The system considered in this article operates with a feedback that is characterized by a gain and a desired final state (DFS), which is the main parameter of interest in this article. The system is, however, subjected intermittently to stochastic inputs according to a Markov process. Since the system operates in two modes—under the feedback to the DFS and under a stochastic input—an interacting multiple model estimator is designed to handle the unknown DFS to be estimated (mode $M_{1}$ ) and the random inputs (mode $M_{2}$ ). Simulation results explore several scenarios and investigate the degree of observability of this stochastic problem

中文翻译：

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具有期望最终状态和间歇随机输入的反馈系统的估计

本文中考虑的系统使用以增益和期望最终状态 (DFS) 为特征的反馈运行，这是本文感兴趣的主要参数。然而，根据马尔可夫过程，系统会间歇性地接受随机输入。由于系统以两种模式运行——在对 DFS 的反馈下和在随机输入下——设计了一个交互多模型估计器来处理待估计的未知 DFS（模式$M_{1}$ ）和随机输入（模式$M_{2}$ ). 仿真结果探索了几种场景并研究了这个随机问题的可观察性程度