An \(H^\infty\) output feedback control for discrete-time state-delayed systems (Q1882420)

A coprime factorization approach to \(H_{\infty}\) controller design for discete-time state-delayed systems is developed. The coprime factors that are generated by the present factorizations possess the same delayed state as that of the original system. This property, together with the well-known Youla parametrization and the chain scattering matrix setting, provides a relatively simple method for obtaining a familly of internally stabilizing \(H_{\infty}\) output feedback controllers. Also conditions of \((J,J')\)-conjugate and \((-J,-J')\)-losslessness for discrete-time state-delayed systems are developed. A numerical example is given to illustrate the validity and applicability of the proposed approach.