论文信息 - Self-Tuning Geometric Control for a Quadrotor UAV Based on Lyapunov Stability Analysis

Self-Tuning Geometric Control for a Quadrotor UAV Based on Lyapunov Stability Analysis

A Lyapunov-based self gain tuning geometric nonlinear controller for a quadrotor UAV has been developed on SE(3) in this paper. By designing an adaptive law with Lyapunov stability analysis for the controller gains, the proposed control system can asymptotically follow an attitude and position command while tuning the PID gains online, and it is extended to guarantee boundedness of tracking errors in the presence of unstructured disturbances. This introduce an unprecedented algorithm to autonomously tune the controller gains without need of extra effort or introducing boundary conditions. Proposed controller considers all the coupling effects between rotational and translational dynamics, and it is developed in a coordinate-free fashion to avoid complexities and ambiguities associated with other attitude representations such as Euler angles or quaternions. The desirable features of the proposed controller are illustrated by numerical simulations and juxtaposed with a well-known offline gain tuning method. The proposed algorithm is ultimately validated with an experimental example. Full Text: PDF DOI: http://dx.doi.org/10.11591/ijra.v5i3.1014

Farhad A. Goodarzi

[1] Daewon Lee,et al. Geometric Adaptive Tracking Control of a Quadrotor Unmanned Aerial Vehicle on SE(3) for Agile Maneuvers , 2015 .

[2] W. Haddad,et al. Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach , 2008 .

[3] Jyh-Ching Juang,et al. Spacecraft robust attitude tracking design: PID control approach , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[4] Kamesh Subbarao,et al. Nonlinear PID-Like Controllers for Rigid-Body Attitude Stabilization , 2004 .

[5] Farhad A. Goodarzi. Geometric Nonlinear Controls for Multiple Cooperative Quadrotor UAVs Transporting a Rigid Body , 2015, 1508.03789.

[6] Daewon Lee,et al. Geometric nonlinear PID control of a quadrotor UAV on SE(3) , 2013, 2013 European Control Conference (ECC).

[7] Taeyoung Lee,et al. Dynamics and control of quadrotor UAVs transporting a rigid body connected via flexible cables , 2015, 2015 American Control Conference (ACC).

[8] Farhad A. Goodarzi,et al. Stabilization of a Rigid Body Payload with Multiple Cooperative Quadrotors , 2015, 1511.02180.

[9] Mohammad A. K. Alia,et al. A Design of a PID Self-Tuning Controller Using LabVIEW , 2011, J. Softw. Eng. Appl..

[10] P. Mhaskar,et al. A method for PID controller tuning using nonlinear control techniques , 2005, Proceedings of the 2004 American Control Conference.