Robust Dissipative Filter For Time-Delay Singular Systems With Parameter Uncertainties

Robust control theory combining with parameter uncertainties and uncertainty ofexternal disturbance, researches the robust performance of system. It makes up for the lackof modern control theory needing to mathematical models, and makes the method ofsystem analysis and synthesis more effective and practical. In recent years, the robustdissipative filter is caused more and more attention. In actual industry, people often designthe dissipative filters with time-delay and parameter uncertainties. Therefore, dissipativefiltering problems have important significance and value.In this dissertation, the robust dissipative filter design method for singular systems isconsidered. The system's models and design methods are more generalized than othersexisting literatures. The main content as follows:First of all, the generation and application background of robust control areconsidered. The robust dissipative filtering theory, the recent development and theresearch method for the robust dissipative filtering are also introduced.Secondly, the robust dissipative filtering of singular systems with time-delay andparameter uncertainties are separately investigated. The uncertainties are in a fractionalform. Based on the Lyapunov theory, with constructing a Lyapunov function, the existingconditions and design method of dissipative filtering problem is solved, and the desiredproblem of filter can be constructed by solving the corresponding linear matrix inequality.Thirdly, the problem of robust dissipative filtering for a class of time-varyingtime-delay T-S fuzzy singer systems with parameter uncertainties is considered. Thesufficient conditions on the existence of robust dissipative filters are derived.Fourthly, by structuring Lyapunov functions, the robust dissipative filter for a class oftime-delay singular systems with nonlinear perturbation and parameter uncertainties canbe obtained by solving the corresponding linear matrix inequality. Numerical examplesare provided to illustrate the effectiveness of the design approach.At last, the problem of robust and non-fragile dissipative filter is investigated for aclass of uncertain stochastic time-delay singer systems with Markovian jump parameters.A sufficient condition for the existence of non-fragile filter is derived in the form of linearmatrix inequality(LMI). An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.