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Predefined performance control for fuzzy robotic systems with measurement noise: Adaptation, robustness, and fuzzy optimization

Abstract

This study investigates a novel adaptive robust control for robotic systems to unify the research of prescribed performance control (PPC), uncertainty, and measurement noise. The focus is to achieve the PPC for robotic systems with the simultaneous existence of uncertainty and measurement noise. To deal with the uncertainty, fuzzy set theory is adopted to quantify the uncertainty. To ensure that the tracking errors of robotic systems subject to uncertainty and measurement noise can always confined to the predefined bound, an error conversion mechanism is introduced, by which a new transformed state is obtained. Based on the error conversion mechanism and fuzzy quantification of uncertainty, a saturation -type adaptive robust control is proposed, which can ensure the uniform boundedness (UB) and uniform ultimate boundedness (UUB) of the new transformed state. Furthermore, the problem of control parameter optimization is investigated. A fuzzy -based performance index that consists of the system performance and control effort is proposed. The control parameter optimization problem is then converted into finding a control parameter such that the performance index is minimized. By rigorous proofs, the solution to the optimization problem exists and is unique. Finally, a numerical simulation is conducted to illustrate the effectiveness of the suggested method.

article Article
date_range 2024
language English
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Featured Keywords

Adaptive robust control
Prescribed performance
Uncertainty
Measurement noise
Fuzzy optimization
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