Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability

Kaushik Raj; Santosh Kumar Choudhary; Venkatesan Muthukumar

doi:10.1007/978-3-030-65796-3_37

Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability

Kaushik Raj, Santosh Kumar Choudhary, Venkatesan Muthukumar

Department of Instrumentation and Control Engineering, Manipal Institute of Technology, Manipal

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The 3-degree of freedom (DOF) helicopter is a benchmark aero-dynamical laboratory model having non-linear characteristics and open-loop unstable dynamics that make the control of such system for either posture stabilization or trajectory tracking a challenging task for the control community. This article investigates a linear quadratic regulator (LQR) based optimal solution for the position and attitude control problem of 3-DOF helicopter system with a prescribed degree of stability to achieve desired attitude (elevation and roll angles) and position (travel rate). Numerical simulations are demonstrated to verify the effectiveness of the proposed control scheme.

Original language	English
Title of host publication	Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020
Editors	Henry Selvaraj, Grzegorz Chmaj, Dawid Zydek
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	379-389
Number of pages	11
ISBN (Print)	9783030657956
DOIs	https://doi.org/10.1007/978-3-030-65796-3_37
Publication status	Published - 2021
Event	27th International Conference on Systems Engineering, ICSEng 2020 - Las Vegas, United States Duration: 14-12-2020 → 16-12-2020

Publication series

Name	Lecture Notes in Networks and Systems
Volume	182
ISSN (Print)	2367-3370
ISSN (Electronic)	2367-3389

Conference

Conference	27th International Conference on Systems Engineering, ICSEng 2020
Country/Territory	United States
City	Las Vegas
Period	14-12-20 → 16-12-20

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Signal Processing
Computer Networks and Communications

Access to Document

10.1007/978-3-030-65796-3_37

Cite this

Raj, K., Choudhary, S. K., & Muthukumar, V. (2021). Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability. In H. Selvaraj, G. Chmaj, & D. Zydek (Eds.), Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020 (pp. 379-389). (Lecture Notes in Networks and Systems; Vol. 182). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-65796-3_37

Raj, Kaushik ; Choudhary, Santosh Kumar ; Muthukumar, Venkatesan. / Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability. Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020. editor / Henry Selvaraj ; Grzegorz Chmaj ; Dawid Zydek. Springer Science and Business Media Deutschland GmbH, 2021. pp. 379-389 (Lecture Notes in Networks and Systems).

@inproceedings{44d85c65ae884ae59ed765353383a9d2,

title = "Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability",

abstract = "The 3-degree of freedom (DOF) helicopter is a benchmark aero-dynamical laboratory model having non-linear characteristics and open-loop unstable dynamics that make the control of such system for either posture stabilization or trajectory tracking a challenging task for the control community. This article investigates a linear quadratic regulator (LQR) based optimal solution for the position and attitude control problem of 3-DOF helicopter system with a prescribed degree of stability to achieve desired attitude (elevation and roll angles) and position (travel rate). Numerical simulations are demonstrated to verify the effectiveness of the proposed control scheme.",

author = "Kaushik Raj and Choudhary, {Santosh Kumar} and Venkatesan Muthukumar",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 27th International Conference on Systems Engineering, ICSEng 2020 ; Conference date: 14-12-2020 Through 16-12-2020",

year = "2021",

doi = "10.1007/978-3-030-65796-3_37",

language = "English",

isbn = "9783030657956",

series = "Lecture Notes in Networks and Systems",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "379--389",

editor = "Henry Selvaraj and Grzegorz Chmaj and Dawid Zydek",

booktitle = "Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020",

address = "Germany",

}

Raj, K, Choudhary, SK & Muthukumar, V 2021, Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability. in H Selvaraj, G Chmaj & D Zydek (eds), Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020. Lecture Notes in Networks and Systems, vol. 182, Springer Science and Business Media Deutschland GmbH, pp. 379-389, 27th International Conference on Systems Engineering, ICSEng 2020, Las Vegas, United States, 14-12-20. https://doi.org/10.1007/978-3-030-65796-3_37

Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability. / Raj, Kaushik; Choudhary, Santosh Kumar; Muthukumar, Venkatesan.

Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020. ed. / Henry Selvaraj; Grzegorz Chmaj; Dawid Zydek. Springer Science and Business Media Deutschland GmbH, 2021. p. 379-389 (Lecture Notes in Networks and Systems; Vol. 182).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability

AU - Raj, Kaushik

AU - Choudhary, Santosh Kumar

AU - Muthukumar, Venkatesan

PY - 2021

Y1 - 2021

N2 - The 3-degree of freedom (DOF) helicopter is a benchmark aero-dynamical laboratory model having non-linear characteristics and open-loop unstable dynamics that make the control of such system for either posture stabilization or trajectory tracking a challenging task for the control community. This article investigates a linear quadratic regulator (LQR) based optimal solution for the position and attitude control problem of 3-DOF helicopter system with a prescribed degree of stability to achieve desired attitude (elevation and roll angles) and position (travel rate). Numerical simulations are demonstrated to verify the effectiveness of the proposed control scheme.

AB - The 3-degree of freedom (DOF) helicopter is a benchmark aero-dynamical laboratory model having non-linear characteristics and open-loop unstable dynamics that make the control of such system for either posture stabilization or trajectory tracking a challenging task for the control community. This article investigates a linear quadratic regulator (LQR) based optimal solution for the position and attitude control problem of 3-DOF helicopter system with a prescribed degree of stability to achieve desired attitude (elevation and roll angles) and position (travel rate). Numerical simulations are demonstrated to verify the effectiveness of the proposed control scheme.

UR - http://www.scopus.com/inward/record.url?scp=85101325731&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85101325731&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-65796-3_37

DO - 10.1007/978-3-030-65796-3_37

M3 - Conference contribution

AN - SCOPUS:85101325731

SN - 9783030657956

T3 - Lecture Notes in Networks and Systems

SP - 379

EP - 389

BT - Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020

A2 - Selvaraj, Henry

A2 - Chmaj, Grzegorz

A2 - Zydek, Dawid

PB - Springer Science and Business Media Deutschland GmbH

T2 - 27th International Conference on Systems Engineering, ICSEng 2020

Y2 - 14 December 2020 through 16 December 2020

ER -

Raj K, Choudhary SK, Muthukumar V. Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability. In Selvaraj H, Chmaj G, Zydek D, editors, Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020. Springer Science and Business Media Deutschland GmbH. 2021. p. 379-389. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-030-65796-3_37

Linear Quadratic Regulator for Helicopter Model with a Prescribed Degree of Stability

Abstract

Publication series

Conference

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this