论文标题
一种基于LMI的新型方法，用于以$ 1 \leα<2 $ $ 1的分数间隔系统稳定稳定
A novel LMI-based Method for Robust Stabilization of Fractional-order Interval Systems with $1\leα<2$
论文作者
论文摘要
本文讨论了与分数订单$ 1 \leα<2 $的鲁棒动态输出反馈稳定稳定稳定。在这项研究中，使用线性基质不等式（LMI）提出了基于系统矩阵的空空间分析的新公式。应用的不确定模型是线性间隔系统的最完整模型，其中所有系统矩阵都是间隔矩阵。设计了一个鲁棒的动态输出反馈控制器，该控制器渐近地稳定了稳定的fo-lti系统，在该系统中不假定在不确定系统的状态空间矩阵上假设限制约束。最终，提出了一个数值示例，以证明理论结果的有效性和正确性。
This paper deals with the problem of robust dynamic output feedback stabilization of interval fractional-order linear time invariant (FO-LTI) systems with the fractional order $1\leα<2$. In this study, a new formulation based on the null-space analysis of the system matrices is proposed using linear matrix inequalities (LMIs). The applied uncertain model is the most complete model of linear interval systems, in which all of the systems matrices are interval matrices. A robust dynamic output feedback controller is designed that asymptotically stabilizes the interval FO-LTI system, where no limiting constraint is assumed on the state space matrices of the uncertain system. Eventually, a numerical example with simulations is presented to demonstrate the effectiveness and correctness of the theoretical results.
