Controller Design And Fault Detection Of Networked Markov Jump System

Markov jump systems are considered to be a class of typical multi-modal stochastic systems,which limitedly contain the constraints of single-modal systems.When the system is in the state of external environment changes or component failures,the randomness of its jump can be accurately expressed by the Markov jump system,which has an irreplaceable role in practical applications,so that in intelligent remote sensing,wireless communication and other applications have been comprehensively promoted.In this paper,for a class of Markov jump systems with packet dropout,partially unknown transition probability and Denial of Service(Do S)attacks,the controller design and fault detection are carried out based on observers.The specific work is as follows:(1)The H_? control problem for networked Markov jump system with data packet dropout occurring not only in the channel from sensor to controller(S-C)but also in the channel from controller to actuator(C-A)via an observer is researched.A closed-loop system model for the networked Markov jump system with data packet dropout between S-C and C-A channels is established.The sufficient and necessary conditions for the stochastic stability of the closed-loop system are given,the design method of the controller and the minimum disturbance suppression performance index are given under the condition that the transition probability is all known and partially unknown.Example simulations demonstrate the effectiveness of the proposed method.(2)The H_? control problem of an observer-based networked Markov jump system with Lipschitz nonlinearity,data packet dropout and periodic Do S attacks is discussed.The packet dropout and Do S attacks are modeled as Bernoulli distribution with known conditional probability.Considering that there is also packet dropout in the sleeping period of Do S attacks,the sufficient conditions for the stochastic stability of the closed-loop system are obtained by Lyapunov analysis method.At the same time,the design method of the controller and the performance index of minimum disturbance suppression are also given accordingly.It is verified by simulation,and the relationship between interference suppression performance and Do S attacks is analyzed.(3)The problem of fault detection is studied for a networked Markov jump system with packet dropout between S-C channels.First,an observer is constructed on the controller side,and the mathematical model of the closed-loop system is established by analyzing the data packet dropout.Secondly,by constructing a suitable Lyapunov function,the sufficient conditions for the stochastic stability of the considered system are discussed.Finally,the solution algorithm of the controller and the minimum disturbance suppression index is obtained.And further use simulation to verify its effectiveness.