Active disturbance rejection control on gas flow equipment by multivariable decoupling algorithm

doi:10.11949/j.issn.0438-1157.20170426

Abstract

Abstract:

mathematical model was established for pressure-flow coupling system in gas flow equipment by mechanism modeling and step-response methods.The performance stability and control rapidity in gas flowmeter testing were improved by a decoupling control,active disturbance rejection control (ADRC).For the multivariable system of gas flow equipment,a decentralized ADRC integrated coupling effects,internal uncertainties,and external disturbance into a total disturbance,which was estimated by reduced-order extended state observer (RESO) and cancelled out by control law.The original coupling system was then decoupled into two subsystems of single-input and single-output and controlled by proportional differential controllers.Stability and stability margin of the ADRC controlled system were analyzed by frequency domain method.ADRC achieved system decoupling,reduced algorithm dependency on mathematical model,and improved system robustness.Simulation and experiment results show that ADRC algorithm has shorter settling time,better decoupling effect,greater disturbance rejecting capability,and more robust performance than PID controller.

Key words: gas flow equipment, process systems, model, decoupling algorithm, active disturbance rejection control, computer simulation

摘要：

针对气体流量装置实验管路流量、压力耦合系统，通过机理法和阶跃响应法建立了其数学模型，并利用自抗扰解耦控制算法实现其解耦控制，以保证气体流量计性能测试过程的稳定性和控制快速性。对于气体流量装置多变量系统，自抗扰控制算法将耦合以及所有的内部不确定性和外部扰动都归结到总扰动中，通过扩张状态观测器和控制律对总扰动进行估计和补偿，使原系统被解耦成两个单输入单输出的子系统并利用PD控制器完成控制。自抗扰控制算法使系统在实现解耦的同时既减弱算法对于模型的依赖，又提高了系统的鲁棒性。仿真和实验结果表明，与PID控制算法相比，自抗扰控制算法调节时间更快，解耦效果更好，对扰动的抑制效果更优，性能鲁棒性更强。

关键词: 气体流量装置, 过程系统, 模型, 解耦算法, 自抗扰控制, 计算机模拟

CLC Number:

TP273

ZHAO Yue, SUN Lijun, WU Xia, CHEN Zengqiang, TANG Bing. Active disturbance rejection control on gas flow equipment by multivariable decoupling algorithm[J]. CIESC Journal, 2017, 68(9): 3482-3493.

赵越, 孙立军, 吴瑕, 陈增强, 唐冰. 多变量解耦自抗扰控制在气体流量装置中的应用[J]. 化工学报, 2017, 68(9): 3482-3493.

References 31

[1]	华贲, 王小伍. 低碳时代中国有机化工走势的探讨[J]. 化工学报, 2010, 61(9):2169-2176. HUA B, WANG X W. Trend of China's organic chemical industry in low carbon era[J]. CIESC Journal, 2010, 61(9):2169-2176.
[2]	丁建林, 国明昌, 邱惠, 等. 高压天然气流量标准装置[J]. 计量学报, 2008, 29(5):479-483. DING J L, GUO M C, QIU H, et al. High pressure natural gas flowmeter calibration facilities[J]. Acta Metrologica Sinica, 2008, 29(5):479-483.
[3]	齐利晓, 孙立军, 张涛, 等. 标准表法气体流量标准装置的研制[J]. 化工自动化及仪表, 2010, 37(2):34-38. QI L X, SUN L J, ZHANG T, et al. Research of gas flow standard facilities by master meter method[J]. Control and Instruments in Chemical Industry, 2010, 37(2):34-38.
[4]	苏彦勋, 梁国伟, 盛健. 流量计量与测试[M]. 2版. 北京:中国计量出版社, 2007:235-241. SU Y X, LIANG G W, SHENG J. Flow Metrology and Measurement[M]. 2nd ed. Beijing:China Metrology Publishing House, 2007:235-241.
[5]	马平, 杨金芳, 崔长春, 等. 解耦控制的现状及发展[J]. 控制工程, 2005, 12(2):97-100. MA P, YANC J F, CUI C C, et al. Current situation and development of decoupling control[J]. Control Engineering of China, 2005, 12(2):97-100.
[6]	WANG F, SUN X H, ZOU Z J, et al. Applied of RBF neural network in pressure and flow control system[J]. Applied Mechanics & Materials, 2015, 713/714/715:909-914.
[7]	刘汉忠, 官元红. 模糊PID自适应算法在流量压力控制系统中的应用[J]. 化工自动化及仪表, 2011, 5(38):567-569. LIU H Z, GUAN Y H. Application of fuzzy PID adaptive algorithm in flow-pressure control system[J]. Control and Instruments in Chemical Industry, 2011, 5(38):567-569.
[8]	韩京清. 一类不确定对象的扩张状态观测器[J]. 控制与决策, 1995, 10(1):85-88. HAN J Q. A class of extended state observers for uncertain systems[J]. Control and Decision, 1995, 10(1):85-88.
[9]	HAN J Q. From PID to active disturbance rejection control[J]. IEEE Trans. Ind. Electron., 2009, 56(4):900-906.
[10]	韩京清. 自抗扰控制器及其应用[J]. 控制与决策, 1998, 13(1):19-23. HAN J Q. Active disturbance rejection controller and its applications[J]. Control and Decision, 1998, 13(1):19-23.
[11]	韩京清. 自抗扰控制技术-估计补偿不确定因素的控制技术[M]. 北京, 国防工业出版社, 2008:183-287. HAN J Q. Active Disturbance Rejection Control Technique:the Technique for Estimating and Compensating the Uncertainties[M]. Beijing:National Defense Industry Press, 2008:183-287.
[12]	GAO Z Q. Active disturbance rejection control:from an enduring idea to an emerging technology[C]//Proceedings of the 10th International Workshop on Robot Motion and Control. Poznan, Poland:IEEE, 2015:269-282.
[13]	GAO Z Q. Scaling and bandwidth parameterization based controller tuning[C]//Proceedings of the American Control Conference, New York, USA, 2003:4989-4996.
[14]	HUANG Y, XUE W C. Active disturbance rejection control:methodology and theoretical analysis[J]. Isa Transactions, 2014, 53(4):963-976.
[15]	ZHAO L, YANG Y F, XIA Y Q, et al. Active disturbance rejection position control for a magnetic rodless pneumatic cylinder[J]. IEEE Trans. Ind. Electron., 2015, 62(9):5838-5846.
[16]	ZHENG Q, DONG L L, LEE D H, et al. Active disturbance rejection control for MEMS gyroscopes[J]. IEEE Trans. Control. Syst. Technol., 2009, 17(6):1432-1438.
[17]	SUN M W, CHEN Z Q, YUAN Z. A practical solution to some problems in flight control[C]//Proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, 2009:1482-1487.
[18]	SUN M W, WANG Z H, WANG Y K, et al. On low-velocity compensation of brushless DC servo in the absence of friction model[J]. IEEE Trans. Ind. Electron., 2013, 60(9):3897-3890.
[19]	曾智刚. 自抗扰pH控制及其在化工过程控制中的应用[J]. 电子科技, 2009, 22(6):23-25. ZENG Z G. The application of auto-disturbance-rejection pH control in chemical process control[J]. Electronic Science and Technology, 2009, 22(6):23-25.
[20]	刘涛, 张卫东, 顾诞英, 等. 化工多变量时滞过程的频域解耦控制设计的研究进展[J]. 自动化学报, 2006, 32(1):73-83. LIU T, ZHANG W D, GU D Y, et al. Research progress of frequency domain decoupling control design for chemical and industry multivariable process with time delays[J]. Acta Automatica Sinica, 2006, 32(1):73-83.
[21]	ZHENG Q, GAO L Q, GAO Z Q. A dynamic decoupling control approach and its applications to chemical processes[C]//Proceedings of the American Control Conference, New York, USA, 2007:5176-5181.
[22]	ZHENG Q, CHEN Z Z, GAO Z Q. A practical approach to disturbance decoupling control[J]. Control Engineering Practice, 2009, 17(9):1016-1025.
[23]	XUE W C, HUANG Y. The active disturbance rejection control for a class of MIMO block lower-triangular system[C]//Proceedings of the 30th Chinese Control Conference. Yantai, 2011:434-441.
[24]	苏思贤, 杨慧中. 一类多变量系统的自抗扰非线性动态解耦控制[J]. 化工学报, 2010, 61(8):1949-1954. SU S X, YANG H Z. Active disturbance rejection dynamic nonlinear decoupling control for a class of multivariable systems[J]. CIESC Journal, 2010, 61(8):1949-1954.
[25]	龚飞鹰, 刘传君, 何衍庆. 控制阀实用手册[M]. 北京:化学工业出版社, 2015:403-421. GONG F Y, LIU C J, HE Y Q. Practical Guide of Control Valve[M]. Beijing:Chemical Industry Press, 2015:403-421.
[26]	倪博溢, 萧德云. MATLAB环境下的系统辨识仿真工具箱[J]. 系统仿真学报, 2006, 18(6):1493-1496. NI B Y, XIAO D Y. System identification and simulation toolbox under MATLAB environment[J]. Journal of System Simulation, 2006, 18(6):1493-1496.
[27]	张园, 孙明玮, 陈增强. 强制循环蒸发系统线性自抗扰解耦控制的鲁棒设计[J]. 化工学报, 2015, 66(S2):263-270. ZHANG Y, SUN M W, CHEN Z Q. Robust design of linear active disturbance rejection decoupling control for forced-circulation evaporation system[J]. CIESC Journal, 2015, 66(S2):263-270.
[28]	董君依, 李东海, 张玉琼. TITO系统的自抗扰控制[C]//中国控制会议论文集. 西安, 2007:5455-5460. DONG J Y, LI D H, ZHANG Y Q. Active disturbance rejection control for TITO systems[C]//Proceedings of China Control Conference. Xi'an, 2007:5455-5460.
[29]	李信栋, 苟兴宇. 多输入多输出线性定常系统稳定裕度的分析与改进[J]. 控制理论与应用, 2016, 31(1):106-111. LI X D, GOU X Y. Analysis and improvement of stability margin for multi-input multi-output linear time-invariant systems[J]. Control Theory & Applications, 2016, 31(1):106-111.
[30]	匡群, 黄一敏. 基于蒙特卡罗方法的控制律鲁棒性验证[J]. 系统仿真学报, 2008, 20(S2):351-354. KUANG Q, HUANG Y M. The robustness verification of control law based on Monte Carlo method[J]. Journal of System Simulation, 2008, 20(S2):351-354.
[31]	王真, 高凤岐, 高敏, 等. 导引头稳定平台的新型自抗扰控制器设计研究[J]. 电光与控制, 2016, 23(9):84-89. WANG Z, GAO F Q, GAO M, et al. On design of auto-disturbance rejection controller for seeker stabilized platform[J]. Electronics Optics & Control, 2016, 23(9):84-89.