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)   

  1. 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)   

  1. 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: 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)