Open AccessMinimum entropy fault‐tolerant control for non‐Gaussian singular stochastic distribution systems
Author(s) -
Yao Lina,
Lei Chunhui,
Guan Yacun,
Wang Hong
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2015.0394
Subject(s) - control theory (sociology) , gaussian , entropy (arrow of time) , fault tolerance , mathematics , linear matrix inequality , observer (physics) , mathematical optimization , computer science , control (management) , artificial intelligence , physics , distributed computing , quantum mechanics
This study presents a new fault diagnosis (FD) and fault‐tolerant control (FTC) algorithm for a discrete‐time non‐Gaussian singular stochastic distribution control (SDC) system. An adaptive observer is used to diagnose the fault of the singular stochastic distribution system. Furthermore, the gain of the observer and adaptive updated law can be formulated by solving the corresponding linear matrix inequality. Based on the estimated fault information, the controller is reconfigured by minimising the performance index with regard to the entropy subjected to mean constraint. The reconfigured controller can make the output of the post‐fault SDC system still have the minimum uncertainty, leading to the minimum entropy FTC of the non‐Gaussian singular SDC system. Computer simulations are given to demonstrate the validity of the FD and minimum entropy FTC algorithms.