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ISSN: 2168-9695

Advances in Robotics & Automation
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Research Article

Bounded Coordination Control of Second-order Dynamic Agents

Khac Duc Do*

Department of Mechanical Engineering, Curtin University, Perth, WA 6845, Australia

*Corresponding Author:
Khac Duc Do
Department of Mechanical Engineering
Curtin University
Perth, WA 6845, Australia
E-mail: [email protected]

Received July 04, 2013; Accepted July 18, 2013; Published July 22, 2013

Citation: Do KD (2013) Bounded Coordination Control of Second-order Dynamic Agents. Adv Robot Autom 2:105. doi:10.4172/advances-robotics-automation.1000105

Copyright: © 2013 Do KD. This is an open-access article distributed under theterms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

This paper presents a constructive design of distributed and bounded coordination controllers that force mobile agents with second-order dynamics to track desired trajectories and to avoid collision between them. The control design is based on the new bounded control design technique for second-order systems, and new pairwise collision avoidance functions. The pair wise collision functions are functions of both the relative position and velocity of the agents instead of only the relative position as in the literature. Desired features of the proposed control design include: 1) Boundedness of the control inputs by a predefined bound despite collision avoidance between the agents considered, 2) No collision between any agents, 3) Asymptotical stability of desired equilibrium set, and 4) Instability of all other undesired critical sets of the closed loop system. The proposed control design is then applied to design a coordination control system for a group of vertical take-off and landing (VTOL) aircraft.

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