A chain-scattering matrix approach to the H^∞ output feedback control for state-delayed systems

Abstract

A state-space coprime factorization approach to the H ^∞ controllers design for state-delayed systems is developed. The coprime factors that are generated by the present factorization possess the same delayed state as that of the original system. This property, together with the well-known Youla parameterization and the chain-scattering matrix description, provides a relatively simple method to obtain a family of the internally stabilizing H ^∞ output feedback controllers. A numerical example is given to demonstrate the validity and the applicability of the proposed approach.

Acknowledgment

This work was supported by the National Science Council, R.O.C., under contract NSC 92-2213-E-238-002.