LMI based reduced-order controllers for mixed H²⁺/H^∞ control problems - discrete-time case

Reduced-order controllers for a class of mixed H²⁺/H^∞ control problems in discrete-time case is considered. For singular plants with infinite zeros, the existence of reduced-order controllers via LMI approach is proved, and the feasible and explicit design procedures for constructing the reduced-orders controller are given which only involve simple transformations and convex optimization of LMI.