Research On Robust Control And Filtering Of Switching System In Network Environment

Considering about the distribution delay phenomenon is prevalent in the system,such as the mechanical transmission process,the boiler temperature control process will have a time difference in signal reception at different locations.If this phenomenon is not taken into account,the performance of the system may be affected,so how to effectively reduce the influence of distributed delay on the system is of great significance.In this paper,we study the robust control and filtering problem of switched systems with distributed delay,which includes robust control of discrete switching systems with distributed delay,switching system with distributed delay,and discrete switching in wireless sensor networks system filtering.The main methods used in this paper are as follows: using Lyapunov-Krasovskii functional method and linear inequality method,the average residence time method and the difference of constructive function are used to obtain the sufficient condition to meet the performance index.Among them,the average residence time method and the cycle switching method is different from the subsystem has its own average residence time,a good way to reduce the system's conservative.Firstly,the H?robust state feedback control and the H?dynamic output feedback control are studied for the discrete switching system and the continuous switching system with distributed delay.Under the arbitrary switching signal,the stability index of the system is given.And the state feedback controller and output feedback controller are designed,and give numerical examples to verify.Secondly,the filtering problem of continuous switching system is studied.The H?performance criterion and2 L L?-performance criterion of continuous switching system with distributed delay are established by using Newton-Leibniz formula and congruent transformation method.The filter is designed to make the filter error system asymptotically stable,and through the LMI technology to obtain a feasible filter parameter matrix.The simulation proves that the designed method is feasible.Finally,for the discrete switching system with distributed delay and random measurement data loss,the H?filtering and2 L L?-filtering problems are studied.The Bernoulli stochastic sequence of known probability is used to construct the delay-dependent functional,and the sufficient conditions for satisfying the performance index are obtained by using the average dwell time method.The design of the filter is transformed into a set of linear matrix inequalities.Finally,the numerical simulation proves that the method is feasible.