scholarly journals Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time-Delay

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Yanfeng Wang ◽  
Zuxin Li ◽  
Peiliang Wang ◽  
Zhe Zhou
Keyword(s):  
Time Delay ◽  
Fault Detection ◽  
Random Time ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Fault Detection Filter ◽  
Stochastically Stable ◽  
Sufficient And Necessary Conditions ◽  
Jump Systems ◽  
Detection Filter

This paper investigates the problem of robust H∞ fault detection for networked Markov jump systems with random time-delay which is introduced by the network. The random time-delay is modeled as a Markov process, and the networked Markov jump systems are modeled as control systems containing two Markov chains. The delay-dependent fault detection filter is constructed. Furthermore, the sufficient and necessary conditions which make the closed-loop system stochastically stable and achieve prescribed H∞ performance are derived. The method of calculating controller, fault detection filter gain matrices, and the minimal H∞ attenuation level is also obtained. Finally, one numerical example is used to illustrate the effectiveness of the proposed method.

Fault Detection Filter for Markov Jump Systems

2012 ◽  
Vol 503-504 ◽  
pp. 1488-1492 ◽  
Author(s):  
Yu Cai Ding ◽  
Hong Zhu ◽  
Shou Ming Zhong ◽  
Yu Ping Zhang
Keyword(s):  
Fault Detection ◽  
Transition Probabilities ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Fault Detection Filter ◽  
Partly Unknown Transition Probabilities ◽  
Attenuation Level ◽  
Jump Systems ◽  
Detection Filter

This paper deals with the problem of fault detection for Markov jump systems (MJSs) with time-varying delays and partly unknown transition probabilities. The aim of this paper is to design a fault detection filter such that the filtering error system is stochastically asymptotically stable with an attenuation level. By using the Lyapunov-Krasovskii functional, a sufficient condition for the existence of the desired fault detection filter is formulated in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed main results.

Asynchronous Fault Detection Observer for 2-D Markov Jump Systems

2021 ◽  
pp. 1-12
Author(s):  
Peng Cheng ◽  
Hai Wang ◽  
Vladimir Stojanovic ◽  
Shuping He ◽  
Kaibo Shi ◽  
...  
Keyword(s):  
Fault Detection ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems

A finite frequency domain-based approach for active fault tolerant control of linear time-delay systems with residual feedback

2017 ◽  
Vol 40 (10) ◽  
pp. 2991-2998
Author(s):  
Quanchao Dong ◽  
Hongyan Yang
Keyword(s):  
Time Delay ◽  
Fault Detection ◽  
Active Fault ◽  
Fault Tolerant ◽  
Linear Time ◽  
Fault Tolerant Control ◽  
Finite Frequency ◽  
Fault Detection Filter ◽  
Active Fault Tolerant Control ◽  
Detection Filter

This paper presents a finite frequency-based active fault tolerant control approach for the compensation of unknown failures in linear time-delay plants. An integration of fault detection filter based on observer technology and [Formula: see text] controller in residual feedback form is considered in the active fault tolerant control system. Different from the traditional schemes, exact fault estimation is not necessary in the proposed active fault tolerant control. To achieve the desired system performance when a fault occurs, the residual is directly embedded in the control loop as a feedback term to compensate the influence of fault. By employing the Generalized Kalman–Yakubovich–Popov lemma, we derive the sufficient conditions of the existence of such an active fault tolerant control plant, and iterative algorithms are applied to obtain the solutions to the fault detection filter and controller parameter matrices. Finally, simulation results are proposed to demonstrate the effectiveness of the developed scheme.

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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