Robust H-infinity fault detection for networked control systems with partly unknown time-delay transition probabilities
WANG Yan-feng
WANG Pei-liang
CAI Zhi-duan
Abstract：This paper investigates the robust H-infinity fault detection problem for the discrete networked control system with time-delays on condition that the transition probabilities of time-delays are partly unknown.First,the time-delay from sensor to controller and the time-delay from sensor to actuator are both considered which are described by two independent Markov chains of finite dimensions.The networked control system is molded as a control system which contains two Markov chains.Furthermore,the fault detection filter is constructed and the closed-loop system is established by the state augmented method.Next,the conditions which make the closed-loop system stochastically stable and achieve prescribed H-infinity performance are obtained in terms of linear matrix inequalities,and the method of calculating the corresponding controller,fault detection filter gain matrices and the minimum H-infinity attenuation level is given.The relationship between transition probabilities and minimum H-infinity attenuation level is also obtained.Finally,the simulation example shows that the proposed fault detection filter is not only sensitive to fault and but also robust to exogenous disturbance.
Keywords：fault detection filtertransition probability matrixMarkov chainrobust H-infinity performance
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 273-279 )