Necessary and sufficient condition for the newly introduced problem to find a strongly $F$-positive real rational interpolant for a two-sided interpolation problem are given, for some matrix $F$ to-be-found, as well as the set of all solutions. The strong $F$-positive realness of the interpolant $\mathit{H}$ implies that $\mathit{H}$ is bi-stable and bi-proper. Since such an interpolant is needed in the strong stabilization problem, the interpolation result is used to develop a control design algorithm, so that a stable stabilizing controller is constructed using the matrices $F$ and $\mathit{H}$. It is shown (also by examples) that the algorithm works with large-scale plants possessing both real and complex invariant zeros in $\Re \left[s\right]\ge 0$. The design algorithm is applied to the sugar mild process, and it is shown that the obtained controller is more suitable for practical implementation, in respect to the literature. By a simple analogy, it is shown that a minimum-phase stabilizing controller can be found by the same interpolation algorithm.

新引入的问题找到强的充要条件$F$-对于某些矩阵，给出了双边插值问题的正实有理插值$F$待发现的，以及所有解决方案的集合。强$F$-插值的正实性$\mathit{H}$暗示$\mathit{H}$是双稳态和双正确的。由于在强稳定问题中需要这样的插值，插值结果用于开发控制设计算法，从而使用矩阵构造稳定稳定控制器$F$和$\mathit{H}$. 它表明（也通过示例）该算法适用于具有实数和复数不变零点的大型植物$\Re \left[秒\right]\ge 0$. 将该设计算法应用到糖温和过程中，相对于文献表明，所得到的控制器更适合实际实现。通过一个简单的类比，表明可以通过相同的插值算法找到一个最小相位稳定控制器。