Robust Stabilization of Delayed Singular Systems with Linear Fractional Parametric Uncertainties
Robust Stabilization of Delayed Singular Systems with Linear Fractional Parametric Uncertainties
复制标题
DOI：
10.1007/s00034-003-1218-x
复制
发表时间：
2003-12
期刊：
影响因子：
--
通讯作者：
Shaosheng Zhou;J. Lam
中科院分区：
文献类型：
--
作者：
Shaosheng Zhou;J. Lam
研究了具有参数不确定性的时滞广义系统的鲁棒镇定问题。假设参数不确定性是涉及所有系统矩阵的线性分式形式。得到了二次稳定和二次镇定的充要条件。此外，所得结果推广和改进了前人关于范数有界参数不确定时滞广义系统的研究工作。提出了一种严格的线性矩阵不等式(LMI)设计方法，使得当LMI满足时，可以构造期望的鲁棒状态反馈控制律。最后给出了一个数值算例，说明了该方法的应用。
This paper deals with the problem of robust stabilization for delayed singular systems with parametric uncertainties. The parametric uncertainties are assumed to be of a linear fractional form involving all system matrices. Necessary and sufficient conditions for quadratic stability and quadratic stabilization are obtained. Moreover, the results generalize and improve previous works on delayed singular systems with norm-bounded parametric uncertainties. A strict linear matrix inequality (LMI) design approach is developed such that, when the LMI is satisfied, a desired robust state feedback control law can be constructed. A numerical example is provided to demonstrate the application of the proposed method.