H_? Filtering For A Class Of Discrete-time Markovian Jump Systems With Partially Unknown Transition Probabilities And Missing Measurement

In recent years,many researchers have paid attention to the filtering problem of discrete Markovian jump systems.Although the problem has achieved some research results,but these results are not perfect.On the basis of the existing achievements,this paper makes a further study on these problems.In this paper,based on the Lyapunov stability theory and the linear matrix inequality method,we study the filtering of a class of discrete-time Markovian jump systems with data loss.The main contents are as follows:(1)The filtering problem of discrete Markovian jump system with the known transition probability is studied under the condition of data loss.Based on the introduction of the Shure complement lemma,the design results of the filter are given.A numerical example is given tdemonstrate the effectiveness of the proposed filter.(2)In order to improve the performance of induction motor speed control system for induction motor vector control loop speed,torque and current loop PI regulator parameter Flux current loop while evolutionary optimization.(3)The modeling process of the dynamic system of DC motor control inverted pendulum is presented,and made the DC motor system approximated by a discrete-time Markovian jump system model.TheH_? filtering problem of Markovian jump system with partially unknown transition probability is studied under the condition of data loss.Based on the introduction of the Shure complement lemma,the design results of the filter are given.A numerical example is given to demonstrate the effectiveness of the proposed filter.