A State-Constrained Control Scheme for Hysteresis Control Systems with Unknown Hysteresis Parameters

This research examines the issue of state-constrained stabilizing controllers for Bouc-Wen hysteresis control systems with all hysteresis parameters being unknown. We develop a novel hysteresis estimator for estimating the virtual hysteresis state. Employing the L_{2} -gain control approach effectiv...

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Bibliographic Details
Published in2024 European Control Conference (ECC) pp. 1717 - 1722
Main Authors Wu, Jenq-Lang, Arunkumar, Arumugam
Format Conference Proceeding
LanguageEnglish
Published EUCA 25.06.2024
Subjects
barrier function
Control systems
Estimation error
Europe
Hysteresis
Hysteresis systems
Linear matrix inequalities
Lyapunov function
state constraints
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Summary:This research examines the issue of state-constrained stabilizing controllers for Bouc-Wen hysteresis control systems with all hysteresis parameters being unknown. We develop a novel hysteresis estimator for estimating the virtual hysteresis state. Employing the L_{2} -gain control approach effectively mitigates the impact of estimation errors on the system. With barrier functions, even when the hysteresis parameters are unknown, we can formulate state-constrained stabilizing controllers using solutions to linear matrix inequalities. Ultimately, we showcase the efficacy and practicality of this control strategy with the help of a numerical example.
DOI:10.23919/ECC64448.2024.10590936