In this paper we are interested in the problem of state observation of state-affine nonlinear systems. It is well-known that observability of the system is a necessary assumption for the state reconstruction. Our main contribution is to prove that it is also sufficient to design a globally exponentially stable observer This should be contrasted with existing results that require the strictly stronger assumption of uniform complete observability of the system. To the best of the authors’ knowledge this is the first time such a result is reported in the literature.

中文翻译：

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可观测性足以用于状态仿射非线性系统的全局指数稳定状态观测器的设计

在本文中，我们对状态仿射非线性系统的状态观察问题感兴趣。众所周知，系统的可观测性是状态重构的必要假设。我们的主要贡献是证明设计一个全局指数稳定的观测器也是足够的。这应该与现有结果形成对比，现有结果需要对系统的均匀完全可观测性进行严格更强的假设。据作者所知，这是第一次在文献中报道这样的结果。