Application of interval type-2 fuzzy immune PID controller to temperature control system for uncatalysed oxidation of cyclohexane

doi:10.11949/0438-1157.20211842

Abstract

Abstract:

The non-catalytic oxidation of cyclohexane has the characteristics of nonlinearity, multi-variable coupling, large time delay, etc., and the ideal control performance cannot be achieved by using the conventional PID control scheme. In this paper, an interval type-2 fuzzy immune PID controller is proposed, which is essentially a nonlinear controller based on immune PID. The interval type-2 fuzzy logic system (IT2FLS) is used to approximate the nonlinear function in the immune feedback law, so as to improve the ability of the controller to deal with and approach complex uncertain nonlinear systems. Finally, the proposed controller is applied to temperature control system for uncatalysed oxidation of cyclohexane, and the simulation results show that the method is effective.

Key words: immune feedback, interval type-2 fuzzy logic system, PID algorithm, process control, optimal design, uncatalysed oxidation of cyclohexane

摘要：

环己烷无催化氧化过程具有非线性、多变量耦合、大时滞等特点，使用常规比例积分微分(PID)控制方案无法达到理想的控制性能。提出了一种区间二型模糊免疫PID控制器，其本质上是一种基于免疫PID的非线性控制器，利用区间二型模糊逻辑系统来逼近免疫反馈律中的非线性函数，以提升控制器处理和逼近复杂不确定非线性系统的能力。将所提出的控制器应用于环己烷无催化氧化温度控制系统，仿真结果表明该方法是有效的。

关键词: 免疫反馈, 区间二型模糊逻辑系统, PID算法, 过程控制, 优化设计, 环己烷无催化氧化

CLC Number:

TP 173

Taoyan ZHAO, Jiangtao CAO, Ping LI, Lin FENG, Yu SHANG. Application of interval type-2 fuzzy immune PID controller to temperature control system for uncatalysed oxidation of cyclohexane[J]. CIESC Journal, 2022, 73(7): 3166-3173.

赵涛岩, 曹江涛, 李平, 冯琳, 商瑀. 区间二型模糊免疫PID在环己烷无催化氧化温度控制系统中的应用[J]. 化工学报, 2022, 73(7): 3166-3173.

Figures/Tables 10

Fig.1 Flow chart of uncatalysed oxidation of cyclohexane

Fig.2 Block diagram of IT2FIPID control system

Fig.3 The block diagram of IT2FLS

Fig.4 Membership function of control variable

Fig.5 Membership function of control variable change

Fig.6 Membership function of nonlinear function

Fig.7 Simulation results of temperature control system

Fig.8 Curves of control error

Fig.9 The self-tuning result of Kp

Table 1 Performance index values of three controllers

控制器	模糊规则数	超调量 $σ$ /%	IAE值	ISE值
PID	-	37.45	1.9953×10⁴	4.4336×10⁶
IT2FPID	49	12.30	8.2471×10³	2.3575×10⁶
IT2FIPID	4	0	3.7477×10⁴	1.1214×10⁷

Table 1 Performance index values of three controllers

控制器	模糊规则数	超调量 $σ$ /%	IAE值	ISE值
PID	-	37.45	1.9953×10⁴	4.4336×10⁶
IT2FPID	49	12.30	8.2471×10³	2.3575×10⁶
IT2FIPID	4	0	3.7477×10⁴	1.1214×10⁷

References 31

1	Wen Y, Potter O E, Sridhar T. Uncatalysed oxidation of cyclohexane in a continuous reactor[J]. Chemical Engineering Science, 1997, 52(24): 4593-4605.
2	李秀喜, 曹丽琦, 王兴. 环己烷氧化生产环己酮过程建模与参数分析[J]. 清华大学学报(自然科学版), 2018, 58(5): 523-528.
	Li X X, Cao L Q, Wang X. Process modeling and analysis of the parameters for oxidation of cyclohexane into cyclohexanone[J]. Journal of Tsinghua University(Science and Technology), 2018, 58(5): 523-528.
3	郑婷. 基于CFD的环己烷无催化氧化反应过程工况分析[D]. 广州: 华南理工大学, 2020.
	Zheng T. Analysis of operating conditions of cyclohexane non-catalytic oxidation process by CFD[D]. Guangzhou: South China University of Technology, 2020.
4	曹丽琦. 环己烷无催化氧化反应过程流体动力学模拟与工况分析[D]. 广州: 华南理工大学, 2018.
	Cao L Q. Modeling hydrodynamics of uncatalysed oxidation of cyclohexane and analysis of operating conditions[D]. Guanzhou: South China University of Technology, 2018.
5	Dereli T, Baykasoglu A, Altun K, et al. Industrial applications of type-2 fuzzy sets and systems: a concise review[J]. Computers in Industry, 2011, 62(2): 125-137.
6	Castillo O, Melin P. A review on interval type-2 fuzzy logic applications in intelligent control[J]. Information Sciences, 2014, 279: 615-631.
7	韩红桂, 刘峥, 乔俊飞. 基于区间二型模糊神经网络污水处理过程溶解氧浓度控制[J]. 化工学报, 2018, 69(3): 1182-1190.
	Han H G, Liu Z, Qiao J F. Control dissolved oxygen in wastewater treatment by interval type-2 fuzzy neural networks[J]. CIESC Journal, 2018, 69(3): 1182-1190.
8	Zhang H K, Wang Y F, Wang D H, et al. Adaptive robust control of oxygen excess ratio for PEMFC system based on type-2 fuzzy logic system[J]. Information Sciences, 2020, 511: 1-17.
9	Moreno J E, Sanchez M A, Mendoza O, et al. Design of an interval Type-2 fuzzy model with justifiable uncertainty[J]. Information Sciences, 2020, 513: 206-221.
10	王飞跃, 莫红. 关于二型模糊集合的一些基本问题[J]. 自动化学报, 2017, 43(7): 1114-1141.
	Wang F Y, Mo H. Some fundamental issues on type-2 fuzzy sets[J]. Acta Automatica Sinica, 2017, 43(7): 1114-1141.
11	Liu X L, Lin Y C, Wan S P. New efficient algorithms for the centroid of an interval type-2 fuzzy set[J]. Information Sciences, 2021, 570: 468-486.
12	Zhao T Y, Li P, Cao J T. Study of interval type-2 fuzzy controller for the twin-tank water level system[J]. Chinese Journal of Chemical Engineering, 2012, 20(6): 1102-1106.
13	Galluzzo M, Cosenza B. Control of the biodegradation of mixed wastes in a continuous bioreactor by a type-2 fuzzy logic controller[J]. Computers & Chemical Engineering, 2009, 33(9): 1475-1483.
14	王永富, 马冰心, 柴天佑, 等. PEMFC空气供给系统的二型自适应模糊建模与过氧比控制[J]. 自动化学报, 2019, 45(5): 853-865.
	Wang Y F, Ma B X, Chai T Y, et al. Type-2 adaptive fuzzy modeling and oxygen excess ratio control for PEMFC air supply system[J]. Acta Automatica Sinica, 2019, 45(5): 853-865.
15	Kumbasar T, Eksin I, Guzelkaya M, et al. Type-2 fuzzy model based controller design for neutralization processes[J]. ISA Transactions, 2012, 51(2): 277-287.
16	Miccio M, Cosenza B. Control of a distillation column by type-2 and type-1 fuzzy logic PID controllers[J]. Journal of Process Control, 2014, 24(5): 475-484.
17	Han H G, Yang F F, Yang H Y, et al. Type-2 fuzzy broad learning controller for wastewater treatment process[J]. Neurocomputing, 2021, 459: 188-200.
18	何青, 孟岳. 基于二型模糊变积分PID控制的BLDCM控制研究[J]. 控制工程, 2021, 28(8): 1691-1699.
	He Q, Meng Y. Research on BLDCM control based on type-2 fuzzy variable integration PID control[J]. Control Engineering of China, 2021, 28(8): 1691-1699.
19	李天, 曹江涛, 李平. 基于IT2FIM的乙烯裂解炉温度控制方法研究[J]. 计算机与应用化学, 2015, 32(6): 683-687.
	Li T, Cao J T, Li P. Research of ethylene cracking furnace temperature control method based on IT2FIM[J]. Computers and Applied Chemistry, 2015, 32(6): 683-687.
20	Liao Q F, Sun D, Cai W J, et al. Type-1 and Type-2 effective Takagi-Sugeno fuzzy models for decentralized control of multi-input-multi-output processes[J]. Journal of Process Control, 2017, 52: 26-44.
21	王玉勤, 许雪艳, 蒋全胜. 基于免疫PID算法的吊车-双摆系统控制设计[J]. 控制工程, 2016, 23(6): 895-900.
	Wang Y Q, Xu X Y, Jiang Q S. Control design of crane-double pendulum system based on immune PID algorithm[J]. Control Engineering of China, 2016, 23(6): 895-900.
22	李琦, 尚文斌. 改进免疫PID在双容水箱控制中的优化研究[J]. 计算机仿真, 2013, 30(10): 372-376.
	Li Q, Shang W B. Improved immune PID optimization in dual vessel water tank control[J]. Computer Simulation, 2013, 30(10): 372-376.
23	任重昕, 王伟. 免疫NPID控制器及其在热磨机料位控制系统的应用[J]. 东北林业大学学报, 2012, 40(4): 120-123.
	Ren Z X, Wang W. Immune nonlinear PID controller and its application to material level control of heat milling system[J]. Journal of Northeast Forestry University, 2012, 40(4): 120-123.
24	Peng D G, Zhang H, Huang C H, et al. Immune PID cascade control based on neural network for main steam temperature system[C]//2011 9th World Congress on Intelligent Control and Automation. Taipei, Taiwan, China: IEEE, 2011: 480-484.
25	Wang H T, Jia H M. Study of immune PID controller for wood drying system[C]//2013 International Conference on Communication Systems and Network Technologies. Gwalior, India: IEEE, 2013: 827-831.
26	陆海, 许必熙. 主汽温系统的区间Ⅱ型模糊免疫控制[J]. 锅炉技术, 2013, 44(3): 15-18.
	Lu H, Xu B X. Main steam temperature control based on interval type-2 fuzzy immune control[J]. Boiler Technology, 2013, 44(3): 15-18.
27	Mittal K, Jain A, Vaisla K S, et al. A comprehensive review on type 2 fuzzy logic applications: past, present and future[J]. Engineering Applications of Artificial Intelligence, 2020, 95: 103916.
28	Román-Flores H, Chalco-Cano Y, Figueroa-García J C. A note on defuzzification of type-2 fuzzy intervals[J]. Fuzzy Sets and Systems, 2020, 399: 133-145.
29	伍冬睿, 曾志刚, 莫红, 等. 区间二型模糊集和模糊系统: 综述与展望[J]. 自动化学报, 2020, 46(8): 1539-1556.
	Wu D R, Zeng Z G, Mo H, et al. Interval type-2 fuzzy sets and systems: overview and outlook[J]. Acta Automatica Sinica, 2020, 46(8): 1539-1556.
30	赵涛岩, 李平, 曹江涛. 二型模糊系统降型算法综述[J]. 西南交通大学学报, 2019, 54(2): 436-444.
	Zhao T Y, Li P, Cao J T. Overview of type-reduction algorithms for type-2 fuzzy logic systems[J]. Journal of Southwest Jiaotong University, 2019, 54(2): 436-444.
31	Wu D R, Mendel J M. Enhanced Karnik-Mendel algorithms[J]. IEEE Transactions on Fuzzy Systems, 2009, 17(4): 923-934.

[1]	Zhewen CHEN, Junjie WEI, Yuming ZHANG. System integration and energy conversion mechanism of the power technology with integrated supercritical water gasification of coal and SOFC [J]. CIESC Journal, 2023, 74(9): 3888-3902.
[2]	Yue CAO, Chong YU, Zhi LI, Minglei YANG. Industrial data driven transition state detection with multi-mode switching of a hydrocracking unit [J]. CIESC Journal, 2023, 74(9): 3841-3854.
[3]	Cong QI, Zi DING, Jie YU, Maoqing TANG, Lin LIANG. Study on solar thermoelectric power generation characteristics based on selective absorption nanofilm [J]. CIESC Journal, 2023, 74(9): 3921-3930.
[4]	Fei KANG, Weiguang LYU, Feng JU, Zhi SUN. Research on discharge path and evaluation of spent lithium-ion batteries [J]. CIESC Journal, 2023, 74(9): 3903-3911.
[5]	Zhaolun WEN, Peirui LI, Zhonglin ZHANG, Xiao DU, Qiwang HOU, Yegang LIU, Xiaogang HAO, Guoqing GUAN. Design and optimization of cryogenic air separation process with dividing wall column based on self-heat regeneration [J]. CIESC Journal, 2023, 74(7): 2988-2998.
[6]	Jinbo JIANG, Xin PENG, Wenxuan XU, Rixiu MEN, Chang LIU, Xudong PENG. Study on leakage characteristics and parameter influence of pump-out spiral groove oil-gas seal [J]. CIESC Journal, 2023, 74(6): 2538-2554.
[7]	Shanghao LIU, Shengkun JIA, Yiqing LUO, Xigang YUAN. Optimization of ternary-distillation sequence based on gradient boosting decision tree [J]. CIESC Journal, 2023, 74(5): 2075-2087.
[8]	Bimao ZHOU, Shisen XU, Xiaoxiao WANG, Gang LIU, Xiaoyu LI, Yongqiang REN, Houzhang TAN. Effect of burner bias angle on distribution characteristics of gasifier slag layer [J]. CIESC Journal, 2023, 74(5): 1939-1949.
[9]	Wenxuan XU, Jinbo JIANG, Xin PENG, Rixiu MEN, Chang LIU, Xudong PENG. Comparative study on leakage and film-forming characteristics of oil-gas seal with three-typical groove in a wide speed range [J]. CIESC Journal, 2023, 74(4): 1660-1679.
[10]	Jiyuan LI, Jinwang LI, Liuwei ZHOU. Heat transfer performance of cold plates with different turbulence structures [J]. CIESC Journal, 2023, 74(4): 1474-1488.
[11]	Xiaodan SU, Ganyu ZHU, Huiquan LI, Guangming ZHENG, Ziheng MENG, Fang LI, Yunrui YANG, Benjun XI, Yu CUI. Optimization of wet process phosphoric acid hemihydrate process and crystallization of gypsum [J]. CIESC Journal, 2023, 74(4): 1805-1817.
[12]	Junxian CHEN, Zhongli JI, Yu ZHAO, Qian ZHANG, Yan ZHOU, Meng LIU, Zhen LIU. Study on online detection method of particulate matter in natural gas pipeline based on microwave technology [J]. CIESC Journal, 2023, 74(3): 1042-1053.
[13]	Zhongqiu ZHANG, Hongguang LI, Yilin SHI. A multi-task learning approach for complex chemical processes based on manual predictive manipulating strategies [J]. CIESC Journal, 2023, 74(3): 1195-1204.
[14]	Jianghuai ZHANG, Zhong ZHAO. Robust minimum covariance constrained control for C₃ hydrogenation process and application [J]. CIESC Journal, 2023, 74(3): 1216-1227.
[15]	Weiyi SU, Jiahui DING, Chunli LI, Honghai WANG, Yanjun JIANG. Research progress of enzymatic reactive crystallization [J]. CIESC Journal, 2023, 74(2): 617-629.