Robust stabilization of uncertain descriptor fractional-order systems
Robust stabilization of uncertain descriptor fractional-order systems
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DOI：
10.1016/j.automatica.2013.02.066
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发表时间：
2013-06
期刊：
影响因子：
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通讯作者：
I. N’Doye;M. Darouach;M. Zasadzinski;N. Radhy
中科院分区：
文献类型：
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作者：
I. N’Doye;M. Darouach;M. Zasadzinski;N. Radhy
给出了分数阶α满足0<α<2的不确定广义分数阶系统鲁棒渐近镇定的充分条件。所得结果用线性矩阵不等式表示。假设参数不确定性是时不变的，并且出现在状态矩阵中。利用线性矩阵不等式（LMI）方法，给出了不确定广义分数阶系统归一化的一个充分必要条件。对于分数阶α为0<α<2的不确定广义分数阶系统，给出了鲁棒镇定的状态反馈控制方法。两个数值例子来证明所提出的方法的适用性。
This paper presents sufficient conditions for the robust asymptotical stabilization of uncertain descriptor fractional-order systems with the fractional order α satisfying 0<α<2. The results are obtained in terms of linear matrix inequalities. The parameter uncertainties are assumed to be time-invariant and norm-bounded appearing in the state matrix. A necessary and sufficient condition for the normalization of uncertain descriptor fractional-order systems is given via linear matrix inequality (LMI) formulation. The state feedback control to robustly stabilize such uncertain descriptor fractional-order systems with the fractional order α belonging to 0<α<2 is derived. Two numerical examples are given to demonstrate the applicability of the proposed approach.