Design of Deterministic Self-Tuning Regulators for the Pitch Angle of an Aircraft

Jahandari, Sina; Kalhor, Ahmad; Nadjar Araabi, Babak

doi:10.22034/jast.2021.128031

Design of Deterministic Self-Tuning Regulators for the Pitch Angle of an Aircraft

Document Type : Original Article

Authors

Sina Jahandari ¹

Ahmad Kalhor ¹

Babak nadjar Araabi ²

¹ Faculty of New Sciences and Technologies, University of Tehran

² Faculty of Electrical and Computer Engineering , University of Tehran

10.22034/jast.2021.128031

Abstract

This paper addresses the adaptive control problem of an aircraft and focuses on the task that the pitch angle of the aircraft is required to follow the desired path. Considering the elevator deflection angle as the input and the pitch angle as the output, a mathematical model of the aircraft is derived to specify the structure of the system. Three diverse deterministic self-tuning regulators are designed using direct and indirect methods. Assuming that the system is unknown, recursive least squares method is applied to estimate parameters of the system or that of the controller’s. Diophantine equation and minimum degree pole-placement methods are utilized to calculate the control law. Not only do simulation results clearly demonstrate the privilege and effectiveness of the proposed approaches, but also comprehensive discussion is presented to distinguish advantages and disadvantages of them.

Keywords

”Aircraft”

“Pitch Angle”

“Adaptive Control”

“System Identification”

“Self-tuning Regulators”

20.1001.1.17352134.2020.13.2.7.3

Subjects

Aerospace Structures

1- John Andres Cadwell Jr. , Control of Longitudinal Pitch Rate as Aircraft Center of Gravity Changes, A Thesis Presented to California Polytechnic State University, 2010

2- Romulus Lungu, Mihaela Iancu, Stefan Ispas and Mihai Lungu, Adaptive Control of the Aircraft Pitch Angular Motion by using the Dynamic Inversion Principle[C], IEEE International Conference on Applied and Theoretical Electricity (ICATE), 2012

3- Xinhua Wanga, Jinkun Liu , Kai-Yuan Cai, Tracking control for a velocity-sensorless VTOL aircraft with delayed outputs, [J] Automatica (2009) 45:2876-2882

4- Chen Bihua , Jiao Zongxia , Shuzhi Sam Ge, Aircraft-on-ground path following control bydynamical adaptive backstepping [J], Chinese Journal of Aeronautics, 2013, 26(3): 668–675

5- Magnus Nilsson, Bo Egardt. Adaptive Tracking for Linear Plants under Fixed Feedback[J].European Journal of Control, 2012, 5:411-421.

6- Gary J. Balas, Andrew K. Packard, Joe Renfrow, Chris Mullaney, Robert T. M’Closkey, Control of the F-14 Aircraft Lateral-Directional Axis During Powered Approach [J], Journal of guideline, control and dynamics, Vol. 21, No. 6, November–December 1998