Delay-Dependent Passivity and Passification for Uncertain Singularly Perturbed Markovian Jump Systems with Time-Varying Delay

作者：Wang, Yueying; Wang, Quanbao^*; Zhou, Pingfang; Duan, Dengping

来源：Circuits, Systems, and Signal Processing, 2012, 31(6): 2179-2194.

DOI：10.1007/s00034-012-9427-9

• Singularly perturbed systems
• Markovian jump systems
• Passivity
• Time delay
• Linear matrix inequality (LMI)

This paper is concerned with passivity analysis and passivity-based controller design for uncertain singularly perturbed Markovian jump systems with time-varying delay in an interval. Firstly, a delay-dependent condition for the considered system to be mean-square exponentially stable and robustly passive is derived in terms of linear matrix inequality. Then, the passification problem is investigated. Based on the obtained passivity condition, the existence of the desired state feedback controller is established. Numerical examples are presented to show the effectiveness of the proposed method.

• 出版日期2012-12
• 单位上海交通大学