线性分式不确定时变时滞奇异系统的鲁棒稳定性分析

摘要

The robust stability problem for uncertain singular systems with two additive time-varying delay components is considered. The uncertainty under consideration is of a linear fractional form. The state-space systems that contain multiple successive state delays are generalized to singular systems. Via linear matrix inequality (LMI) approach, a delay-dependent stability criterion is given to ensure the singular system is regular, impulse free and stable for all admissible uncertainties. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.%研究带有两个时变时滞不确定奇异系统的鲁棒稳定性问题,不确定是线性分式形式.最近,一种包含多个时滞的模型被提出.把此模型推广到奇异系统,通过线性矩阵不等式方法,给出使系统正则,无脉冲和稳定的时滞相关判据.数值例子表明了所提出方法的有效性和优越性.