H ∞ -Stability Analysis of (Fractional) Delay Systems of Retarded and Neutral Type with the Matlab Toolbox YALTA
H ∞ -Stability Analysis of (Fractional) Delay Systems of Retarded and Neutral Type with the Matlab Toolbox YALTA
复制标题
H ∞ - 使用 Matlab 工具箱 YALTA 进行延迟型和中性型（分数）时滞系统的稳定性分析
DOI：
10.1007/978-3-319-01695-5_21
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Le Ha Vy Nguyen
中科院分区：
文献类型：
--
作者：
David Avanessoff;A. Fioravanti;C. Bonnet;Le Ha Vy Nguyen
YALTA是一个Matlab工具箱，专门用于经典和分数系统的h∞稳定性分析，其传递函数给出相应的延迟，其二进制文件可以下载：//team.inria.fr/disco/software/。研究了时滞型和中性型时滞系统。给出了高模极点的渐近位置。对于一个固定的已知延迟，用pad<s:1> -2格式逼近了标准延迟系统的小模极点。对于从零到给定正值的时滞，给出了稳定性窗口和根轨迹。我们描述了我们如何绕过在[6,8]中开发的算法的数值问题，并给出了几个例子。
YALTA is a Matlab toolbox dedicated to theH∞-stability analysis of classical and fractional systems with commensurate delays given by their transfer function, whose binary can be downloaded athttp://team.inria.fr/disco/software/. Delay systems of both retarded and neutral type are considered. The asymptotic position of high modulus poles is given. For a fixed known delay, poles of small modulus of standard delay systems are approximated through a Padé-2 scheme. For a delay varying from zero to a prescribed positive value, stability windows as well as root loci are given. We describe how we have circumvented the numerical issues of algorithms developed in [6, 8] and several examples are given.