An adaptive approach to zooming-based control for uncertain systems with input quantization

Conference paper (2018)

Authors

N. Moustakis Team Jan-Willem van Wingerden - Mechanical, Maritime and Materials Engineering

S. Yuan

S. Baldi

DOI: https://doi.org/10.23919/ECC.2018.8550109

Hybrid dynamic quantization Model reference adaptive control Input quantization Asymptotic tracking

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Published Date

2018

Language

English

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Abstract

This paper establishes an adaptive tracking approach for linear systems with parametric uncertainties, when input measurements are quantized due to the presence of a communication network closing the control loop. In order to address the tracking problem, a novel dynamic quantizer with dynamic offset is introduced and embedded into an adaptive hybrid control strategy based on zooming mechanism. A Lyapunov-based approach is used to derive the adaptive adjustments for the control gains and for the dynamic range and dynamic offset of the quantizer: it is proven analytically that the proposed adjustments guarantee asymptotic state tracking. Quantized adaptive control of an electrohydraulic system is given as an example of the effectiveness of the designed control methodology.

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