15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
THE PARAMETERIZATION OF ALL STABILIZING REPETITIVE CONTROLLERS FOR A CERTAIN CLASS OF NON-MINIMUM PHASE SYSTEMS
Kou Yamada* Keiji Satoh* Tadashi Okuyama**
* Gunma University, 1-5-1 Tenjincho, Kiryu, Japan
** Shonai College of Industry and Technology, 3-57-4 Kyoden,
Sakata, Japan

We give an explicit parameterization of all causal stabilizing repetitive controllers for single-input and single-output continuous time non-minimum phase systems of a certain class. When the plant meets certain conditions, using the parallel compensation technique, we obtain the parameterization of all repetitive controllers. Finally, a numerical example shows the effectiveness of this parameterization.
Keywords: parameterization, interpolation problem, strong stability, parallel compensation, inverse system
Session slot T-Tu-M16: New Approaches to Controller Design/Area code 2a : Control Design