Fault diagnosis and fault tolerant control for non-Gaussian singular stochastic distribution systems

This paper presents new fault detection and diagnosis (FDD) and fault tolerant control (FTC)algorithms for non-Gaussian singular stochastic distribution control (SDC) systems. Different from general SDC systems, in singular SDC systems, the relationship between the weights and the control input is expressed by a singular state space mode, which increases the difficulty in the FDD and FDD design. The FDD algorithm is formulated by extending the developed FDD algorithms of non-singular SDC systems to singular systems. Based on the estimated fault information, the fault tolerant controller can be designed to make the post-fault probability density function (PDF) still track the given distribution. Computer simulations are given to show the effectiveness of the proposed FDD and FTC algorithms.