Non-fragile dynamic output feedback H ∞ control for discrete-time systems with FWL consideration

Abstract

The non-fragile dynamic output feedback H ∞ controller design problem is investigated. The controller to be designed is assumed to be with additive gain variations. A two-step procedure is proposed to develop sufficient conditions for the non-fragile H ∞ controller design by employing the structured vertex separator. A comparison between the proposed and the existing controller design methods is provided, and a numerical example is carried out to support the theoretical findings.