Abstract
For the non-Gaussian singular time-delayed stochastic distribution control (SDC) system with unknown external disturbance where the output probability density function (PDF) is approximated by the rational square-root B-spline basis function, a robust fault diagnosis and fault tolerant control algorithm is presented. A full-order observer is constructed to estimate the exogenous disturbance and an adaptive observer is used to estimate the fault size. A fault tolerant tracking controller is designed using the feedback of distribution tracking error, fault, and disturbance estimation to let the postfault output PDF still track desired distribution. Finally, a simulation example is included to illustrate the effectiveness of the proposed algorithms and encouraging results have been obtained.
Highlights
In order to improve the reliability of practical stochastic systems, fault diagnosis and fault tolerant control for stochastic dynamic systems has long been one of the important areas of control theory and application [1,2,3,4]
Stochastic distribution control (SDC) system is a new branch of stochastic system control in which the output is the non-Gaussian probability density function (PDF) of the system output
A fault diagnosis and fault tolerant control algorithm is given for the non-Gaussian singular timedelayed SDC system based on the rational square-root Bspline approximation model
Summary
In order to improve the reliability of practical stochastic systems, fault diagnosis and fault tolerant control for stochastic dynamic systems has long been one of the important areas of control theory and application [1,2,3,4]. When the target PDF is known, the purpose of fault tolerant control is to make the output PDF of the systems still track a given PDF as close as possible after the fault happened It has been shown in [8] that an optimal control strategy is designed to reconfigure the controller to compensate the influence of the fault on the system performance. The results of fault diagnosis and fault tolerant control for singular timedelayed SDC systems are focused on the model approximated by the linear or square-root B-spline model [13, 18]. It is significant to study fault diagnosis and fault tolerant control for non-Gaussian singular time-delayed SDC system with external disturbance based on the rational square-root model approximation. A robust fault diagnosis and fault tolerant control approach is proposed for non-Gaussian singular time-delayed stochastic distribution system with external disturbance based on the rational square-root approximation. The influence of disturbance to the system performance can be rejected by the fault tolerant controller. (2) The rational square-root model is used to approximate the output PDF of the singular time-delayed SDC system, as a contrast, linear, or square-root model is used in the existing studies of singular time-delayed SDC system
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