Analysis and Synthesis of Singular Systems

Chapter 4: Delay-dependent admissibility and $H_{\infty }$ control of discrete singular delay systems

Abstract

The admissibility analysis and $H_{\infty }$ control problems are solved for discrete-time singular systems with time delay. Firstly, a less conservative admissibility condition is proposed by utilizing the improved reciprocally convex combination method. Secondly, the delay-partitioning method is introduced to deal with time delay. The admissibilization and $H_{\infty }$