Observer-based robust control of a (1⩽ a ≪ 2) fractional-order uncertain systems: a linear matrix inequality approach
Observer-based robust control of a (1⩽ a ≪ 2) fractional-order uncertain systems: a linear matrix inequality approach
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DOI：
10.1049/iet-cta.2010.0484
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发表时间：
2012-01
影响因子：
2.6
通讯作者：
Y. Lan;Hongmei Huang;Yong Zhou
中科院分区：
文献类型：
--
作者：
Y. Lan;Hongmei Huang;Yong Zhou
该研究涉及基于线性矩阵不等式（LMI）方法的分数相称阶a（1≤a<2）的分数阶不确定线性系统的基于观测器的控制方法。首先，提出了基于观测器的分数阶控制系统鲁棒渐近稳定性的充分条件。接下来，利用矩阵奇异值分解和LMI技术，推导了针对此类分数阶控制系统设计鲁棒观测器控制器的存在条件和方法。与以前的方法不同，结果是根据 LMI 获得的，可以通过 Matlab 的 LMI 工具箱轻松获得。最后，通过数值例子证明了该方法的有效性。
The study is concerned with a method of observer-based control for fractional-order uncertain linear systems with the fractional commensurate order a (1≤a<2) based on linear matrix inequality (LMI) approach. First, a sufficient condition for robust asymptotic stability of the observer-based fractional-order control systems is presented. Next, by using matrix's singular value decomposition and LMI techniques, the existence condition and method of designing a robust observer-based controller for such fractional-order control systems are derived. Unlike previous methods, the results are obtained in terms of LMIs, which can be easily obtained by Matlab's LMI toolbox. Finally, a numerical example demonstrates the validity of this approach.