Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-23T19:28:02.968Z Has data issue: false hasContentIssue false

Robust optimal attitude control of a laboratory helicopter without angular velocity feedback

Published online by Cambridge University Press:  28 February 2014

Hao Liu
Affiliation:
School of Astronautics, Beihang University, Beijing 100191, P.R. China Department of Automation, TNList, Tsinghua University, Beijing 100084, P.R. China
Jianxiang Xi*
Affiliation:
High-Tech Institute of Xi'an, Xi'an 710025, P.R. China
Yisheng Zhong
Affiliation:
Department of Automation, TNList, Tsinghua University, Beijing 100084, P.R. China
*
*Corresponding author. E-mail: [email protected]

Summary

In this paper, the robust, optimal, output control problem is dealt with for a 3-degree-of-freedom laboratory helicopter. The control goal is to achieve the practical tracking of the desired elevation and pitch angles without the angular velocity feedback. A nominal linear time-invariant system is introduced and the real system is considered as the nominal one with uncertainties, including parameter perturbations, nonlinear time-varying uncertainties, and external disturbances. An observer is first used to estimate angular velocity. Then a nominal controller based on the optimal control method is designed for the nominal system to achieve the desired tracking properties. Lastly, a robust output compensator is added to restrain the effects of uncertainties in the real system. It is shown that asymptotic tracking properties and robust stability can be achieved. Experimental results on the laboratory helicopter are shown to verify the effectiveness of the proposed control method.

Type
Articles
Copyright
Copyright © Cambridge University Press 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Prempain, E. and Postlethwaite, I., “Static H loop shaping control of a fly-by-wire helicopter,” Automatica 41 (9), 15171528 (2005).CrossRefGoogle Scholar
2.Isidori, A., Marconi, L. and Serrani, A., “Robust nonlinear motion control of a helicopter,” IEEE Trans. Autom. Control 48 (3), 413426 (2003).Google Scholar
3.Raffo, G. V., Ortega, M. G. and Rubio, F. R., “An integral predictive/nonlinear H control structure for a quadrotor helicopter,” Automatica 46 (1), 2939 (2010).CrossRefGoogle Scholar
4.Raptis, I. A., Valavanis, K. P. and Moreno, W. A., “A novel nonlinear backstepping controller design for helicopters using the rotation matrix,” IEEE Trans. Control Syst. Technol. 19 (2), 465473 (2011).CrossRefGoogle Scholar
5.Toha, S. F. and Tokhi, M. O., “PID and inverse-model-based control of a twin rotor system,” Robotica 29 (6), 929938 (2011).Google Scholar
6.Shin, J., Nonami, K., Fujiwara, D. and Hazawa, K., “Model-based optimal attitude and positioning control of small-scale unmanned helicopter,” Robotica 23 (1), 5163 (2005).CrossRefGoogle Scholar
7.Cimen, T., “State-Dependent Riccati Equation (SDRE) Control: A Survey,” Proceedings of the International Federation of Automatic Control, Seoul, Korea (July 2008) pp. 37613775.Google Scholar
8.Petersen, L. R., “A stabilization algorithm for a class of uncertain linear systems,” Syst. Control Lett. 8 (4), 351357 (1987).Google Scholar
9.Douglas, J. and Athans, M., “Robust linear quadratic designs with real parameter uncertainty,” IEEE Trans. Autom. Control 39 (1), 107111 (1994).Google Scholar
10.Zhou, K., Glover, K., Bodenheimer, B. and Doyle, J., “Mixed H 2 and H performance objectives 1: Robust performance analysis,” IEEE Trans. Autom. Control 39 (8), 15641574 (1994).Google Scholar
11.Dorato, P., Menini, L. and Treml, C. A., “Robust multi-objective feedback design with linear guaranteed-cost bounds,” Automatica 34 (10), 12391243 (1998).CrossRefGoogle Scholar
12.Trentini, M. and Pieper, J. K., “Mixed norm control of a helicopter,” J. Guid. Control Dyn. 24 (3), 555565 (2001).Google Scholar
13.Kutay, A. T., Calise, A. J., Idan, M. and Hovakimyan, N., “Experimental results on adaptive output feedback control using a laboratory model helicopter,” IEEE Trans. Control Syst. Technol. 13 (2), 196202 (2001).CrossRefGoogle Scholar
14.Andrievsky, B., Peaucelle, D. and Fradkov, A. L., “Adaptive Control of 3DOF Motion for LAAS Helicopter Benchmark: Design and Experiments,” Proceeding of the American Control Conference, New York (July 2007) pp. 33123317.Google Scholar
15.Kiefer, T., Graichen, K. and Kugi, A., “Trajectory tracking of a 3DOF laboratory helicopter under input and state constraints,” IEEE Trans. Control Syst. Technol. 18 (4), 944952 (2010).Google Scholar
16.Ishitobi, M., Nishi, M. and Nakasaki, K., “Nonlinear adaptive model following control for a 3-DOF tandem-rotor model helicopter,” Control Eng. Pract. 18 (8), 936943 (2010).Google Scholar
17.Zheng, B. and Zhong, Y., “Robust attitude regulation of a 3-DOF helicopter benchmark: Theory and experiments,” IEEE Trans. Ind. Electron. 58 (2), 660670 (2011).CrossRefGoogle Scholar
18.Liu, H., Lu, G. and Zhong, Y., “Robust LQR attitude control of a 3-DOF laboratory helicopter for aggressive maneuvers,” IEEE Trans. Ind. Electron. 60 (10), 46274636 (2013).CrossRefGoogle Scholar
19.Liu, H., Lu, G. and Zhong, Y., “Robust output tracking control of a laboratory helicopter for automatic landing,” Int. J. Syst. Sci. Published Online, DOI:10.1080/00207721.2013.766774 (2013).Google Scholar
20.Zhong, Y., “Robust output tracking control of SISO plants with multiple operating points and with parametric and unstructured uncertainties,” Int. J. Control 75 (4), 219241 (2002).CrossRefGoogle Scholar
21.Apkarian, J., 3-DOF Helicopter Reference Manual (Quanser Consulting, Canada, 2006).Google Scholar