Research On Robust Filtering Problem For A Class Of Uncertain Discrete Systems In Network Environment

State uncertainties are exiting widely in the field of industrial production and aerospace.The uncertainties of such systems are closely related to the states.For example,state matrices of spring system are closely related to the spring-shaped variable.And the state matrices of the tunnel diode circuit systems depend on the value of the voltage across the inductor.For this reason,the research on such systems is very important.At the same time,outputs of real systems are often affected by various disturbances in the environment.It's important to design a filter for systems which are subject to disturbances,estimate the system outputs or states and counteract the effects of the disturbance.The problem of robust filtering for a class of state-dependent uncertain discrete systems under the network environment is studied in this paper.First,a unified model is given to describe system state and parameter uncertainty simultaneously in this paper.Then,the system model is described by the properties of convex polyhedrons.At the same time,an event trigger mechanism is introduced in this paper to filter the system output signals and reduce the network loads as a result of limitation of system bandwidth.As a result of the word lengths of computers or the accuracy of A/D converters,there are quantization errors in the process of sampling and quantizing signals inevitably in network systems.And there are transmission delays during data transmissions.The filter design models are given in this paper under the above two factors respectively.Furthermore,the augment-ed system models with transmission delays or quantization errors are obtained under the state-dependent uncertain discrete system models,the event-triggered schemes and the filter model.Based on the above conditions,the problems of H_?filter are studied in this paper under the definitions of asymptotically stable and finite-time bounded.The sufficient conditions are given for the augmentation systems which meet the requirements of the H_?index.Then,the schur complement lemma,congruent transformation and other methods are used to linearize the above conditions in this paper.And the above solution conditions are transformed into the problems of solving linear matrix inequalities(LMI).The final filter solving theorems can be obtained by using the properties of convex polyhedron under the condition that the system model can be described by this property.Finally,a numerical simulation example is given in this paper.The theorems are solved by using the yalmip toolbox.The filter matrices can be obtained under the condition that the H_? parameter index is optimal.And the theorems given in this paper are verified by designing simulation experiment.