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Observer Design for Sampled-Data Systems via Deterministic Learning
DOI:10.1109/TNNLS.2020.3047226.png)
Abstract
En 中文
A unified approach is proposed to design sampled-data observers for a certain type of unknown nonlinear systems undergoing recurrent motions based on deterministic learning in this article. First, a discrete-time implementation of high-gain observer (HGO) is utilized to obtain state trajectory from sampled output measurements. By taking the recurrent estimated trajectory as inputs to a dynamical radial basis function network (RBFN), a partial persistent exciting (PE) condition is satisfied, and a locally accurate approximation of nonlinear dynamics can be realized along the estimated sampled-data trajectory. Second, an RBFN-based observer consisting of the obtained dynamics from the process of deterministic learning is designed. Without resorting to high gains, the RBFN-based observer is shown capable of achieving correct state observation. The novelty of this article lies in that, by incorporating deterministic learning with the discrete-time HGO, the nonlinear dynamics can be accurately approximated along the estimated trajectory, and such obtained knowledge can then be utilized to realize nonhigh-gain state estimation for the same or similar sampled-data systems. Simulation is performed to validate the effectiveness of the proposed approach.
Keywords:
Observers
Trajectory
Artificial neural networks
Nonlinear dynamical systems
Sampled data systems
Noise measurement
Radial basis function networks
Deterministic learning
high-gain observer (HGO)
nonhigh-gain observer (NHGO)
radial basis function network (RBFN)
sampled-data system
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