Active vibration suppression of a novel airfoil model with fractional order viscoelastic constitutive relationship

AbstractAlong the years, unwanted vibrations in airplane wings have led to passenger discomfort. In this study, the airplane wing is modeled as a cantilever beam on which active vibration suppression is tested. The paper details the tuning of both integer and fractional order Proportional Derivative type controllers based on constraints imposed in the frequency domain. The controllers are experimentally validated and the results prove once more the superiority of the fractional order control approach.

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Active Fractional-Order Sliding Mode Control of Flexible Spacecraft Under Actuators Saturation

10.21203/rs.3.rs-331089/v1 ◽

2021 ◽

Author(s):

milad alipour ◽

Maryam Malekzadeh ◽

alireza ariaei

Keyword(s):

Fractional Order ◽

Attitude Control ◽

Vibration Suppression ◽

Sliding Mode ◽

Fixed Time ◽

Flexible Spacecraft ◽

Terminal Sliding Mode ◽

Damping Matrix ◽

Active Vibration Suppression ◽

Active Vibration

Abstract In this article, a novel multi-purpose modified fractional-order nonsingular terminal sliding mode (MFONTSM) controller is designed for the flexible spacecraft attitude control and appendages passive vibration suppression, assuming the control torque saturation in the system dynamics. Furthermore, an active FONTSM controller is proposed separately to perform active vibration suppression of the flexible appendages using piezoelectric actuators. The fixed-time stability of the closed-loop system for both the passive and active controllers is analyzed and proved using the Lyapunov theorem. Finally, the performance of the proposed controllers has been tested in the presence of uncertainties, external disturbances, and the absence of the damping matrix in order to study the effectiveness of the proposed method.

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An Experimental Tuning Approach of Fractional Order Controllers in the Frequency Domain

Applied Sciences ◽

10.3390/app10072379 ◽

2020 ◽

Vol 10 (7) ◽

pp. 2379 ◽

Cited By ~ 1

Author(s):

Isabela Birs ◽

Silviu Folea ◽

Ovidiu Prodan ◽

Eva Dulf ◽

Cristina Muresan

Keyword(s):

Fractional Order ◽

Vibration Suppression ◽

Experimental Tests ◽

Closed Loop System ◽

Control Engineering ◽

Proportional Integral ◽

Active Vibration Suppression ◽

Smart Beam ◽

Active Vibration ◽

Set Up

Fractional calculus has been used intensely in recent years in control engineering to extend the capabilities of the classical proportional–integral–derivative (PID) controller, but most tuning techniques are based on the model of the process. The paper presents an experimental tuning procedure for fractional-order proportional integral–proportional derivative (PI/PD) and PID-type controllers that eliminates the need of a mathematical model for the process. The tuning procedure consists in recreating the Bode magnitude plot using experimental tests and imposing the desired shape of the closed loop system magnitude. The proposed method is validated in the field of active vibration suppression by using an experimental set-up consisting of a smart beam.

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