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Feedback Linearization Controller with Thau Observer Applied to an Autonom Cover

Feedback Linearization Controller with Thau Observer Applied to an Autonom

Open Access
|Sep 2025

Figures & Tables

Figure 1.

Twin Rotor MIMO System (TRMS)
Twin Rotor MIMO System (TRMS)

Figure 2.

Pitch angle control by linearizing control in simulation
Pitch angle control by linearizing control in simulation

Figure 3.

An enlarged view of the first 5 seconds of Figure 2
An enlarged view of the first 5 seconds of Figure 2

Figure 4.

Yaw angle control by linearizing control in simulation
Yaw angle control by linearizing control in simulation

Figure 5.

An enlarged view of the first 5 seconds of Figure 4
An enlarged view of the first 5 seconds of Figure 4

Figure 6.

Trajectory tracking for the pitch angle controlled by the linearizing control in simulation
Trajectory tracking for the pitch angle controlled by the linearizing control in simulation

Figure 7.

Trajectory tracking for yaw angle controlled by linearizing control in simulation
Trajectory tracking for yaw angle controlled by linearizing control in simulation

Figure 8.

Diagram of the TRMS
Diagram of the TRMS

Figure 9.

Pitch control by linearizing control in experiment
Pitch control by linearizing control in experiment

Figure 10.

Experimental yaw control using the feedback linearizing control
Experimental yaw control using the feedback linearizing control

The TRMS parameters – from the “feedback” manufacturer

ParametersValues
I1 – main rotor moment of inertia6.8.10-2 Kg/m2
I2 – tail rotor moment of inertia2.10-2 Kg/m2
a1 – nonlinearity parameters0.0135
b1-nonlinearity parameters0.0924
a2-nonlinearity parameters0.02
b2-nonlinearity parameters0.09
Mg-moment of gravity0.32 N.m
B1ψ – parameter of the friction moment function6.10-3 N.m.s/rad
B2ψ – parameter of the friction moment function1.10-3 N.m.s/rad
B1ϕ – parameter of the friction moment function1.10-1N.m.s/rad
B2ϕ – parameter of the friction moment function1.10-2 N.m.s/rad
Kgy – gyroscopic moment parameter0.5 S/rad
K1-gain of motor 11.1
K2gain of motor 20.8
T11 – motor 1 denominator parameter1.1
T10 – motor 1 denominator parameter1
T21 – motor 2 denominator parameter1
T20 – motor 2 denominator parameter1
Tp – coupling moment parameter2
To – coupling moment parameter3.5
Kc-coupling moment gain-0.2

Tracking error values

Feedback-lin
MA of errorPitchMAE = 0.0066
YawMAE = 0.0023
MS of errorPitchMSE = 5.7529−05
YawMSE = 7.0992e−06

Regulation error values

Feedback-lin
M-A of errorPitchMAE = 0.0100
YawMAE = 0.0060
M-S of errorPitchMSE = 6.6811e−04
YawMSE = 4.4122e−04
DOI: https://doi.org/10.14313/jamris-2025-026 | Journal eISSN: 2080-2145 | Journal ISSN: 1897-8649
Language: English
Page range: 66 - 74
Submitted on: Apr 1, 2023
Accepted on: May 16, 2024
Published on: Sep 10, 2025
Published by: Łukasiewicz Research Network – Industrial Research Institute for Automation and Measurements PIAP
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Abderrahmane Kacimi, Abderrahmane Senoussaoui, published by Łukasiewicz Research Network – Industrial Research Institute for Automation and Measurements PIAP
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.