Research On Anti-disturbance Control Of Markov Jump Systems

With its special switching mechanism,Markov jump system can well describe the sudden structure and parameter changes of the control system,so it has been paid close attention by researchers in recent years.However,irregular packet loss and channel delay in the network model,different loads and road changes faced by vehicle suspension systems in operation,and changes in airspeed faced by helicopters during flight can all lead to changes in the transition rate of the system.Therefore,it is of great significance for the study of Markov jump system with time-varying transition rate.This paper will discuss the problem of antidisturbance control for higher-level Markov jump systems.The main work of this article is as follows:Firstly,the asynchronous H∞ control problem for continuous time nonlinear Markov jump systems with time-varying transition rate matrices is studied.The random switching of transition rate matrices in the process of system operation is regarded as its time-varying property,that is,finite Markov processes obey a higher-level Markov process.On this basis,a Lyapunov function based on higher-level Markov jump systems is designed,and an asynchronous controller that guarantees the system is stochastically stable with a predetermined performance of H∞ is obtained.Secondly,the H∞ anti-disturbance control problem for singular higher-level Markov jump systems with time-varying delay is studied on the basis of the disturbance observer,and two cases where only the higher-level transition rate is partially unknown and the higher-level and lower-level transition rates are partially unknown are considered.Due to the impact of multiple disturbances on the system,a compound anti-disturbance control law based on disturbance observer is designed.At the same time,sufficient conditions are given to guarantee the random stability of the system with predetermined H∞ performance.Finally,the possibility of actuator failure or failure while controlling the device is taken into account,as well as the incomplete testability and uncertainty of the system modal parameters.Based on the disturbance observer,a reliable asynchronous non-fragile compound anti-disturbance controller is designed to ensure that the singular higher-level Markov jump system is randomly admissible with generally uncertain transition rate.In addition,the matrix decomposition technique is used to solve the controller gain matrix,which effectively reduces the computational complexity.