15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
DESIGN OF DIGITAL MIMO CONTROL SYSTEMS WITH TWO-TIME-SCALE MOTIONS
Valery D. Yurkevich
Automation Department, Novosibirsk State Technical University
Novosibirsk, 630092, Russia, E-mail: yurkev@ac.cs.nstu.ru

The systematic approach of designing a robust sampled-data controller to solve output regulation problem for a MIMO nonlinear systems with unknown external disturbances and varying parameters is presented. The design methodology is based on the construction of two-time-scale motions in the closed-loop system. It has been shown that the proposed dynamical controller with a sufficiently small sampling period induces a two-time-scale separation of the fast and slow modes in the closed-loop system. Stability conditions imposed on the fast and slow modes and small sampling period can ensure that the full-order closed-loop system achieves the desired properties so that the output transient performances are desired and insensitive to parameter variations and external disturbances. Finally, an example with simulation results is presented.
Keywords: sampled-data systems, robust control, output regulation, disturbance rejection, singular perturbation method
Session slot T-Tu-M21: Posters of Control Design/Area code 2a : Control Design