Randomized Algorithm for Determining Stabilizing Parameter Regions for General Delay Control Systems

Chao Yu, B. Le, Xian Li, Qing‐Guo Wang
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引用次数: 2

Abstract

This paper proposes a method for determining the stabilizing parameter regions for general delay control systems based on randomized sampling. A delay control system is converted into a unified state-space form. The numerical stability condition is developed and checked for sample points in the parameter space. These points are separated into stable and unstable regions by the decision function obtained from some learning method. The proposed method is very general and applied to a much wider range of systems than the existing methods in the literature. The proposed method is illustrated with examples.
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一般时滞控制系统稳定参数区域的随机化确定算法
提出了一种基于随机抽样确定一般时滞控制系统稳定参数区域的方法。将时滞控制系统转化为统一的状态空间形式。建立了参数空间中采样点的数值稳定性条件,并对其进行了检验。通过一些学习方法得到的决策函数将这些点划分为稳定和不稳定区域。所提出的方法是非常普遍的,适用于更广泛的系统比现有的方法在文献中。用实例说明了所提出的方法。
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