Stabilization via a Robust Observer: Tolerable Uncertainty Configurations

这项行动涉及从罗切斯特大学向威斯康星大学麦迪逊分校转移一个由国家科学基金会资助的关于稳健稳定问题的项目，该项目由罗切斯特大学提供ECS-8311290资助。特别是，对于参数具有不确定性的系统，当使用观测器(一种结构，当系统状态不是全部可直接测量时，允许估计系统状态)来控制这些系统时，已经开发出这些系统的稳健界。给出了参数变化的范数界，当这些范数变化时，整个系统是稳定的。此外，还发展了将经典分离定理推广到参数和控制具有不确定性的系统的条件，这些参数和控制是状态估计的某些非线性函数。

This action is concerned with the transfer of a project on the robuststabilization problem supported under NSF grant ECS-8311290 from the University of Rochester to the University of Wisconsin-Madison. In particular, robustness bounds have been developed for systems with uncertainties in the parameters when these systems are controlled using an observer (a construct which allows the estimation of the system states when they are not all directly measurable). Norm bounds on the parameter variations have been developed which, whensatisfied lead to stability of the overall system. In addition, conditions have been developed which allow the extension of the classical separation theorem to systems with uncertainties in the parameters and controls which are certain nonlinear functions of the state estimates.