Robust Non-fragile PID Controller Design for the Stroke Regulation of Metering Pumps

›› 2011, Vol. 19 ›› Issue (1): 83-88.

• PROCESS SYSTEMS ENGINEERING • Previous Articles Next Articles

Robust Non-fragile PID Controller Design for the Stroke Regulation of Metering Pumps

YU Shiming, WU Jiangjiang, ZHANG Duan

College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China

Received:2010-02-08 Revised:2010-08-31 Online:2011-02-28 Published:2011-02-28
Supported by:
Supported by the National Natural Science Foundation of China(60604015);the Key Research Program of Education Department of Zhejiang Province(Z200803521)

Robust Non-fragile PID Controller Design for the Stroke Regulation of Metering Pumps

余世明, 吴江江, 张端

College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China

通讯作者: ZHANG Duan, E-mail: ysm@zjut.edu.cn
基金资助:
Supported by the National Natural Science Foundation of China(60604015);the Key Research Program of Education Department of Zhejiang Province(Z200803521)

Abstract

Abstract: This job focuses on the stroke regulation of a class of high-precision metering pumps.A parametertuning method of robust non-fragile PID(proportional-integral-derivative)controllers is proposed with the assumption that a PID controller has additive gain perturbations.An H-infinite robust PID controller can be obtained by solving a linear matrix inequality.This approach can guarantee that the closed-loop control systems is asymptotically stable and the H-infinite norm of the transfer function from the disturbance to the output of a controlled system is less than a given constant to attenuate disturbances.The simulation case shows that the control performance of the proposed strategy is significantly better than the traditional PID approach in the situation with perturbations of controller parameters.

Key words: metering pump, stroke regulation, H-infinite robust control, PID control, non-fragile

摘要： This job focuses on the stroke regulation of a class of high-precision metering pumps.A parametertuning method of robust non-fragile PID(proportional-integral-derivative)controllers is proposed with the assumption that a PID controller has additive gain perturbations.An H-infinite robust PID controller can be obtained by solving a linear matrix inequality.This approach can guarantee that the closed-loop control systems is asymptotically stable and the H-infinite norm of the transfer function from the disturbance to the output of a controlled system is less than a given constant to attenuate disturbances.The simulation case shows that the control performance of the proposed strategy is significantly better than the traditional PID approach in the situation with perturbations of controller parameters.

关键词: metering pump, stroke regulation, H-infinite robust control, PID control, non-fragile

YU Shiming, WU Jiangjiang, ZHANG Duan. Robust Non-fragile PID Controller Design for the Stroke Regulation of Metering Pumps[J]. , 2011, 19(1): 83-88.

余世明, 吴江江, 张端. Robust Non-fragile PID Controller Design for the Stroke Regulation of Metering Pumps[J]. CIESC Journal, 2011, 19(1): 83-88.

References

1 Sun, L., Helen H.L., “A strategy for multi-objective optimization under uncertainty in chemical process design”, Chin. J. Chem. Eng.,16 (1), 39-42 (2008).
2 Yu, S.M., Wang, H.Q., “Improved generalized predictive control algorithm with offline and online identification and its application to fixed bed reactor”, Chin. J. Chem. Eng., 11 (1), 49-54 (2003).
3 Zhang, W.Y., Huang, D.X., Wang, Y.D., Wang, J.C., “Adaptive state feedback predictive control and expert control for a delayed coking furnace”, Chin. J. Chem. Eng., 16 (4), 590-598 (2008).
4 Hou, W.F., Su, H.Y., Mu, S.J., Chu, J., “Multi objective optimization of the industrial naphtha catalytic reforming process”, Chin. J. Chem. Eng., 15 (1), 75-80 (2007).
5 Wang, Z.H., Chen, Z.Q., Sun, Q.L., Yuan, Z.Z., “Multivariable decoupling predictive control based on QFT theory and application in CSTR chemical process”, Chin. J. Chem. Eng., 14 (6), 765-769 (2006).
6 Cao, Q., “Development and application of metering pumps”, Petrochemical Equipment, 30 (5), 44-47 (2001). (in Chinese)
7 Mimmi, G., Pennacchi, P., “Diaphragm design improvement for a metering pump”, Enginnering Failure Analysis, 8 (1), 1-13 (2001).
8 Rajendran, S., “Considerations in design of metering pump systems”, Chemical Engineering World, 30 (5), 87-91 (1995).
9 Day, T.J., “Metering pump optimization to reduce operating costs”, Water and Wastes Digest, 48 (4), 20-22 (2008).
10 Wang, L.F., Wang, G.W., “Research on microchip controlled metering pump flow system”, In: 5th International Conference on e-Engineering and Digital Enterprise Technology, Guiyang, China (2006). (in Chinese)
11 Martin, S., Vladimir, H., Lstvan, S., “Development of control system for fuel metering pump”, In: Proceedings of 35th Annual Conference of the IEEE Industrial Electronics Society, Porto, Portugal (2009).
12 Yao, B., Wang, F., “LMI approach to reliable H_∞ control of linear systems”, Journal of Systems Engineering and Electronics, 17 (2),381-386 (2006). (in Chinese)
13 Lien, C.H., “H_∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach”, Chaos, Solitons & Fractals, 34 (2), 428-436 (2007).
14 Park, J.H., “Robust non-fragile guaranteed cost control of uncertain large-scale systems with time-delays in subsystem interconnections”, International Journal of Systems Science, 35 (4), 233-241 (2004).
15 Di, H.T., Shao, J.P., Zheng, W.B., “The development of metric pump closed control system”, Journal of Harbin University of Science and Technology, 5 (10), 37-39 (2005). (in Chinese)
16 Gong, Y.T., Xiao, S.G., Song, M.M., “Dynamics modeling and simulation for flow control system of mechanical electrical and hydraulic integration”, Machine Tool & Hydraulics, 11 (36), 73-75 (2008).
17 Li, H.J., Chen, M.J., “Design of H_∞ robust PID controller based on LMI”, Control Engineering of China, 3 (14), 294-296 (2007). (in Chinese)
18 Carlos, E., Souza, D.E., Xi, L., “Delay-dependent H_∞ robust control of uncertain linear state-delayed systems”, Automatic, 35 (9),1313-1321 (1999).
19 Wang, Y.J., Shieh, L.S., “Observer-based robust H_∞ control laws for uncertain linear systems”, AIAA Journal of Guidance, Control and Dynamic, 14 (6), 741-751 (1991).
20 Ho, D.W.C., Lu, G.P., “Robust stabilization for a class of discretetime nonlinear systems via output feedback: The unified LMI approach”, International Journal of Control, 76 (2), 105-115 (2003).

[1]	Yaobo HUANG, Jiaxin LIU, Zuhua XU, Jun ZHAO, Zhijiang SHAO. Modeling and control strategy for packing-stage of injection molding process based on PWA fusion model [J]. CIESC Journal, 2020, 71(3): 1103-1110.
[2]	BAO Cheng, SU Qingquan, MI Wanliang, LI Zhiyuan, BI Quan, JI Zhonghua, LIU Zhixiang, MAO Zongqiang. A 10kW-scale Distributed Power Plant of Natural Gas-Proton Exchange Membrane Fuel Cell [J]. , 2010, 18(6): 988-994.
[3]	QIU Xianbo, YUAN Jingqi, WANG Zhifeng. Feedforward Variable Structural Proportional-Integral-Derivative for Temperature Control of Polymerase Chain Reaction [J]. , 2006, 14(2): 200-206.

Robust Non-fragile PID Controller Design for the Stroke Regulation of Metering Pumps

Robust Non-fragile PID Controller Design for the Stroke Regulation of Metering Pumps

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 3

Recommended Articles

Metrics

Comments