Filter Design For Linear Systems

The so-called filtering, is a signal in a specific frequency band filter operation, isan important act of suppression and prevention of interference. The filtering theory isa very important part of control theory and has very important application in systemanalysis and synthesis, monitoring and control.The first chapter of this paper is introduction. It mainly introduces the filteringtheory, linear matrix inequality, regional pole assignment, non-fragile control andmain research results. The second chapter introduces the basic lemma and basicconcept In the process of writing papers. The third chapter is the main results of thepaper. It mainly addresses the problem of filter design with ellipse disk pole constraintfor a class of linear systems by using linear matrix inequality and gives the methodsand numerical simulation. Fourth chapter studies the filter design for parameteruncertain system with ellipse disk pole constraints. Design method is given foruncertain linear system by using linear matrix inequalities. Numerical simulationshows that the method is effective and feasible. The fifth chapter addresses thenon-fragile mixed filter for a class of linear systems with parametric uncertainties.In all the research results, the primary work is the nonlinear matrix inequality istransformed into the form of linear matrix inequalities, and then calculated the designparameters of filter. Each chapter is accompanied by corresponding numericalsimulation. It tests the method of the paper is correct effective and feasible. Therehave a summary in the end of the paper.