带丢包的网络化控制系统的随机故障检测  

Random fault detection for networked control systems with packet losses

作　　者：高敏 姜顺 潘丰 Gao Min;Jiang Shun;Pan Feng(Key Laboratory of Advanced Process Control for Light Industry（Ministry of Education）,Jiangnan University,Wuxi 214122,China)

机构地区：[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　　处：《南京理工大学学报》2018年第3期292-299,共8页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(61403168)

摘　　要：为提高网络化控制系统的性能和稳定性,研究系统中同时存在随机故障、丢包以及信号量化的故障检测(FD)问题。用满足Bernoulli分布的随机变量表示故障发生概率,建立存在随机故障的网络化控制系统的数学模型。用FD滤波器作为残差产生机制,借助状态增广的方法将常规的FD滤波器设计问题转化为H∞滤波问题。利用Lyapunov稳定性理论和线性矩阵不等式(LMI)方法得到滤波器的参数表达式,从而获得系统的残差,用于判断故障是否发生。仿真验证了所设计的随机故障检测方法的有效性。Fault detection（FD） is researched for a networked control system with randomly occurring faults,random packet losses and signal quantization to improve the performance and stability. A mathematical model is established for the networked control system with randomly occurring faults,and a random variable satisfying Bernoulli distribution is introduced to describe the probability of fault occurrence. The original FD filter design problem is turned into an H∞filtering design problem using state enlargement with the FD filter as the residual generator. A parameter expression of the FD filter is derived by Lyapunov stability theory and the linear matrix inequality（LMI） method,and the residual signal is obtained to judge the occurrence of faults. The effectiveness of the proposed FD method is verified by simulation.

关 键 词：网络化控制系统 随机故障 随机丢包 信号量化 故障检测滤波器 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]