Delayed State Feedback Control for Singular Plants with Device Delay

In this paper, an H∞ state feedback control problem for a discrete–time singular plant with device delay is considered. The device delay often appears in computer based control systems, networked circuits systems, communication systems, process control systems and so on. And the state feedback control law is supposed to include possible time varying transmission delay within an interval. In this case, we derive a set of LMI-based sufficient conditions for the analysis and the delayed controller synthesis problems, respectively, via a finite sum inequality approach. In order to show the efficiency of the proposed method, a numerical example is presented at the end of this paper.