论文标题
在具有非经典约束的分析插值上，以解决稳健控制中的问题
On analytic interpolation with non-classical constraints for solving problems in robust control
论文作者
论文摘要
在这项工作中，我们考虑了不确定的动态系统的稳定稳定，并表明这可以通过解决非经典约束的分析插值问题来实现。特别是，这种非古典约束将插入术的范围限制在假想轴上评估时，限制在频率依赖的集合中。通过考虑在此插值问题具有解决方案时的足够条件，我们得出了一种近似解决方案算法，该算法也可以用于控制器合成。最后，该理论在数字示例中进行了说明，其工厂具有不确定的增益，相位和输出延迟。
In this work we consider robust stabilization of uncertain dynamical systems and show that this can be achieved by solving a non-classically constrained analytic interpolation problem. In particular, this non-classical constraint confines the range of the interpolant, when evaluated on the imaginary axis, to a frequency-dependent set. By considering a sufficient condition for when this interpolation problem has a solution, we derive an approximate solution algorithm that can also be used for controller synthesis. Finally, the theory is illustrated on a numerical example with a plant with uncertain gain, phase, and output delay.
