论文标题
基于约束的划界的联合状态和参数估计
Joint state and parameter estimation based on constrained zonotopes
论文作者
论文摘要
本说明为使用受约束的分子型提出了一种基于设置的联合状态和离散时间系统的参数估计的新方法。这是通过将基于基于集合的状态估计方法扩展到统一框架中包括参数标识的。与基于间隔的方法不同，状态和模型参数之间的现有依赖关系是从一个时间步骤到下一步的，因此提供了更准确的估计方案。此外，使用广义交叉点的测量结果可以完善状态和参数的围栏，这些交叉点由约束的地位构成正确捕获。新方法的优势在两个数字示例中突出了。
This note presents a new method for set-based joint state and parameter estimation of discrete-time systems using constrained zonotopes. This is done by extending previous set-based state estimation methods to include parameter identification in a unified framework. Unlike in interval-based methods, the existing dependencies between states and model parameters are maintained from one time step to the next, thus providing a more accurate estimation scheme. In addition, the enclosure of states and parameters is refined using measurements through generalized intersections, which are properly captured by constrained zonotopes. The advantages of the new approach are highlighted in two numerical examples.
