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Stabilizing Quadrotor Helicopter with Uncertainties Based on Controlled Lagrangians and Disturbance Observer

  • Zhonglin Li
  • Wei Huo
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 528)

Abstract

How to apply the Controlled Lagrangian method to stabilization controller design for the quadrotor helicopter with uncertainties is investigated in this paper. The dynamical model of the uncertain quadrotor is transformed to a linear model without uncertainties and an uncertain term to facilitate controller design. First, a stabilization controller for linearized model is design based on the Controlled Lagrangian method. For the under-actuated quatrotor, its uncertainties and control inputs are mismatched, the mismatched uncertainties are replaced with equivalent matched uncertainties by utilizing the equivalent disturbance method, then a disturbance observer is constructed to estimate the matched uncertainties, and added to the controller for linearized model to compensate the effect of uncertainties. It is proved that states of the controlled quadrotor are uniformly ultimately bounded and converge to a small neighborhood of the desired equilibrium point. Simulation results verify effectiveness of the proposed controller with the observer.

Keywords

Quadrotor helicopter Controlled Lagrangians Disturbance observer Stabilization 

Notes

Acknowledgements

This work is supported by National Natural Science Foundation (NNSF) of China under Grant No. 61673043.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.The Seventh Research Division, School of Automation Science and Electrical EngineeringBeihang UniversityBeijingPeople’s Republic of China

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