A delay decomposition approach to H-infinity admissibility for discrete-time singular delay systems

作者：Shao, Yongyun; Liu, Xiaodong; Sun, Xin^*; Zhang, Qingling

来源：Information Sciences, 2014, 279: 893-905.

DOI：10.1016/j.ins.2014.03.029

• Discrete-time singular delay system
• Delay-dependent admissibility
• Bounded real lemma (BRL)
• Delay decomposition approach (DDA)

This paper considers the problem of delay-dependent admissibility condition and H-infinity performance analysis for discrete-time singular delay systems. By utilizing the delay decomposition approach, an improved delay-dependent admissibility condition is presented in terms of linear matrix inequalities (LMIs). This admissibility condition is much less conservative than some existing results and includes those as its special cases. Based on the proposed condition, a new delay-dependent bounded real lemma is also given, which guarantees the admissibility and the H-infinity performance. Numerical examples are given to illustrate the effectiveness of the proposed method.

• 出版日期2014-9-20
• 单位大连理工大学; 大连海事大学; 东北大学; 沈阳师范大学