论文标题
在存在零星测量的情况下，LTV系统的有界纠正限制状态估计
Bounded-error constrained state estimation of LTV systems in presence of sporadic measurements
论文作者
论文摘要
这项贡献提出了一种用于椭圆形状态表征的递归设置会员方法，用于具有添加性未知干扰矢量的离散时间线性时间变化模型，该模型受可能退化的界限和多面体的限制，分别影响了状态进化方程，并且sporadic测量量为lineal contection contection and linative and equartive and equartition contelative and equection in equection inseptive and eqeeption in equection和等值。考虑到前所未有的事实，即由于相等性的约束，椭圆形的形状矩阵表征了状态向量的所有值是不可逆转的，因此设计了新的算法。在时间更新步骤中检查了两个主大小最小化标准（平方轴长度和平方轴长度的总和），以及在观察更新中，除了第三条之外，还可以最大程度地减少某些误差规范并确保估计错误的输入到状态稳定性。作者的论文[1]和[2]被合并为更长，更全面的版本。它包括所有证明和几张图像，并将为读者提供支持。没有介绍，没有结论，也没有申请示例。
This contribution proposes a recursive set-membership method for the ellipsoidal state characterization for discrete-time linear time-varying models with additive unknown disturbances vectors, bounded by possibly degenerate zonotopes and polytopes, impacting respectively, the state evolution equation and the sporadic measurement vectors, which are expressed as linear inequality and equality constraints on the state vector. New algorithms are designed considering the unprecedented fact that, due to equality constraints, the shape matrix of the ellipsoid characterizing all possible values of the state vector is non invertible. The two main size minimizing criteria (volume and sum of squared axes lengths) are examined in the time update step and also in the observation updating, in addition to a third one, minimizing some error norm and ensuring the input-to-state stability of the estimation error. The author's papers [1] and [2] were combined into this longer, more comprehensive version. It includes all the proofs and a few images and is meant to be a support for the reader. There is no introduction, no conclusion, and no application examples.
