Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor—actuator networks

doi:10.1088/1674-1056/26/9/090201

中国物理B ›› 2017, Vol. 26 ›› Issue (9): 90201-090201.doi: 10.1088/1674-1056/26/9/090201

• GENERAL • 下一篇

Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor—actuator networks

Jian-Zhong Zhang(张建中), Bao-Tong Cui(崔宝同), Bo Zhuang(庄波)

Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Jiangnan University, Wuxi 214122, China

收稿日期:2016-12-08 修回日期:2017-03-26 出版日期:2017-09-05 发布日期:2017-09-05
通讯作者: Jian-Zhong Zhang E-mail:zhangjz2018@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61174021 and 61473136).

Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor—actuator networks

Jian-Zhong Zhang(张建中), Bao-Tong Cui(崔宝同), Bo Zhuang(庄波)

Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Jiangnan University, Wuxi 214122, China

Received:2016-12-08 Revised:2017-03-26 Online:2017-09-05 Published:2017-09-05
Contact: Jian-Zhong Zhang E-mail:zhangjz2018@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61174021 and 61473136).

摘要/Abstract

摘要： A guidance policy for controller performance enhancement utilizing mobile sensor-actuator networks (MSANs) is proposed for a class of distributed parameter systems (DPSs), which are governed by diffusion partial differential equations (PDEs) with time-dependent spatial domains. Several sufficient conditions for controller performance enhancement are presented. First, the infinite dimensional operator theory is used to derive an abstract evolution equation of the systems under some rational assumptions on the operators, and a static output feedback controller is designed to control the spatial process. Then, based on Lyapunov stability arguments, guidance policies for collocated and non-collocated MSANs are provided to enhance the performance of the proposed controller, which show that the time-dependent characteristic of the spatial domains can significantly affect the design of the mobile scheme. Finally, a simulation example illustrates the effectiveness of the proposed policy.

关键词: distributed parameter systems, time-dependent spatial domains, mobile actuator-sensor networks, Lyapunov stability

Abstract: A guidance policy for controller performance enhancement utilizing mobile sensor-actuator networks (MSANs) is proposed for a class of distributed parameter systems (DPSs), which are governed by diffusion partial differential equations (PDEs) with time-dependent spatial domains. Several sufficient conditions for controller performance enhancement are presented. First, the infinite dimensional operator theory is used to derive an abstract evolution equation of the systems under some rational assumptions on the operators, and a static output feedback controller is designed to control the spatial process. Then, based on Lyapunov stability arguments, guidance policies for collocated and non-collocated MSANs are provided to enhance the performance of the proposed controller, which show that the time-dependent characteristic of the spatial domains can significantly affect the design of the mobile scheme. Finally, a simulation example illustrates the effectiveness of the proposed policy.

Key words: distributed parameter systems, time-dependent spatial domains, mobile actuator-sensor networks, Lyapunov stability

中图分类号: (Partial differential equations)

02.30.Jr

07.07.Df (Sensors (chemical, optical, electrical, movement, gas, etc.); remote sensing) 07.05.Dz (Control systems)

张建中, 崔宝同, 庄波. Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor—actuator networks[J]. 中国物理B, 2017, 26(9): 90201-090201.

Jian-Zhong Zhang(张建中), Bao-Tong Cui(崔宝同), Bo Zhuang(庄波). Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor—actuator networks[J]. Chin. Phys. B, 2017, 26(9): 90201-090201.

参考文献 40

[1]	Zhang Q and Zhang J F 2012 IEEE Trans. Autom. Control 57 2545
[2]	Kar S, Moura J M F and Ramanan K 2012 IEEE Trans. Informat. Theory 58 3575
[3]	Wang H, Liao X, Wang Z, Huang T and Chen G 2016 Neural Networks 73 1
[4]	Luo X, Chai L and Yang J 2014 Control Theory & Applications 31 201
[5]	Gupta R A and Chow M Y 2010 IEEE Trans. Ind. Electron. 57 2527
[6]	Ding S X, Zhang P, Yin S and Ding E L 2013 IEEE Trans. Ind. Informat. 9 462
[7]	Liu F, Gao H, Qiu J, Yin S, Fan J and Chai T 2014 IEEE Trans. Ind. Electron. 61 460
[8]	Qiu J, Gao H and Ding S X 2016 IEEE Trans. Ind. Electron. 63 1207
[9]	Martin H 2002 Proceedings of the 2002 7th IEEE International Workshop on Cellular Neural Networks and Their Applications July 24-24, 2002, p. 283
[10]	Feng X, Tian Y C, Li Y J and Sun Y X 2007 Sensors 7 2157
[11]	Christofides P D 2001 Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes (Boston: Birkhäuser)
[12]	Qiu J, Ding S X, Gao H and Yin S 2016 IEEE Trans. Fuzzy Syst. 24 388
[13]	Ng J and Dubljevic S 2012 Chem. Eng. Sci. 67 111
[14]	Wang P K C 1995 Optim. Control Appl. Methods 16 305
[15]	Capecelatro J, Pepiot P and Desjardins O 2015 Chem. Eng. Sci. 122 403
[16]	Armaou A and Christofides P D 2001 Automatica 37 61
[17]	Armaou A and Christofides P D 2001 Int. J. Appl. Math. Comput. Sci. 11 287
[18]	Jiang Z X and Cui B T 2015 Chin. Phys. B 24 020702
[19]	Mu W Y, Cui B T, Li W and Jiang Z X 2014 ISA T. 53 1087
[20]	Chen Y Q, Wang Z M and Moore K L 2006 Proceedings of the IEEE International Conference on Networking, Sensing and Control, April 23-25, 2006, p. 107
[21]	Wen S H 2009 Chin. Phys. B 18 4222
[22]	Baras J S and Bensoussan A 1989 SIAM J. Control Optim. 27 786
[23]	Uciński D 2004 Optimal Measurement Methods for Distributed Parameter System Identification (Boca Raton: CRC Press)
[24]	Butkovskiï A G and Pustyl'nikova E I 1980 SIAM J. Control Optim. 41 741
[25]	Khapalov A Y 2001 SIAM J. Control Optim. 40 231
[26]	Khapalov A Y 1995 Appl. Math. Opt. 31 155
[27]	Khapalov A Y 2003 SIAM J. Control Optim. 41 1886
[28]	Liang J S and Chen Y Q 2005 Proceedings of the IEEE International Conference on Mechatronics & Automation, July 29-Aug. 1, 2005, Niagara Falls, Canada, p. 2228
[29]	Chao H Y, Chen Y Q and R W 2007 Proceedings of the 46th IEEE Conference on Decision and Control, December 12-14, 2007, New Orleans, USA, p. 1441
[30]	Chao H Y, Chen Y Q and R W 2006 Proceedings of the IEEE International Conference on Mechatronics & Automation, June 25-28, 2006, Luoyang, China, p. 769
[31]	Demetriou M A and Kazantzis N 2005 Comput. Chem. Eng. 29 867
[32]	Demetriou M A 2008 Proceedings of the 47th IEEE Conference on Decision and Control, December 9-11, 2008, Worcester, USA, p. 215
[33]	Demetriou M A 2010 IEEE Trans. Autom. Control 55 1570
[34]	Demetriou M A 2011 Proceedings of the 2011 American Control Conference, June 29-July 1, 2011, San Francisco, USA, p. 3140
[35]	Demetriou M A 2012 IEEE Trans. Autom. Control 57 2979
[36]	Demetriou M A 2013 Proceedings of the 2013 American Control Conference, June 17-19, 2013, Washington, USA, p. 479
[37]	Demetriou M A 2014 Proceedings of the 2014 American Control Conference, June 4-6, 2014, Portland, USA, p. 4050
[38]	Mu W Y, Cui B T, Lou X Y and Li W 2014 Chin. Phys. B 23 070204
[39]	Wang T, Gao H and Qiu J 2016 IEEE Trans. Ind. Electron. 63 2529
[40]	Wang P K C 1990 J. Optim. Theory Appl. 65 331

Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor—actuator networks

Improved control for distributed parameter systems with time-dependent spatial domains utilizing mobile sensor—actuator networks

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