Stochastic stabilisation of wireless networked control systems with lossy multi-packet transmission

• Published in: IET control theory & applications Vol. 13; no. 4; pp. 594 - 601
• Main Authors: Zhao, Yun-Bo, Huang, Tao, Kang, Yu, Xi, Xugang
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 05.03.2019
• Subjects: Brief Paper; closed loop systems; closed‐loop system; control system synthesis; controller design method; delays; distributed control; lossy multipacket transmission; Lyapunov methods; networked control systems; partially available system states; stability; stochastic stabilisation; stochastic stability; stochastic systems; wireless communication context; wireless networked control systems; stochastic stabilisation; stochastic stability; distributed control; wireless communication context; controller design method; control system synthesis; lossy multipacket transmission; wireless networked control systems; partially available system states; closed loop systems; delays; stochastic systems; networked control systems; stability; closed-loop system; Lyapunov methods
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2018.5255

The stochastic stabilisation of networked control systems is investigated with a special focus on the lossy multi-packet transmission in the wireless communication context. The resulting partially available system states due to multi-packet transmission are firstly reconstructed at the controller, and the sufficient conditions for stochastic stability are then given for the closed-loop system, which finally leads to a controller design method with explicit consideration of multi-packet transmission. The proposed theoretical results are verified by both numerical and TrueTime-based examples.