JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2017, Vol. 47 ›› Issue (5): 238-245.doi: 10.6040/j.issn.1672-3961.0.2017.184

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

SUN Yuancheng, YAO Lina*   

  1. School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, Henan, China
  • Received:2017-04-18 Online:2017-10-20 Published:2017-04-18

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Abstract: A tracking controller was constructed to make the output PDF track the desired one before fault occurring. A robust fault diagnosis and fault tolerant tracking control algorithm of non-Gaussian uncertain singular stochastic distribution control systems with probability density function approximation error was proposed. A fault diagnosis observer was designed to estimate the fault information with the disturbance of uncertainty and probability density function approximation error. When the fault occurred, the tracking controller was reconfigured to ensure that the post-fault output probability density function still tracked the desired distribution. The Lyapunov stability theory was used to analyze the stability of the observation error dynamic system, the closed-loop system and the tracking error dynamic system, the gain matrices were obtained by solving the corresponding linear matrix inequalities. An illustrated example was given to demonstrate the effectiveness of the proposed algorithm for time-varying fault.

Key words: uncertainty, singular, fault diagnosis, stochastic distribution control systems, fault tolerant control

CLC Number: 

  • TP206+.3
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