Delay-dependent Robust Stabilization for Uncertain Singular Systems with Multiple Input Delays
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摘要: 研究具有多输入时滞及参数不确定性的广义系统的时滞相关鲁棒镇定问题. 首先利用LMI给出相应的标称系统的时滞相关镇定准则. 然后, 基于这个准则, 设计状态反馈控制器, 使得对任何允许的不确定参数相应的闭环系统是正则, 稳定, 无脉冲的. 最后的数值算例表明所提方法是有效的.Abstract: In this paper, the problem of delay-dependent robust stabilization is investigated for singular systems with multiple input delays and admissible uncertainties. First, an improved delay-dependent stabilization criterion for the nominal system is established in terms of linear matrix inequalities (LMIs). Then, based on this criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free, and stable for all admissible uncertainties. Numerical examples are provided to illustrate the effectiveness of the proposed method.
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Key words:
- Delay-dependent /
- stability /
- robust stabilization /
- singular systems /
- multiple input delays
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