A delay-dependent bounded real lemma for singular LPV systems with time-variant delay

作者：Li Fanbiao; Zhang Xian^*

来源：International Journal of Robust and Nonlinear Control, 2012, 22(5): 559-574.

DOI：10.1002/rnc.1714

• singular LPV systems
• time-variant delay
• bounded real lemma
• stability

This paper is concerned with establishing a delay-dependent bounded real lemma (BRL) for singular linear parameter-varying (LPV) systems with time-variant delay. In terms of linear matrix inequality, a delay-dependent BRL is presented to ensure singular time-delay LPV systems to be admissible and satisfy a prescribed H8 performance level. The BRL is obtained based on the construction of a parameter-dependent LyapunovKrasovskii functional. The effectiveness of the proposed approach is shown by several numerical examples.

• 出版日期2012-3-25
• 单位黑龙江大学