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编解码和时延约束下的网络化控制系统最优跟踪性能
引用本文:张斌,姜晓伟,陈向勇,张先鹤. 编解码和时延约束下的网络化控制系统最优跟踪性能[J]. 控制理论与应用, 2022, 39(10): 1865-1871
作者姓名:张斌  姜晓伟  陈向勇  张先鹤
作者单位:中国地质大学(武汉)自动化学院,中国地质大学(武汉)自动化学院,临沂大学自动化与电气工程学院,湖北师范大学电气工程与自动化学院
基金项目:国家自然科学基金 (62073302, 62173175, 62173130, 12026235)
摘    要:本文研究了具有丢包、时延、编解码等通信资源受限下多输入多输出离散时间网络控制系统的最优跟踪性能. 基于频域方法, 采用二元随机过程来模拟数据包丢失, 并假设信道噪声是加性高斯白噪声(AWGN), 推导了在丢包、信道噪声、时延和编解码影响下的跟踪性能极限. 采用单参数补偿器(SDOF), 利用互质分解、Youla参数化等工具得到了编解码和时延约束下的网络控制系统最优跟踪性能的显式表达式. 结果表明, 跟踪性能与对象的固有特性(非最小相位零点与不稳定极点的位置和方向)、时延、丢包率和AWGN 功率谱密度密切相关.

关 键 词:跟踪性能优化   非最小相位零点   不稳定极点   通信资源受限
收稿时间:2021-06-23
修稿时间:2022-04-25

Optimal tracking performance of networked control systems with encoding-decoding and time-delay constraints
Zhang Bin,JIANG Xiao-wei,CHEN Xiang-yong and ZHANG Xian-he. Optimal tracking performance of networked control systems with encoding-decoding and time-delay constraints[J]. Control Theory & Applications, 2022, 39(10): 1865-1871
Authors:Zhang Bin  JIANG Xiao-wei  CHEN Xiang-yong  ZHANG Xian-he
Affiliation:School of Automation, China University of Geosciences,School of Automation, China University of Geosciences,School of Automation and Electrical Engineering, Linyi University,School of Electrical Engineering and Automation, Hubei Normal University
Abstract:The optimal tracking performance of multi-input multi-output (MIMO) discrete-time networked control systems (NCSs) under communication constraints such as packet loss, time-delay, encoding-decoding is studied in this paper. Based on the frequency-domain method, and by modeling packet loss as a binary random process and assuming that channel noise is additive white Gaussian noise (AWGN). The tracking performance limitations are derived. Using a single-degree-of-freedom (SDOF) compensator, an explicit expression for the optimal tracking performance of NCSs under encoding-decoding and time-delay constraints is obtained by means of techniques such as coprime decomposition and Youla parameterization. It is shown that the tracking performance has a close relation with the intrinsic characteristic of the plant such as locations and directions of nonminimum phase zeros and unstables poles, as well as the time-delay, packet loss rate and power spectral density of AWGN.
Keywords:tracking performance optimization   nonminimum phase zeros   unstable poles   communication constraints
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