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

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  • Control Theory and Applications
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Abstract

Stochastic distribution control (SDC) is a new branch of stochastic system control that the system output is the probability density function (PDF) of the output. In practice, some algebraic relations exist between the input and the weights of SDC systems, leading to a singular state space model between the weights and the control input which increases the complexity of the system. The ignorance of time delay in practical systems will make the effectiveness of the fault diagnosis (FD) and fault tolerant control (FTC) be reduced. In this paper, the linear B-spline basis functions are used to approximate the output PDF. A FD approach based on the adaptive observer is established to diagnose the size of fault in the singular time-delayed SDC system. With the fault diagnosis information, a fault tolerant controller based on PI tracking control scheme is constructed to make the post-fault PDF still track the given distribution. The post-fault closed-loop stability analysis with the practical fault tolerant controller is carried out based on the Lyapunov stability theorem. Finally, a numerical simulation is provided to demonstrate the effectiveness of the proposed approach.

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Authors and Affiliations

  1. School of Electrical Engineering, Zhengzhou University, Zhengzhou, 450001, China

    Lina Yao & Long Feng

Authors
  1. Lina Yao
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  2. Long Feng
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Corresponding author

Correspondence to Lina Yao.

Additional information

Recommended by Associate Editor Ho Jae Lee under the direction of Editor Fuchun Sun. This work was supported by National Natural Science Foundation of China (61374128), the Science and Technology Innovation Talents 14HASTIT040 in Colleges and Universities in Henan Province, China, and the Open Project of Chinese State Key Laboratory of Synthetical Automation for Process Industries.

Lina Yao received the Ph.D. degree in control theory and control engineering from the Institute of Automation, Chinese Academy of Sciences, Beijing, China, in 2006. From September 2007 to March 2008, she was Research Fellow in University of Science and Technology of Lille, France. She is currently a Professor in School of Electrical Engineering, Zhengzhou University, China. Her research interests include fault diagnosis and fault tolerant control of dynamic systems, stochastic distribution control and their applications.

Long Feng received the Bachelor degree in automation from Henan University of Science and Technology in 2012. Currently, he is a postgraduate in School of Electrical Engineering, Zhengzhou University. His research interest is in fault diagnosis and fault tolerant control for stochastic distribution systems.

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Yao, L., Feng, L. Fault diagnosis and fault tolerant control for non-Gaussian time-delayed singular stochastic distribution systems. Int. J. Control Autom. Syst. 14, 435–442 (2016). https://doi.org/10.1007/s12555-014-0321-z

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  • DOI: https://doi.org/10.1007/s12555-014-0321-z

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