Asymptotic Tracking Control For Linear Descriptor Systems

Generalized system is a kind of more general than the normal system of the powersystem, has a broad application background, Since the1970s, the generalized systemhas been the concern of many scholars at home and abroad and has made extensiveresearch. Tracking control is an important problem in the control theory and controlengineering, asymptotic tracking of the generalized system is studied in this tissue, themain work is as follows:Firstly, Study on the asymptotic tracking control problem for descriptor linearsystems, In the controlled system is able to control and can view, the model system isregular, impulse and stable situation, asymptotic tracking controller is designed and thesufficient conditions for the existence of the controller is given, and the controller by theoutput feedback stabilization controller and the track is composed of the compensator.On this basis, through the complete parameter tracking compensator of coefficientmatrix is given to solve the matrix algebra equation, the pole placement method givesthe output feedback stabilization controller coefficient matrix, then calculate theasymptotic tracking controller. Finally, an example is given to illustrate the effectivenessof the method.Secondly, research on robust asymptotic tracking control problem for descriptorlinear systems, the problem solving method is given. The basic idea of the method is inunder the condition of parameter perturbation for asymptotic tracking control ratemakes the tracking error as close to zero as possible, therefore, based on the parametershave been completely tracking compensation coefficient matrix representation,established a robust asymptotic tracking of the objective function, gradient formula ofobjective function are presented and then solve the problem by minimizing the objectivefunction to solve the robust asymptotic tracking control problem. Finally, through aspecific example to illustrate the method is reasonable and effective.