Robust adaptive tracking control for nontriangular time‐delay nonlinear systems with input dead‐zone and multiple uncertainties

Summary This article studies the robust adaptive tracking control problem of nontriangular nonlinear systems that are affected by multiple state delays rather than the input‐delay. Different from the related studies, the considered systems involve input dead‐zone and various uncertainties arising in...

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Bibliographic Details
Published in:International journal of adaptive control and signal processing 2020-07, Vol.34 (7), p.857-876
Main Authors: Xue, Lingrong, Liu, Zhen‐Guo, Wu, Yuqiang
Format: Article
Language:English
Subjects:
Adaptive control
Nonlinear control
Nonlinear systems
Parameter uncertainty
Robust control
System theory
Systems theory
time delay
Time delay systems
Tracking control
Tracking errors
uncertainty
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Summary:Summary This article studies the robust adaptive tracking control problem of nontriangular nonlinear systems that are affected by multiple state delays rather than the input‐delay. Different from the related studies, the considered systems involve input dead‐zone and various uncertainties arising in the control coefficients, structure parameters, time delays, and disturbances. A new adaptive control strategy is presented by introducing a dynamic‐gain‐based Lyapunov‐Krasovskii functional and by generalizing the tuning function method in the framework of time‐delay system theory. All the states of the closed‐loop system are bounded and the tracking error can be adjusted sufficiently small. In the simulation, the delayed chemical system is studied to demonstrate the validity of the strategy.
ISSN:0890-6327
1099-1115
DOI:10.1002/acs.3107