Abstract
New integrated fault diagnosis (FD) and fault tolerant control (FTC) algorithm for non-Gaussian singular time-delayed stochastic distribution control (SDC) system is proposed in the paper. Different from general SDC systems, in singular time-delayed SDC systems, the relationship between the weights and the control input is expressed by a singular time-delayed state space model, which largely increases the difficulty in the FD and FTC design. An iterative learning observer (ILO) is designed to carry out the fault estimation. The influence of the time delay term is eliminated in the process of the proof of the observation error stability. The fault may be constant, slow varying, or fast varying. Combined with the switching control theory, based on the estimated fault information, the fault tolerant controller can be designed to make the postfault probability density function (PDF) still track the given distribution. Simulations are given to show the effectiveness of the proposed integrated FD and FTC algorithms.
Highlights
Reliability and stability are of paramount importance for practical processes
For the active fault tolerant control of stochastic systems, the fault estimation information is used to carry out the controller reconfiguration [14,15,16]
When the objective probability density function (PDF) is not known in advance, the purpose of FTC of stochastic distribution systems is to design a fault tolerant controller to make the uncertainty of the system output still be minimized
Summary
Reliability and stability are of paramount importance for practical processes. Fault detection, diagnosis (FDD), and fault tolerant control (FTC) have long been regarded as an important and integrated part in control system design. When the objective probability density function is known, the purpose of FTC of the stochastic distribution systems is to design a fault tolerant controller to make the postfault PDF still track the given distribution [14,15,16]. When the objective PDF is not known in advance, the purpose of FTC of stochastic distribution systems is to design a fault tolerant controller to make the uncertainty of the system output still be minimized. In practice, some algebraic relations exist between the input and the weights, leading to a singular state space model between the weights and the control input Such systems are called singular stochastic distribution control systems. Few literatures have been reported on the FDD and FTC of such singular time-delayed stochastic distribution system This forms the main purpose of the work in this paper.
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