Parameticapproach For State Observer Design In Descriptor Systems

With the increasingly deep research of modern control theory, general systemtheory has extensive application background. In the nineteenth seventy, generalsystems theory is concerned by many scholars at home and abroad. Based on thegeneralized system theory, this paper systematically studies in observer designingparameterization method of full dimensional generalized system, mainly includingthe following two aspects:First, the paper analyzes how to design the generalized system withfull-dimensional observer parametric approach in the absence of perturbations,According to the generalized system model, by re-constructing the system, wemakes them form a new closed-loop system. Through the use of analytic solutions ofmatrix equation AV BW EVFand singular value matrix transformation, we canget the parameters of the closed-loop eigenvectors and its matrix L. Thus, wepropose a parametric approach of the generalized system of full-dimensionalobserver designing, and through the corresponding numerical examples to illustratethe superiority of this method. This method is not only simple and feasible, but alsobeing good numerical properties.Secondly, this paper studied robustness full-dimensional observer parametricapproach with some disturbed designing based on the parameters, and someparameters perturbation structure is known. First, we created sensitivity indicatorsof the closed-loop eigenvalues in generalized system robustness. We find the indexfunction J for thef iderivative vector of parameters, eigenvalues iincluding real andcomplex numbers, which give the corresponding parameters form. Secondly, the useof the sensitivity indicators and placement results of the pole parameters, we hasgiven robustness full-dimensional generalized systems observer designing withobvious parameter expression. Finally, the paper catches up with a simple andeffective system robustness full-dimensional generalized observer parametricdesigning method and the corresponding numerical examples.