This paper considers the problem of set-membership estimation for discrete-time linear time-varying descriptor systems subject to unknown but bounded disturbance and noise. We propose a set-membership estimation method based on a descriptor system observer and a zonotopic estimator of the observer error bounds. The observer parameters are optimized in order to minimize the sizes of the zonotopes enclosing all admissible state trajectories. Finally, two simulation results are provided to demonstrate the effectiveness of the proposed method.

中文翻译：

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线性时变描述符系统的集合成员估计

本文考虑了具有未知但有界干扰和噪声的离散时间线性时变描述符系统的集合成员估计问题。我们提出了一种基于描述符系统观察者和观察者误差范围的区域局部估计器的集合成员估计方法。优化了观察者参数，以最小化包围所有可允许状态轨迹的环带的尺寸。最后，提供了两个仿真结果，证明了该方法的有效性。