Sampling and control strategy: networked control systems subject to packet disordering

Jinna Li; Meng-Joo Er; Haibin Yu

Sampling and control strategy: networked control systems subject to packet disordering

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Author(s): Jinna Li ^{1, 2} ; Meng-Joo Er ³ ; Haibin Yu ⁴
- Affiliations: 1: Lab of Operation and Control, Shenyang University of Chemical Technology, Shenyang, Liaoning 110142, People's Republic of China ;
  2: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning 110819, People's Republic of China ;
  3: Division of Control and Instrumentation, School of Electrical and Electronic Engineering, College of Engineering, Nanyang Technological University, Singapore 639798, Singapore ;
  4: Key Laboratory of Networked Control Systems, Shenyang Institute of Automation, Chinese Academy of Sciences, Liaoning 110016, People's Republic of China
Source: Volume 10, Issue 6, 13 April 2016, p. 674 – 683
DOI: 10.1049/iet-cta.2015.0757 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 04/02/2015, Accepted 25/12/2015, Revised 15/12/2015, Published 13/04/2016

This study proposes a novel sampling and control strategy to find a suboptimal sampling period sequence and control input sequence, such that a quadratic cost function of state and control input of a networked control system (NCS) with packet disordering is minimised. First, a discrete-time system model of the NCS with packet disordering, transmission delay and packet loss in terms of displacement values of packets is put forward. Second, a linear quadratic regulation (LQR) problem of the NCS is formulated, showing that the optimal controller depends on sampling period and quality of services (QoS) of networks. Interactive effects between sampling period and QoS of networks pose a challenge in solving the LQR problem of the NCS. To overcome this difficulty, different from traditional transmission-delay-based or packet-loss-based sampling scheme, a novel packet-disordering-based sampling period selection scheme is proposed. Furthermore, an algorithm is presented to find a suboptimal solution to the LQR problem in this study. Finally, simulation results demonstrate the effectiveness of the proposed approach.

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Sampling and control strategy: networked control systems subject to packet disordering

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