15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
H∞ CONTROLLER DESIGN FOR SINGULARLY PERTURBED SYSTEMS BY DELTA OPERATOR APPROACH
Kyu-Hong Shim1, Chariya Loescharataramdee2, M. Edwin Sawan3
1 Sejong University, Seoul 143-747, Korea
2 King Mongkut Inst. of Tech., Bankok 10520, Thailand
3 Wichita State University, Wichita, KS 67260, U. S. A.

This paper presents a standard H∞ controller design for singularly perturbed systems with frequency domain by unified approach using the delta operators. Decomposition of the singularly perturbed systems into the fast and slow subsystems is shown. And the delta operator approach is implemented to improve a finite word-length (FWL) characteristics. The delta operator systems have the better FWL characteristics over the shift operator systems. The result is shown in the example.
Keywords: H∞ control, singularly perturbed systems, delta operator, finite word-length characteristics
Session slot T-Th-M21: Posters of Design Methods and Optimal Control/Area code 2b : Linear Systems