Instituto de Ingeniería, Universidad Nacional Autónoma de México, Cd. Universitaria, 04510, Mexico, D.F., Mexico,
Bioprocess Biosyst Eng. 2014 Jan;37(1):37-49. doi: 10.1007/s00449-013-0915-5. Epub 2013 Mar 17.
Determination of the observability/detectability properties of a nonlinear system is fundamental to assess the possibility of constructing observers and the properties that can be assigned to them, as e.g., the assignability of the convergence rate. For linear systems this task can be solved by well-known techniques, for the case without perturbations as much as for the perturbed case. However, for nonlinear systems this study is usually a very hard task, in particular, when unknown inputs and/or perturbations are present. In this paper a general method to study these properties will be described, and its capabilities and feasibility will be assessed by means of a few case studies related to the culture of phytoplankton in the chemostat.
确定非线性系统的可观/可检测性特性对于评估构建观测器的可能性以及可以为其分配的特性（例如，收敛速率的可分配性）至关重要。对于线性系统，这项任务可以通过众所周知的技术来解决，无论是无扰动情况还是受扰情况。然而，对于非线性系统，这项研究通常是一项非常艰巨的任务，特别是在存在未知输入和/或扰动的情况下。本文将描述一种研究这些特性的通用方法，并通过与恒化器中浮游植物培养相关的几个案例研究来评估其能力和可行性。
