State Controllability Techniques for Linear Time-Varying Discrete Systems

摘要

This report describes the results of original research in the control of linearsystems. Contributions which advance control theory are made in the areas of discretization, controllability, canonical transformation, state feedback, and stabilization. A new approach to control linear time-varying continuous systems which do not satisfy the property of lexicografixed controllability is provided. It involves the discretization of the continuous system and the selection of a sampling period to make the resulting discrete system lexicografixedly controllable in discrete time. Methods are developed to control and stabilize the resulting linear time-varying discrete system. A controllability theorem is introduced and its associated matrix derived. Finally, a state feedback technique used to asymptotically stabilize a subclass of linear time-varying discrete systems is developed. (AN).