An LMI approach to fault detection and isolation filter design for Markovian jump system with mode-dependent time-delays

2006 ◽  
Author(s):  
Hongru Wang ◽  
Changhong Wang ◽  
Huijun Gao ◽  
Ligang Wu
Keyword(s):  
Fault Detection ◽  
Time Delays ◽  
Filter Design ◽  
Fault Detection And Isolation ◽  
Markovian Jump ◽  
Lmi Approach ◽  
Markovian Jump System

Fault detection and isolation for discrete-time Markovian jump systems with generally bounded transition probabilities: A zonotope-based method

2021 ◽  
pp. 014233122110232
Author(s):  
Dunke Lu ◽  
Xinyu Zhang ◽  
Yunsheng Lan ◽  
Xiaohua Wang
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Transition Probabilities ◽  
Fault Detection And Isolation ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Markovian Jump System ◽  
Robust Observer ◽  
Robust Observers ◽  
Jump Systems

This paper addresses the fault detection and isolation for a class of discrete-time Markovian jump system with generally bounded transition probabilities. The proposed method is mainly based on a bank of [Formula: see text] robust observers, which can detect the actuator fault occurrence and, even more, can locate those subjected to the fault. Furthermore, the performance and the robustness of the designed [Formula: see text] robust observer are disseminated respect to disturbances and measurement noises. In particular, we propose the zonotop-based dynamic threshold to predict the ranges of the residual, which shows less conservatism in comparison to traditional methods. Finally, pertinent simulations are performed to corroborate the potential and superiority of the proposed method. In general, the proposed method offers effective fault detection and isolation scheme for Markovian jump systems, which can detect the fault timely and accurately with lowering the rate of fault missing report to a great extent, thus having practical value.

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