Research On Dissipative Fault Detection For Several Classes Of Markov Jump Systems Under Communication Protocols

Markov jump systems have excellent modeling ability for the mutations of system structures and parameters,so they have important applications in aerospace,medicine,communication and many other fields.With the higher requirements for the reliability of system,the fault detection issues of Markov jump systems are attracted increasing attention.On the one hand,benefiting from the rapid development of communication technology,many systems realize the data transmission between different units through communication networks.However,the data collisions may occur in the transmission process due to the limitation of network bandwidth.The communication protocol is an effective strategy to save network bandwidth resources and alleviate data collisions.On the other hand,it is usually necessary to make the residual dynamic system meets certain performance indicators in the fault detection research.As a performance criterion,dissipativity has a flexible design form,which includes passivity and H_∞performance.Therefore,it is significant to study the problems of dissipative fault detection for Markov jump systems under communication protocols.In this paper,we consider the influence of hiding mode information,partially unknown transition probabilities,cyber attacks,measurement outliers and other factors,and the dissipative fault detection problems are discussed for several classes of nonlinear Markov jump systems under three different communication protocols.The specific research contents include the following three aspects:Firstly,the dissipative fault detection problem is discussed for nonlinear Markov jump systems with cyber attacks and hidden mode information under round-robin protocol.Bernoulli random variables are adopted to characterize the measurement output affected by hybrid cyber attacks,including three cases of successful transmission,suffering from denial-of-service attacks and deception attacks.In order to deal with the phenomenon of hidden system mode information,an asynchronous fault detection filter is constructed by means of the hidden Markov model.Then,the sufficient conditions are derived based on the Lyapunov stability theory to ensure that residual dynamic system is stochastically stable and stochastically strictly dissipative.Moreover,the conditions are transformed into linear matrix inequalities(LMI),and then the gain matrices of the fault detection filter are solved.Finally,a numerical example is provided to illustrate the effectiveness of the proposed fault detection strategy.Secondly,the dissipative fault detection issue is studied for delayed nonlinear Markov jump systems with measurement outliers and partially unknown transition probabilities under the stochastic communication protocol.In order to weaken the influence of measurement outliers,the adaptive saturation function is adopted to construct the outlier-resistant fault detection filter.The sufficient criteria ensureing the stochastic stability and stochastic strict dissipativity of residual dynamic system are derived via constructing the Lyapunov-Krasovskii function which includes the items corresponding to time-delay and adaptive saturation level.Meanwhile,the fault detection filter parameters are obtained by solving LMI.In addition,the fault detection filter without saturation constraint is also designed and the superiority of the proposed outlier-resistant fault detection scheme is verified through simulation comparison.Thirdly,the non-fragile distributed dissipative fault detection problem is discussed for the delayed nonlinear Markov jump systems with sensor networks under the weighted try-once-discard protocol.Two Bernoulli random variables are used to characterize the randomness of fault occurrence and the switching between two kinds of nonlinearities.A non-fragile distributed fault detection filter is constructed,and then a compact residual dynamic system is obtained in terms of augmentation technology.The performance requirements are stochastic stability and stochastic strict dissipativity.On the premise of guaranteeing that the system meets the performance requirements,the explicit expression of the fault detection filter gain matrices are given in terms of the LMI method.At last,a simulation is provided to demonstrate the effectiveness of the proposed distributed fault detection method.