Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Fuzzy Modeling Framework Using Sector Non-Linearity Techniques for Fixed-Wing Aircrafts

Version 1 : Received: 31 January 2024 / Approved: 1 February 2024 / Online: 1 February 2024 (14:02:03 CET)

A peer-reviewed article of this Preprint also exists.

Brusola, P.; Garcia-Nieto, S.; Salcedo, J.V.; Martinez, M.; Bishop, R.H. Fuzzy Modeling Framework Using Sector Non-Linearity Techniques for Fixed-Wing Aircrafts. Aerospace 2024, 11, 258. Brusola, P.; Garcia-Nieto, S.; Salcedo, J.V.; Martinez, M.; Bishop, R.H. Fuzzy Modeling Framework Using Sector Non-Linearity Techniques for Fixed-Wing Aircrafts. Aerospace 2024, 11, 258.

Abstract

This paper presents a mathematical modeling approach utilizing a fuzzy modeling framework for fixed wing aircraft systems with the goal of creating a highly desirable mathematical representation for model-based control design applications. The starting point is a mathematical model comprised of fifteen non-linear ordinary differential equations representing the dynamic and kinematic behavior applicable to a wide range of fixed wing aircraft systems. Here the proposed mathematical modeling framework is applied to the AIRBUS A310 model developed by ONERA. The proposed fuzzy modeling framework takes advantage of sector non-linearity techniquesto recast all the non-linear terms from the original model to a set of combined fuzzy rules. The result of this fuzzification is a more suitable mathematical description from the control system design point of view. Therefore, the combination of this fuzzy model and the wide range of control techniques available in the literature for such kind of models will enable us to avoid common control design methods, such as gain scheduling, where stability issues can be extremely challenging.

Keywords

Aircraft mathematical modelling; fixed wing aircraft; fuzzy mathematics; fuzzy modelling; non-linear systems; simulation

Subject

Engineering, Control and Systems Engineering

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