Abstract

A nonlinear coupled wing model subject to unknown external disturbances is proposed in this paper. Since the model is modeled by partial differential equations, the traditional control design scheme based on the ordinary differential equation model is not applicable, and the control law design becomes very complex. In this paper, a new antidisturbance boundary control scheme based on a finite time convergent disturbance observer is proposed. The control laws are designed based on the new disturbance observers to make the external disturbance errors converge to zero in a finite time and ensure the uniformly bounded stability of the controlled system. Finally, the effectiveness of the controllers and the finite‐time convergence of disturbance errors are verified by the simulation and comparison.

Highlights

  • Due to the characteristics of maneuverability, flexibility, and wide vision, aircrafts are widely used in various fields

  • Because flexible materials have the advantages of improving the running speed of the mechanical system and further reducing the weight of the structure, they are widely used in the mechanical structure manufacturing in recent years [8, 9]. erefore, we can use flexible materials to make flapping-wing aircraft wings [10]

  • We regard a single wing as a coupled distributed parameter system and use the combination of partial differential equation and ordinary differential equation (PDE-ODE) to describe the wing dynamic model

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Summary

Introduction

Due to the characteristics of maneuverability, flexibility, and wide vision, aircrafts are widely used in various fields. For the problem of vibration suppression of distributed parameter systems, several researchers have proposed various control methods including the modal reduction method [22] and boundary control [23–29]. The research on vibration suppression of flexible structural systems based on the boundary control has made great progress. As for the boundary control of the flexible aircraft wing system, many scholars have researched in recent years [37–39]. These studies did not consider that the system was affected by both distributed disturbances and boundary disturbances, and their existence may bring great side effects to the system. E boundary disturbance observer-based control problem of a vibrating single-link flexible manipulator system with external disturbances was studied in [43].

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