In the context of state estimation of dynamical systems subject to bounded perturbations and measurement noises, this paper proposes an application of a guaranteed ellipsoidal-based set-membership state estimation technique to estimate the linear position of an octorotor used for radar applications. The size of the ellipsoidal set containing the real state is minimized at each sample time taking into account the measurements performed by the drone's sensors. Three case studies highlight the efficiency of the estimation technique in finding guaranteed bounds for the octorotor's linear position. The computed guaranteed bounds in the linear trajectory are exploited to find the maximum operating frequency of the radar, a necessary information in radar applications.

中文翻译：

---

用于雷达应用的八旋翼位置的保证集合成员状态估计

在受有界扰动和测量噪声影响的动态系统的状态估计的背景下，本文提出了一种基于保证椭球的集合成员状态估计技术的应用，以估计用于雷达应用的八旋翼的线性位置。考虑到无人机传感器执行的测量，包含真实状态的椭圆体集的大小在每个采样时间被最小化。三个案例研究突出了估计技术在寻找八旋翼线性位置保证界限方面的效率。利用线性轨迹中计算出的保证边界来找到雷达的最大工作频率，这是雷达应用中的必要信息。