Optimized Fractional-Order Type-2 Fuzzy PID Attitude Controller for Fixed-Wing Aircraft

IF 1.5 3区 数学 Q2 MATHEMATICS, APPLIED Journal of Optimization Theory and Applications Pub Date : 2024-09-09 DOI:10.1007/s10957-024-02512-4
Wenfan Wang, Jun Zhang, Ruili Jiao
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Abstract

This paper addresses the design of attitude controller for a fixed-wing unmanned aerial vehicle. To address the complexity of the coupled nonlinear model of a fixed-wing aircraft, this paper introduces a Fractional-Order Type-2 Fuzzy PID (FOTFPID) controller. The adoption of interval valued type-2 fuzzy sets, as an extension of conventional fuzzy sets, has endowed decision makers with the ability to assign membership and non-membership values as intervals. This enhanced capability facilitates more resilient decision-making processes. The Bat optimization algorithm is also employed to fine-tune the membership functions, scaling factors, and primary controller parameters, aiming to minimize the integrated absolute error index. Numerical simulations are conducted to demonstrate effectiveness of the proposed controllers in comparison to classical PID controllers, while subjecting the aircraft system to various disturbance conditions.

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用于固定翼飞机的优化分数阶 2 型模糊 PID 姿态控制器
本文探讨了固定翼无人飞行器姿态控制器的设计。针对固定翼飞机耦合非线性模型的复杂性,本文引入了分数阶 2 型模糊 PID(FOTFPID)控制器。作为传统模糊集的扩展,区间值 2 型模糊集的采用赋予了决策者将成员值和非成员值分配为区间的能力。这种增强的能力有助于提高决策过程的弹性。此外,还采用了 Bat 优化算法对成员函数、缩放因子和主控制器参数进行微调,目的是使综合绝对误差指数最小。在飞机系统受到各种干扰的条件下,进行了数值模拟,以证明所提出的控制器与传统 PID 控制器相比的有效性。
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来源期刊
CiteScore
3.30
自引率
5.30%
发文量
149
审稿时长
9.9 months
期刊介绍: The Journal of Optimization Theory and Applications is devoted to the publication of carefully selected regular papers, invited papers, survey papers, technical notes, book notices, and forums that cover mathematical optimization techniques and their applications to science and engineering. Typical theoretical areas include linear, nonlinear, mathematical, and dynamic programming. Among the areas of application covered are mathematical economics, mathematical physics and biology, and aerospace, chemical, civil, electrical, and mechanical engineering.
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