Dong Hongli, Wang Zidong, Lam James, Gao Huijun
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China.
IEEE Trans Syst Man Cybern B Cybern. 2012 Apr;42(2):365-76. doi: 10.1109/TSMCB.2011.2163797. Epub 2011 Sep 15.
This paper is concerned with the network-based robust fault detection problem for a class of uncertain discrete-time Takagi-Sugeno fuzzy systems with stochastic mixed time delays and successive packet dropouts. The mixed time delays comprise both the multiple discrete time delays and the infinite distributed delays. A sequence of stochastic variables is introduced to govern the random occurrences of the discrete time delays, distributed time delays, and successive packet dropouts, where all the stochastic variables are mutually independent but obey the Bernoulli distribution. The main purpose of this paper is to design a fuzzy fault detection filter such that the overall fault detection dynamics is exponentially stable in the mean square and, at the same time, the error between the residual signal and the fault signal is made as small as possible. Sufficient conditions are first established via intensive stochastic analysis for the existence of the desired fuzzy fault detection filters, and then, the corresponding solvability conditions for the desired filter gains are established. In addition, the optimal performance index for the addressed robust fuzzy fault detection problem is obtained by solving an auxiliary convex optimization problem. An illustrative example is provided to show the usefulness and effectiveness of the proposed design method.
本文研究了一类具有随机混合时滞和连续数据包丢失的不确定离散时间Takagi-Sugeno模糊系统基于网络的鲁棒故障检测问题。混合时滞包括多个离散时滞和无穷分布时滞。引入了一个随机变量序列来描述离散时滞、分布时滞和连续数据包丢失的随机发生，其中所有随机变量相互独立且服从伯努利分布。本文的主要目的是设计一个模糊故障检测滤波器，使整体故障检测动态在均方意义下指数稳定，同时使残差信号与故障信号之间的误差尽可能小。首先通过深入的随机分析建立了所需模糊故障检测滤波器存在的充分条件，然后建立了所需滤波器增益的相应可解性条件。此外，通过求解一个辅助凸优化问题，得到了所研究的鲁棒模糊故障检测问题的最优性能指标。给出了一个数值例子来说明所提设计方法的有效性。
