On the transformation of time-variable systems to the phase-variable canonical form

1 August 1969

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 14 (4) , 417-419
https://doi.org/10.1109/tac.1969.1099215

Abstract

The problem of transforming a single-input single-output time-variable linear system to the phase-variable canonical form has been considered. A simpler method of finding the transformation matrix is presented. Also, a different proof is given to show that uniform controllability is a necessary and sufficient condition for a nonsingular transformation to exist.

Keywords

CONTROL SYSTEMS
LINEAR SYSTEMS
EQUATIONS
BOUNDARY CONDITIONS
MIMO
STATE FEEDBACK
LINEAR FEEDBACK CONTROL SYSTEMS
CONTROLLABILITY
SUFFICIENT CONDITIONS

This publication has 2 references indexed in Scilit:

Transformation to the phase-variable canonical form
IEEE Transactions on Automatic Control, 1968
Transformation of time-variable systems to canonical (phase-variable) form
IEEE Transactions on Automatic Control, 1966