
Accession Number : ADA302586
Title : State Controllability Techniques for Linear TimeVarying Discrete Systems.
Descriptive Note : Final rept. Jan 94Jan 95,
Corporate Author : ARMY COMMUNICATIONSELECTRONICS COMMAND FORT BELVOIR VA
Personal Author(s) : Matthews, Mark G.
PDF Url : ADA302586
Report Date : MAR 1995
Pagination or Media Count : 117
Abstract : This report describes the results of original research in the control of linear systems. 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 timevarying 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 timevarying 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 timevarying discrete systems is developed. (AN)
Descriptors : *MATHEMATICAL MODELS, *LINEAR SYSTEMS, *CONTROL THEORY, STABILIZATION, ALGORITHMS, OPTIMIZATION, COMPUTATIONS, TIME DEPENDENCE, MULTIVARIATE ANALYSIS, MATRICES(MATHEMATICS), INPUT OUTPUT PROCESSING, EIGENVALUES, MATHEMATICAL PROGRAMMING, TRANSFORMATIONS(MATHEMATICS), FEEDBACK, SAMPLING, SYSTEMS ANALYSIS, APPLIED MATHEMATICS, CLOSED LOOP SYSTEMS, ASYMPTOTIC NORMALITY.
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE