineering,2010,30(11):38-43.
19	谢磊,毛国明,金晓明,等.循环流化床锅炉燃烧过程预测控制与经济性能优化[J].化工学报,2016,67(3):695-700.
	Xie L,Mao G M,Jin X M,et al.Combustion process prediction control and economic performance optimization of circulating fluidized bed boiler[J].CIESC Journal,2016,67(3):695-700.
20	张倩,郑涛.基于字典序顺序式多目标遗传算法的预测控制[J].模式识别与人工智能,2008,21(6):831-835.
	Zhang Q,Zheng T.Predictive control based on lexicographic multi-objective genetic algorithm[J].Pattern Recognition and Artificial Intelligence,2008,21(6):831-835.
21	He D,Yu S,Ou L.Lexicographic MPC with multiple economic criteria for constrained nonlinear systems[J].Journal of the Franklin Institute,2018,355:753-773.
22	Ikonen E,Najim K.Advanced Process Identification and Control [M].New York:Marcel Dekker,2002:285-287.
23	Zhang T J,Feng G,Lu J,et al.Robust constrained fuzzy affine model predictive control with application to a fluidized bed combustion plant [J].IEEE Transactions on Control Systems Technology,2008,16(5):1047-1056.
24	Limon D,Alamo T,Salas F,et al.On the stability of constrained MPC without terminal constraint [J].IEEE Transactions on Automatic Control,2006,51(5):832-836.
25	Mayne D Q,Rawlings J B,Rao C V,et al.Constrained model predictive control: stability and optimality [J].Automatica,2000,36:789-814.
26	He D.Dual-mode nonlinear MPCvia terminal control laws with free-parameters[J].IEEE/CAA Journal of Automatica Sinica,2017,4(3):526-533.
27	Yu S,Chen H,Li X.Enlarging the terminal region of quasi-infinite horizon NMPC based on T-S fuzzy model[J].International Journal of Control,Automation and Systems,2009,7(3):481-486.
28	He D F,Wang L,Sun J.On stability of multiobjective NMPC with objective prioritization [J].Automatica,2015,57:189-198.
29	杨亚茹,李少远.切换非线性系统全局优化运行的经济预测控制[J].自动化学报,2017,43(6):1017-1027.
	Yang Y R,Li S Y.Economic model predictive control for global optimal operation of nonlinear switching systems[J].Acta Automatica Sinica,2017,43(6):1017-1027
30	Alessandretti A,Aguiar A P,Jones C N.An input-to-state-stability approach to economic optimization in model predictive control[J].IEEE Transactions on Automatic Control,2017,62(12):6081-6093.

控制策略	总煤耗/kg	均煤耗/(kg/s)
WMPC(A)	206.072	1.717
WMPC(B)	207.464	1.729
WMPC(C)	208.391	1.737
LMPC	208.150	1.735

控制策略	总煤耗/kg	均煤耗/(kg/s)
WMPC(A)	206.072	1.717
WMPC(B)	207.464	1.729
WMPC(C)	208.391	1.737
LMPC	208.150	1.735

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