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Optimal design via polynomial Euler function for UAV applications

Published online by Cambridge University Press:  13 September 2024

Z. Y. Chen ,
Yahui Meng ,
Ruei-Yuan Wang  and
Timothy Chen
Z. Y. Chen
Affiliation:
School of Science, Guangdong University of Petrochem Technology, Maoming 525000, Guangdong, China
Yahui Meng*
Affiliation:
School of Science, Guangdong University of Petrochem Technology, Maoming 525000, Guangdong, China
Ruei-Yuan Wang
Affiliation:
School of Science, Guangdong University of Petrochem Technology, Maoming 525000, Guangdong, China
Timothy Chen*
Affiliation:
Division of Engineering and Applied Science, Caltech, Pasadena, CA 91125, USA
*
*Corresponding authors: Timothy Chen; Email: [email protected], Yahui Meng; Email: [email protected]
*Corresponding authors: Timothy Chen; Email: [email protected], Yahui Meng; Email: [email protected]
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Abstract

Unmanned aerial vehicles (UAVs) have recently been widely applied in a comprehensive realm. By enhancing computer photography and artificial intelligence, UAVs can automatically discriminate against environmental objectives and detect events that occur in the real scene. The application of collaborative UAVs will offer diverse interpretations which support a multiperspective view of the scene. Due to the diverse interpretations of UAVs usually deviating, UAVs require a consensus interpretation for the scenario. This study presents an original consensus-based method to pilot multi-UAV systems for achieving consensus on their observation as well as constructing a group situation-based depiction of the scenario. Taylor series are used to describe the fuzzy nonlinear plant and derive the stability analysis using polynomial functions, which have the representations $V(x )={m_{\textrm{1} \le l \le N}}({{V_\textrm{l}}(x )} )$ and ${V_l}(x )={x^T}{P_l}(x )x$. Due to the fact that the ${\dot{P}_l}(x )$ in ${\dot{V}_l}(x )={\dot{x}^T}{P_l}(x )x + {x^T}{\dot{P}_l}(x )x + {x^T}{P_l}(x )\dot{x}$ will yield intricate terms to ensure a stability criterion, we aim to avoid these kinds of issues by proposing a polynomial homogeneous framework and using Euler's functions for homogeneous systems. First, this method permits each UAV to establish high-level conditions from the probed events via a fuzzy-based aggregation event. The evaluated consensus indicates how suitable is the scenario collective interpretation for every UAV perspective.

Keywords

Euler's functionnon-quadratic stabilitypiecewise polynomial homogeneousunmanned aerial vehicles (UAVs)
Type
Research Article
Information
The Journal of Navigation , Volume 77 , Issue 1 , January 2024 , pp. 82 - 99
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Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press on behalf of The Royal Institute of Navigation

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