具有输入干扰的模型集随机检验

Model validation with input perturbations in a stochastic environment

为了解决面向鲁棒控制的模型集的闭环随机检验问题,该文讨论了具有输入干扰的线性分式扰动模型集的随机检验问题。应用线性代数方法通过对模型集进行讨论,根据一个模型集与对象频域输入输出数据相一致的充要条件,建立了模型集点非伪概率的解析表达式。数值仿真表明点非伪概率体现了模型集与系统真实动态之间的包含关系。

In order to solve problem of robust control oriented model set validation with a closed control loop in a stochastic environment, an analysis was developed to validate a model set described by a linear fractional transformation with input perturbations in a stochastic environment. Linear algebra was used to derive an analytical expression for its point unfalsified probability, for the necessary and sufficient condition of the model set being consistent with the frequency domain input-output data. Numerical simulations show that the point unfalsified probability accurately expresses the relationship between the model set and the real system dynamics.