Stabilization via a Robust Observer: Tolerable Uncertainty Configurations

这一行动涉及转让一个项目， 鲁棒稳定问题得到NSF资助ECS-8311290的支持， 从罗切斯特大学到威斯康星大学麦迪逊分校。 在 特别是，鲁棒性界限已开发的系统， 当这些系统被控制时，参数的不确定性 观测器（允许系统估计的构造 当它们都不是直接可测量的时的状态）。 上的范数界 已经开发了参数变化，当满足时， 整个系统的稳定性。 此外， 发展允许经典分离定理的扩展 对于参数和控制具有不确定性的系统， 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.