This letter addresses the constrained target tracking problem based on the approach of the trajectory function of time (T-FoT). Both state equality and inequality constraints such as the trajectory geometry and width are considered, respectively. The penalty function is used in the T-FoT framework to account for the constraint. Specifically, the logarithmic barrier function is used to solve the challenging inequality constraint. Different from existing works which are mostly based on constrained Bayesian filters, our approaches make full use of constraints with little approximation. Three representative scenarios have been considered in the simulation for demonstrating the performance of our proposed approaches in comparison with existing constrained approaches based on Bayes filters.

中文翻译：

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基于时间轨迹函数的等式/不等式约束目标跟踪

这封信解决了基于时间轨迹函数（T-FoT）方法的约束目标跟踪问题。分别考虑状态相等和不等约束，例如轨迹几何形状和宽度。T-FoT 框架中使用惩罚函数来解释约束。具体来说，对数障碍函数用于解决具有挑战性的不等式约束。与现有的主要基于约束贝叶斯滤波器的工作不同，我们的方法充分利用了几乎没有近似的约束。模拟中考虑了三个代表性场景，以证明我们提出的方法与基于贝叶斯滤波器的现有约束方法的性能。