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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: xijx07@mails.tsinghua.edu.cn
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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.

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Articles
Copyright
Copyright © Cambridge University Press 2014