Date of Award
Spring 1967
Document Type
Thesis - Restricted
Degree Name
Master of Science (MS)
Department
Electrical and Computer Engineering
First Advisor
Blank, Gary L.
Second Advisor
Ishii, Thomas K.
Abstract
This thesis is concerned with the modern control theory concept of observability and its relationship with Kalman optimal and suboptimal linear estimation theory. The interrelation between the accuracy of suboptimization and the degree of observability for dynamical systems is demonstrated with a second order model. The accuracy of suboptimization is determined by comparing the diagonal elements in the covariance matrix of the optimal estimation error with the corresponding diagonal elements in the covariance matrix of the suboptimal estimation error . The percentage err or between these elements is plotted for a parameter variation in the model. The degree of observability is measured by the magnitude of a "loss function." This loss function is plotted for the same variation in the model parameter. It is verified in the thesis that if the two state variables of the second model are not observable, then the error between optimal and suboptimal linear estimation is a minimum.
Recommended Citation
Householder, John W., "The Relationship between the Accuracy of Suboptimization and the Degree of Observability of a Second Order System" (1967). Master's Theses (1922-2009) Access restricted to Marquette Campus. 4844.
https://epublications.marquette.edu/theses/4844