计算机工程与应用 ›› 2018, Vol. 54 ›› Issue (7): 114-120.DOI: 10.3778/j.issn.1002-8331.1611-0383

• 网络、通信与安全 • 上一篇    下一篇

一类网络控制系统的非脆弱耗散滤波器设计

王剑峰,姜  顺,潘  丰   

  1. 江南大学 轻工过程先进控制教育部重点实验室,江苏 无锡 214122
  • 出版日期:2018-04-01 发布日期:2018-04-16

Class of network control systems with non-fragile dissipative filter design

WANG Jianfeng, JIANG Shun, PAN Feng   

  1. Key Laboratory of Advanced Process Control for Light Industry(Ministry of Education), Jiangnan University, Wuxi, Jiangsu 214122, China
  • Online:2018-04-01 Published:2018-04-16

摘要: 针对网络化控制系统的滤波器参数存在摄动的问题,考虑到传感器-滤波器存在随机时延和丢包,设计对系统待估信号进行估计的加性非脆弱耗散滤波器,其中滤波器参数具有范数有界不确定性。首先使用Lyapunov稳定性理论和线性矩阵不等式分析方法,推导出耗散滤波器存在的充分条件,在此基础上考虑到滤波器参数不确定性,从而将非脆弱耗散滤波问题转化为求解线性矩阵不等式的问题,然后通过求解线性矩阵不等式得到非脆弱耗散滤波器的参数表达式,最后数值仿真验证了设计方法的有效性。

关键词: 随机时延, 丢包, 非脆弱耗散滤波器, 范数有界不确性

Abstract: This paper focuses on the problem for a class of networked control system with filtering gain uncertainties, sensor- to-filter stochastic packet dropouts and time delays are considered simultaneously, an approach is presented to design the non-fragile dissipative filter with additive gain uncertainties for the estimation task, where the filter parameters are allowed to have norm-bounded uncertainty. By using Lyapunov stability theory and linear matrix inequality methods, a sufficient condition for the existence of the dissipative filter is derived. The problem of non-fragile dissipative filter is turned into the solution of linear matrix inequalities in terms of filtering parameter uncertainties, and then the non-fragile filtering parameters are obtained by solving the LMI. Finally, a numerical simulation is exploited to demonstrate the effectiveness of the proposed design method.

Key words: stochastic time delay, packet dropout, non-fragile dissipative filter, norm-bounded uncertainty