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Mathematical Modelling and Attitude Control of Quadcopter based on Classical Controller


Affiliations
1 Dept. of Aeronautical Engg., Kumaraguru College of Tech., Coimbatore, India
2 School of Mech. Engg., Sastra Deemed University, Tanjore, India
 

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The development of vertical take-off and landing (VTOL) aircrafts has been increasing in recent years due to growing demands in various sectors for critical missions and time saving purpose. There are number of configurations exist for VTOL airframe such as single-main-rotor, tandem rotor, coaxial rotor, tri-rotor, quad-rotor and hexa-rotor. Among various configurations quad-rotor and hexa-rotor configurations have been chosen frequently for various applications through miniature aircrafts. The components and subsystems of such configurations have been widely available for easy integration and flight tests. In addition to that, classical control methods such as proportional-integral-derivative (PID) controllers have been widely employed for better control of such aircrafts with stable operation. Even though the control methods are available with high performance flight controller boards, the attainment of quicker attitude response and better stability will be a major problem during the flight testing phase for quadcopters and hexacopters. Therefore, instead of directly going into the development of quadcopters, there should be a need for simulating their responses with models of actual configuration. In this paper, a quadcopter dynamics for roll, pitch, and yaw have been modelled as mathematical equations and its response have been simulated in MATLAB using classical control tools. The results have shown that the modelled dynamics respond faster with better stability.

Keywords

Quadcopter, Dynamic Response, Stability Analysis, Classical Control, MATLAB.
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  • G.M. Hoffmann, H. Huang, S.L. Waslander and C.J. Tomlin. 2007. Quadrotor helicopter flight dynamics and control: theory and experiment, Proc. AIAA Guidance, Navigation & Control Conference & Exhibit. https://doi.org/10.2514/6.2007-6461.
  • A. Tayebi and S. McGilvray. 2004. Attitude stabilization of a four-rotor aerial robot, Proc. 43rd IEEE Conf. Decision & Control, 2, 1216-1221. https://doi.org/10.1109/CDC.2004.1430207.
  • Z. Benić, P. Piljek and D. Kotarski. 2016. Mathematical modelling of unmanned aerial vehicles with four rotors, Interdisciplinary Description of Complex Systems, 14(1), 88-100.
  • K.M. Thua and A.I. Gavrilova. 2016. Designing and modeling of quadcopter control system using L1 adaptive control, Proc. 12th Int. Symp. Intelligent Systems, 103, 528-535.
  • H. Bolandi, M. Rezaei, R. Mohsenipour, H. Nemati, and S.M. Smailzadeh. 2013. Attitude control of a quadrotor with optimized pid controller, Intelligent Control & Automation, 4, 335-342. https://doi.org/10.4236/ica.2013.43039.
  • R. Vijayanandh, S. Senthil kumar M. Senthil kumar and M.B. Sabarish. 2018. Design and fabrication of tilthexacopter with image processing for critical applications, Int. J. Pure & Applied Mathematics, 118(9), 935-945.
  • R. Vijayanandh, S. Mano, M. Dinesh, M. Senthil kumar and G. Rajkumar. 2017. Design, fabrication and simulation of hexacopter for forest surveillance, APRN J. Engg. & Applied Sci., 12(12), 3879-3884.
  • K. Nonami, F. Kendoul, S. Suzuki, W. Wang and D. Nakazawa. 2010. Autonomous flying robots, Unmanned Aerial Vehicles and Micro Aerial Vehicle, Springer. https://doi.org/10.1007/978-4-431-53856-1.
  • R. Austin. 2010. Unmanned Aircraft Systems: UAVs Design, Development and Deployment, John Wiley & Sons. https://doi.org/10.1002/9780470664797.
  • N.S. Nise. 2011. Control Systems Engineering, John Wiley & Sons.

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  • Mathematical Modelling and Attitude Control of Quadcopter based on Classical Controller

Abstract Views: 417  |  PDF Views: 165

Authors

S. Senthil Kumar
Dept. of Aeronautical Engg., Kumaraguru College of Tech., Coimbatore, India
R. Vijayanandh
Dept. of Aeronautical Engg., Kumaraguru College of Tech., Coimbatore, India
S. Mano
School of Mech. Engg., Sastra Deemed University, Tanjore, India

Abstract


The development of vertical take-off and landing (VTOL) aircrafts has been increasing in recent years due to growing demands in various sectors for critical missions and time saving purpose. There are number of configurations exist for VTOL airframe such as single-main-rotor, tandem rotor, coaxial rotor, tri-rotor, quad-rotor and hexa-rotor. Among various configurations quad-rotor and hexa-rotor configurations have been chosen frequently for various applications through miniature aircrafts. The components and subsystems of such configurations have been widely available for easy integration and flight tests. In addition to that, classical control methods such as proportional-integral-derivative (PID) controllers have been widely employed for better control of such aircrafts with stable operation. Even though the control methods are available with high performance flight controller boards, the attainment of quicker attitude response and better stability will be a major problem during the flight testing phase for quadcopters and hexacopters. Therefore, instead of directly going into the development of quadcopters, there should be a need for simulating their responses with models of actual configuration. In this paper, a quadcopter dynamics for roll, pitch, and yaw have been modelled as mathematical equations and its response have been simulated in MATLAB using classical control tools. The results have shown that the modelled dynamics respond faster with better stability.

Keywords


Quadcopter, Dynamic Response, Stability Analysis, Classical Control, MATLAB.

References





DOI: https://doi.org/10.4273/ijvss.10.5.02