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Joint State Estimation and Delay Identification for Nonlinear Systems With Delayed Measurements

机译:时滞非线性系统的联合状态估计和时延辨识

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摘要

The problem of state estimation for nonlinear systems with unknown state or measurement delays is still an open problem. In this paper, we consider the case of measurement delay and propose an approach that combines a delay identifier with a suitable high-gain observer in order to achieve simultaneous estimation of state and delay. We provide sufficient conditions that guarantee the exponential convergence to zero of the errors, globally with respect to the system variables and locally with respect to the delay estimation. We validate the method through an example concerning population models.
机译:具有未知状态或测量延迟的非线性系统的状态估计问题仍然是一个未解决的问题。在本文中,我们考虑了测量延迟的情况,并提出了一种将延迟标识符与合适的高增益观测器相结合的方法,以实现状态和延迟的同时估计。我们提供了充分的条件,以保证就系统变量而言全局地且相对于延迟估计而言局部地使误差指数收敛到零。我们通过一个有关人口模型的例子来验证该方法。

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