Title :
Linear functional observers for systems with delays in state variables
Author_Institution :
CRAN, IUT de Longwy, France
fDate :
3/1/2001 12:00:00 AM
Abstract :
This paper is concerned with the design of linear functional state observers for systems with delays in state variables. In particular, the necessary and sufficient conditions for the existence of the rth-order observers are given. Sufficient conditions for the stability dependent of delays and stability independent of delays are derived using linear matrix-in-equality formulation. A systematic design method of these observers is presented. Numerical examples are given to illustrate this method
Keywords :
delay-differential systems; delays; linear systems; matrix algebra; observers; stability; delays; existence conditions; linear differential-delay system; linear functional state observers; linear matrix-in-equality; necessary and sufficient conditions; observers without internal delays; rth-order observers; stability; state variables; Control systems; Delay effects; Delay systems; Design methodology; Observers; Stability; State estimation; Sufficient conditions; Systems engineering and theory; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
