Finite-Time Fault Detection and $$H_\infty $$ State Estimation for Markov Jump Systems Under Dynamic Event-Triggered Mechanism

2021 ◽  
pp. 75-97
Author(s):  
Xiongbo Wan ◽  
Min Wu ◽  
Zidong Wang
Keyword(s):  
Fault Detection ◽  
State Estimation ◽  
Finite Time ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Dynamic Event ◽  
Jump Systems ◽  
Event Triggered

scholarly journals Dynamic-Event-Based Fault Detection for Markov Jump Systems Under Hidden-Markov Mode Observation

2020 ◽  
Vol 24 (7) ◽  
pp. 917-924
Author(s):  
Xiaoxiao Xu ◽  
Xiongbo Wan ◽  
◽  
◽  
Keyword(s):  
Fault Detection ◽  
Hidden Markov ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Dynamic Event ◽  
Special Cases ◽  
Jump Systems ◽  
Hidden Markov Mode ◽  
Event Triggered

The fault detection (FD) problem is investigated for event-triggered discrete-time Markov jump systems (MJSs) with hidden-Markov mode observation. A dynamic-event-triggered mechanism, which includes some existing ones as special cases, is proposed to reduce unnecessary data transmissions to save network resources. Mode observation of the MJS by the FD filter (FDF) is governed by a hidden Markov process. By constructing a Markov-mode-dependent Lyapunov function, a sufficient condition in terms of linear matrix inequalities (LMIs) is obtained under which the filtering error system of the FD is stochastically stable with a prescribed H∞ performance index. The parameters of the FDF are explicitly given when these LMIs have feasible solutions. The effectiveness of the FD method is demonstrated by two numerical examples.

An event-triggered approach to finite-time observer-based control for Markov jump systems with repeated scalar nonlinearities

2017 ◽  
Vol 40 (9) ◽  
pp. 2789-2797 ◽  
Author(s):  
Jingyu Li ◽  
Liang Shen ◽  
Fengqi Yao ◽  
Huanyu Zhao ◽  
Jing Wang
Keyword(s):  
Finite Time ◽  
Design Method ◽  
Function Technique ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Diagonally Dominant Matrix ◽  
Error System ◽  
Dominant Matrix ◽  
Jump Systems ◽  
Event Triggered

This paper studies the issue of finite-time observer-based control via an event-triggered scheme for Markov jump repeated scalar nonlinear systems. An observer-based controller via an event-triggered scheme is proposed, which can save the limited network communication bandwidth effectively, so that the resulting error system is stochastically finite-time bounded. Based on the positive definite diagonally dominant matrix and the Lyapunov function technique, a sufficient condition is presented for the solvability of the addressed problem, and the desired observer-based controller can be constructed via a convex optimization problem. In the end, a simulation example is employed to show the validity and practicability of the proposed design method.

scholarly journals Finite-Time Event-Triggered $\mathcal{H}_{\infty }$ Control for T–S Fuzzy Markov Jump Systems

2018 ◽  
Vol 26 (5) ◽  
pp. 3122-3135 ◽  
Author(s):  
Hao Shen ◽  
Feng Li ◽  
Huaicheng Yan ◽  
Hamid Reza Karimi ◽  
Hak-Keung Lam
Keyword(s):  
Finite Time ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems ◽  
Event Triggered
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