15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
DECOMPOSITION FEEDBACK STABILIZATION OF SYSTEMS WITH DELAY
Alexandr G. Loukianov*, B. Castillo-Toledo*, J. Escoto Hernández*,
and Vadim I. Utkin**
* CINVESTAV del IPN, Apdo. Postal 31-438, C.P. 44550,
Guadalajara, Jal, México, e-mail: louk[toledo]@gdl.cinvestav.mx
** Department of Electrical Engineering, The Ohio-State University,
Columbus, Ohio 43210-1272, e-mail: utkin@ee.eng.ohio-state.edu)

This paper applies the block control method to design a decomposed finite spectrum assignment control law suitable for multivariable linear time-delay systems. A block controllable form is introduced and a non-singular transformation that reduces the system to this form is proposed. Conditions of stability of the closed-loop system are derived.
Keywords: multivariable linear control systems, decomposition method, delay compensation.
Session slot T-Fr-A18: Time delay systems/Area code 2b : Linear Systems