This paper presents a novel robust controller design for formation control of autonomous underwater vehicles (AUVs). We consider a nonlinear three-degree-of-freedom dynamic model for the horizontal motion of each AUV. By using the Jacobi transform, the horizontal dynamics of AUVs are explicitly expressed as dynamics for formation shape and formation center, and are further decoupled by feedback control. We treat the coupling terms as perturbations to the decoupled system. An H-infinity state feedback controller is designed to achieve robust stability of the closed loop formation and translation dynamics. By incorporating an orientation controller, the formation shape under control converges and the formation center tracks a desired trajectory simultaneously. Simulation results demonstrate the effectiveness of the controllers.
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Robust Control of Formation Dynamics for Autonomous Underwater Vehicles in Horizontal Plane
Huizhen Yang,
Huizhen Yang
Associate Professor
Department of Mechanical Engineering and Automatic Control,
rainsun_ly@nwpu.edu.cn
Northwestern Polytechnical University
, Xi’an, China 710072
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Fumin Zhang
Fumin Zhang
Assistant Professor
School of Electrical and Computer Engineering,
fumin@ece.gatech.edu
Georgia Institute of Technology
, Atlanta, GA 30332
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Huizhen Yang
Associate Professor
Department of Mechanical Engineering and Automatic Control,
Northwestern Polytechnical University
, Xi’an, China 710072rainsun_ly@nwpu.edu.cn
Fumin Zhang
Assistant Professor
School of Electrical and Computer Engineering,
Georgia Institute of Technology
, Atlanta, GA 30332fumin@ece.gatech.edu
J. Dyn. Sys., Meas., Control. May 2012, 134(3): 031009 (7 pages)
Published Online: March 27, 2012
Article history
Received:
April 20, 2011
Revised:
October 5, 2011
Online:
March 27, 2012
Published:
March 27, 2012
Citation
Yang, H., and Zhang, F. (March 27, 2012). "Robust Control of Formation Dynamics for Autonomous Underwater Vehicles in Horizontal Plane." ASME. J. Dyn. Sys., Meas., Control. May 2012; 134(3): 031009. https://doi.org/10.1115/1.4005507
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