Technical Papers
Oct 24, 2011

H-Infinity Attitude Control System Design for a Small-Scale Autonomous Helicopter with Nonlinear Dynamics and Uncertainties

Publication: Journal of Aerospace Engineering
Volume 25, Issue 4

Abstract

The paper focuses on the design of a robust H-infinity attitude controller for an unmanned small-scale helicopter. To take into account the salient nonlinearities, a model with six-degrees-of-freedom nonlinear dynamics and some linear approximation of the aerodynamic parts are used when extracting a linear model and performing simulations to check the performance of the designed controller. To design a robust H-infinity controller, an augmented plant is constructed by adjusting several weighting functions. Then, a robust controller is synthesized utilizing the augmented system with the weighting functions and H-infinity control methodology. Using computer simulation it is shown that the H-infinity controller works well when applied to the nonlinear model even though it is designed using a linear model approximation. Through frequency response analysis, it is shown that the proposed controller can overcome more than half of the uncertainty variations around a nominal point at the input side. The time-domain simulation with the nonlinear model demonstrates that the proposed controller is very robust in relation to the uncertainties, as was expected, overcoming large gain uncertainties and time delay in each input channel. The analysis and simulation results also show that the control system satisfies the Level 1 handling requirements, as defined in Aeronautical Design Standard ADS-33E-PRF.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This paper was supported by Konkuk University in 2010.

References

Bogdanov, A., (2003). “State-dependent Riccati equation control of a small unmanned helicopter.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Budiyono, A. (2005). “Design and development of autonomous uninhabited air vehicles at ITB: Challenges and progress status.” Proc., Aerospace Indonesia Meeting, Bandung Institute of Technology, Bandung, Indonesia.
Budiyono, A., Sudiyanto, T., and Lesmana, H. (2007). “First principle approach to modeling of small scale helicopter.” Proc., Int. Conf. on Intelligent Unmanned System, Bandung Institute of Technology, Bandung, Indonesia.
Cai, G., Chen, B. M., Dong, X., and Lee, T. H. (2011). “Design and implementation of a robust and nonlinear flight control system for an unmanned helicopter.” Mechatronics, 21(5), 803–820.
Cai, G., Chen, B. M., Lee, T. H., and Dong, M. (2009). “Design and implementation of a hardware-in-the-loop simulation system for small-scale UAV helicopters.” Mechatronics, 19(7), 1057–1066.
Cai, G., Chen, B. M., Peng, K., Dong, M., and Lee, T. H. (2006). “Modeling and control system design for a UAV helicopter.” Proc., 14th Mediterranean Conf. on Control and Automation, Ancona, Marche, Italy.
Castillo, C. L., Alvis, W., Castillo-Effen, M., Moreno, W., and Valavanis, K. (2005). “Small scale helicopter analysis and controller design for non-aggressive flights.” Proc., 2005 IEEE Int. Conf. on Systems, Man and Cybernetics, Vol. 4, IEEE, Washington, DC, 3305–3312.
Cooper, G. E., and Harper, R. P. (1969). “The use of pilot rating in the evaluation of aircraft handling qualities.” TN D-5153, National Aeronautics and Space Administration, Washington, DC.
Dharmayanda, H. R., Budiyono, A., and Kang, T. (2010). “State space identification and implementation of H control design for small-scale helicopter.” Aircr. Eng. Aerosp. Technol., 82(6), 340–352.
Gadewadikar, J., Lewis, F. L., Subbarao, K., and Chen, B. M. (2007). “Attitude control system design for unmanned aerial vehicles using H-Infinity and loop-shaping methods.” Proc., 2007 IEEE Int. Conf. on Control and Automation, Guangzhou, China.
Gadewadikar, J., Lewis, F. L., Subbarao, K., and Chen, B. M. (2008). “Structured H command and control-loop design for unmanned helicopters.” J. Guid. Control Dyn., 31(4), 1093–1102.
Gadewadikar, J., Lewis, F. L., Subbarao, K., Peng, K., and Chen, B. M. (2009). “H-Infinity static output-feedback control for rotorcraft.” J. Intell. Robot. Syst., 54(4), 629–646.
Gavrilets, V. (2003). “Autonomous aerobatic maneuvering of miniature helicopter.” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.
Gavrilets, V., Martinos, I., Mettler, B., and Feron, E. (2002). “Flight test and simulation results for an autonomous aerobatic helicopter.” Proc., AIAA/IEEE Digital Avionics Systems Conf., American Institute of Aeronautics and Astronautics, Reston, VA, 1423–1429.
Gavrilets, V., Mettler, B., and Feron, E. (2001). “Nonlinear model for small-size acrobatic helicopter.” Proc., AIAA Guidance, Navigation, and Control Conf., American Institute of Aeronautics and Astronautics, Reston, VA, 2001-4333.
Gu, D. W., Petkov, P. H., and Konstantinov, M. H. (2005). Robust control design with MATLAB, Springer, London.
Joelianto, E., Sumarjono, E. M., Budiyono, A., and Penggalih, D. R. (2011). “Model predictive control for autonomous unmanned helicopters.” Aircr. Eng. Aerosp. Technol., 83(6), 375–387.
Johnson, E., and Kannan, S. (2002). “Adaptive flight control for an autonomous unmanned helicopter.” Proc., AIAA Guidance, Navigation and Control Conf., American Institute of Aeronautics and Astronautics, Reston, VA, 2002-4439.
Kim, H. J., and Shim, D. H. (2003). “A flight control system for aerial robots: Algorithms and experiments.” Control Eng. Pract., 11(12), 1389–1400.
Koo, T. J., and Sastry, S. (1998). “Output tracking control design of a helicopter model based on approximate linearization.” Proc., 37th IEEE Conf. on Decision and Control, IEEE, Washington, DC, 3635–3640.
Kumar, M. V., Sampath, P., Suresh, S., Omkar, S. N., and Ganguli, R. (2008). “Design of a stability augmentation system for a helicopter using LQR control and ADS-33 handling qualities specifications.” Aircr. Eng. Aerosp. Technol., 80(2), 111–123.
Kumar, M. V., Suresh, S., Omkar, S. N., Ganguli, R., and Sampath, P. (2009). “A direct adaptive neural command controller design for an unstable helicopter.” Eng. Applic. Artif. Intell., 22(2), 181–191.
Lin, C.-H., Jan, S.-S., and Hsiao, F.-B. (2011). “Autonomous hovering of an experimental unmanned helicopter system with proportional-integral sliding mode control.” J. Aerosp. Eng., 24(3), 338–348.
Luo, C. C., Liua, R. F., Yang, C. D., and Chang, Y. H. (2003). “Helicopter H control design with robust flying quality.” Aerosp. Sci. Technol., 7(2), 159–169.
Mettler, B. (2003). Identification modeling and characteristics of miniature rotorcraft, Kluwer Academic, Boston.
Mettler, B., Takeo, K., Tischler, M. B., and Messner, W. (2000). “Attitude control optimization for a small-scale unmanned helicopter.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Nejjari, F., Saldivar, E., and Morcego, B. (2011). “Heading control system design for an unmanned helicopter.” Proc., 19th Mediterranean Conf. on Control and Automation, IEEE, Washington, DC, 1373–1378.
Nonaka, K., and Sugizaki, H. (2011). “Integral sliding mode altitude control for a small model helicopter with ground effect compensation.” Proc., 2011 American Control Conf., IEEE, Washington, DC, 202–207.
Padfield, G. D. (1981). “A theoretical model of helicopter flight mechanics for application to piloted simulation.” RAE TR 81048, Royal Aircraft Establishment, Farnborough, U.K.
Padfield, G. D. (1996). Helicopter flight dynamics: The theory and application of flying qualities and simulation modeling, Blackwell, Oxford, U.K.
Prempain, E., and Postlethwaite, I. (2004). “Static H loop shaping control of a fly-by-wire helicopter.” Proc., 43rd IEEE Conf. on Decision and Control, IEEE, Washington, DC, 1188–1195.
Saripalli, S., Montgomery, J. F., and Sukhatme, G. S. (2002). “Autonomous landing of an unmanned aerial vehicle.” Proc., IEEE Int. Conf. on Robotics and Automation, IEEE, Washington, DC, 2799–2804.
Shin, J., Nonami, K., Fujiwara, D., and Hazawa, K. (2005). “Model-based optimal attitude and positioning control of small-scale unmanned helicopter.” Robotica, 23(1), 51–63.
Smerlas, A. J., Walker, D. J., Postlethwaite, I., Strange, M. E., Howitt, J., and Gubbels, A. W. (2001). “Evaluating H controllers on the NRC Bell 205 fly-by-wire helicopter.” Control Eng. Pract., 9(1), 1–10.
Suresh, S. (2009). “Adaptive neural flight control system for helicopter.” Proc., IEEE Symp. on Computational Intelligence in Security and Defense Applications, IEEE, Washington, DC, 1–8.
Suresh, S., Kashyab, P., and Nabi, M. (2010). “Automatic take-off control system for helicopter-an H approach.” Proc., 11th Int. Conf. on Control, Automation, Robotics and Vision, IEEE, Washington, DC, 2404–2408.
Suzuki, S., Nakazawa, D., Nonami, K., and Tawara, M. (2011). “Attitude control of small electric helicopter by using quaternion feedback.” J. Syst. Des. Dyn., 5(2), 231–247.
Takahashi, M. D. (1994). “H helicopter flight control law design with and without rotor state feedback.” J. Guid. Control Dyn., 17(6), 1245–1251.
Tombs, M. S. (1987). “Robust control system design with application to high performance helicopters.” Ph.D. thesis, Univ. of Oxford, Oxford, U.K.
U.S. Army Aviation and Missile Command (USAAMC). (2000). “Performance specification handling qualities requirements for military rotorcraft.” ADS-33E-PRF, Engineering Directorate, Redstone Arsenal, AL.
Walker, D. J. (2003). “Multivariable control of the longitudinal and lateral dynamics of a fly-by-wire helicopter.” Control Eng. Pract., 11(7), 781–795.
Walker, D. J., Gubbels, A. W., and Turner, M. C. (2000). “Practical aspects of implementing H-infinity controllers on a FBW research helicopter.” Proc., RTO AVT Symp. on Active Control Technology for Enhanced Performance Operational Capabilities of Military Aircraft, Land Vehicles and Sea Vehicles, North Atlantic Treaty Organization, Brussels, Belgium.
Xie, R., Wang, X., and Li, Y. (2008). “H infinity state feedback control for the stabilization of the three Euler angles of helicopter based on LMI.” Proc., Int. Conf. on Intelligent Computation Technology and Automation (ICICTA), IEEE, Washington, DC, 375–379.
Yue, A., and Postlethwaite, I. (1990). “Improvement of helicopter handling qualities using H optimization.” IEEE Proc. D, 137(3), 115–129.
Zhao, X., and Han, J. (2008). “Yaw control of RUAVs: an adaptive robust H control method.” Proc., 17th World Congress, International Federation of Automatic Control, Seoul, Korea.
Zhou, K., and Doyle, J. C. (1998). Essentials of robust control, Prentice Hall, New York.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 25Issue 4October 2012
Pages: 501 - 518

History

Received: Feb 18, 2011
Accepted: Oct 20, 2011
Published online: Oct 24, 2011
Published in print: Oct 1, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

Dong-Yun Jeong [email protected]
Ph.D. Student, Dept. of Aerospace Information Engineering, Konkuk Univ., Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea. E-mail: [email protected]
Taesam Kang [email protected]
Professor, Dept. of Aerospace Information Engineering, Konkuk Univ., Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea (corresponding author). E-mail: [email protected]
Hardian Reza Dharmayanda [email protected]
Ph.D. Student, Dept. of Aerospace Information Engineering, Konkuk Univ., Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea. E-mail: [email protected]
Agus Budiyono [email protected]
Professor, Dept. of Aerospace Information Engineering, Konkuk Univ., Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share