LMI-based H-infinity control for linear singular discrete systems: a novel method

作者：Dong, Xin-Zhuang^*

来源：IET Control Theory and Applications, 2013, 7(16): 2028-2036.

DOI：10.1049/iet-cta.2013.0197

• discrete systems
• H-a control
• linear matrix inequalities
• linear systems
• state feedback
• LMI-based H-a control
• linear singular discrete systems
• state feedback H-a control problem
• novel admissibility condition
• bounded real lemma
• existence condition
• explicit expression

This study investigates the problem of state feedback H control for linear singular discrete systems. First, a novel admissibility condition and then a new bounded real lemma are proposed for linear singular discrete systems. Then, the existence condition and explicit expression of a desirable state feedback H controller are obtained based on the above results. It should be pointed out that all the conditions in this study are necessary and sufficient and in the form of strict linear matrix inequalities that can be solved easily. Finally, some numerical examples are provided to illustrate the effectiveness of the theoretical results in this study.

• 出版日期2013-11-7
• 单位青岛大学