Event-triggered distributed filtering for Markov jump systems over sensor networks

2020 ◽  
pp. 095965182097757
Author(s):  
Fengzeng Zhu ◽  
Li Peng ◽  
Ruitian Yang
Keyword(s):  
Sensor Networks ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Intelligent Node ◽  
Network Bandwidth ◽  
Text Filtering ◽  
Jump Systems ◽  
Event Triggered

This article deals with the distributed filtering problem for a class of discrete-time Markov jump systems over sensor networks. First, in the distributed filtering network, each local filter simultaneously fuses the estimation and measurement from itself and neighboring nodes to achieve the system state estimation. And each sensor intelligent node is embedded with an event-triggered sampling mechanism, which can reduce the computation load or saving limited network bandwidth. Then, we use Bernoulli stochastic variables to describe whether the filtering network can successfully receive the system jump modes. Next, based on the Lyapunov stability theory, we design a distributed filter dependent on partial system modes, which has the exponential stability in mean square and [Formula: see text] performance. Finally, all desired estimator parameters can be obtained by solving a set of linear matrix inequalities. Moreover, two numerical examples are given to illustrate the effectiveness of the distributed [Formula: see text] filtering design approach.

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.

scholarly journals Hybrid Event-Triggered Filtering for Nonlinear Markov Jump Systems With Stochastic Cyber-Attacks

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 248-258
Author(s):  
Wenqian Xie ◽  
Yong Zeng ◽  
Kaibo Shi ◽  
Xin Wang ◽  
Qianhua Fu
Keyword(s):  
Cyber Attacks ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems ◽  
Event Triggered ◽  
Hybrid Event

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 H∞Filtering for Discrete Markov Jump Singular Systems with Mode-Dependent Time Delay Based on T-S Fuzzy Model

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Cheng Gong ◽  
Yi Zeng
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Singular Systems ◽  
Fuzzy Model ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Delay Dependent ◽  
Jump Systems

This paper investigates theH∞filtering problem of discrete singular Markov jump systems (SMJSs) with mode-dependent time delay based on T-S fuzzy model. First, by Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition onH∞-disturbance attenuation is presented, in which both stability and prescribedH∞performance are required to be achieved for the filtering-error systems. Then, based on the condition, the delay-dependentH∞filter design scheme for SMJSs with mode-dependent time delay based on T-S fuzzy model is developed in term of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.

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