Accession Number : AD0672758

Title :   USE OF THE COMPANION TRANSFORMATION IN PARAMETER OPTIMIZATION AND ADAPTIVE CONTROL,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Wilkie,Dennis Frank

Report Date : JUL 1968

Pagination or Media Count : 86

Abstract : The transformation to companion canonic form for single-input, linear, time-invariant systems is shown to have important applications in the sensitivity analysis of control systems as well as in parameter optimization and model reference adaptive control problems. Two previously unknown properties of a system in companion form are demonstrated. These are the Total Symmetry Property of the sensitivity matrix of a system in companion form and the Complete Simultaneity Property. The latter states that all the sensitivity functions of the states of a companion form system can be generated by linear combinations of the signals on one sensitivity model of the system and the system states. (Author)

Descriptors :   (*CONTROL SYSTEMS, SENSITIVITY), ADAPTIVE SYSTEMS, OPTIMIZATION, TRANSFORMATIONS(MATHEMATICS), ALGORITHMS, FEEDBACK, MATRICES(MATHEMATICS), THESES

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE