This work deals with the problem of designing observers for the estimation of a single function of the states for discrete-time nonlinear systems. Necessary and sufficient conditions for the existence of lower order functional observers with linear dynamics and linear output map are derived. The results provide a direct generalization to Luenberger’s linear theory of functional observers.

中文翻译：

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离散时间非线性系统的具有线性误差动态的函数观测器

这项工作涉及设计观察器以估计离散时间非线性系统状态的单个函数的问题。推导了具有线性动力学和线性输出映射的低阶函数观测器存在的充要条件。结果提供了对 Luenberger 的函数观察者线性理论的直接推广。