Consensus of autonomous underactuated surface vessels

This paper is concerned with the distributed consensus problem of multiple underactuated surface vessels, where the number of the vehicles actuators is fewer than the vehicles degrees of freedom. To cope with the coupling of unactuated and actuated states, a state transformation is proposed to change the format of the system to a cascade nonlinear system, and an appropriate switching controller is designed based on the stability properties of cascade systems to make the vehicles to reach a consensus. To illustrate the performance of the proposed approach, simulation results are provided.

[1]  R. W. Brockett,et al.  Asymptotic stability and feedback stabilization , 1982 .

[2]  Tomohisa Hayakawa,et al.  Consensus Control for Underactuated Vehicles , 2011 .

[3]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[4]  Thor I. Fossen,et al.  Guidance and control of ocean vehicles , 1994 .

[5]  Lin Huang,et al.  Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[7]  Yongcan Cao,et al.  Distributed Coordination of Multi-agent Networks , 2011 .

[8]  Yu-Ping Tian,et al.  On the general consensus protocol of multi-agent systems with double-integrator dynamics , 2009 .

[9]  Wei Xing Zheng,et al.  Coordination of Multiple Agents With Double-Integrator Dynamics Under Generalized Interaction Topologies , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[10]  Sanjay P. Bhat,et al.  Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks , 2008, IEEE Transactions on Automatic Control.

[11]  Randal W. Beard,et al.  Distributed Consensus in Multi-vehicle Cooperative Control - Theory and Applications , 2007, Communications and Control Engineering.

[12]  Sezai Emre Tuna,et al.  Conditions for Synchronizability in Arrays of Coupled Linear Systems , 2008, IEEE Transactions on Automatic Control.

[13]  Tomohisa Hayakawa,et al.  Configuration Consensus of Two Underactuated Planar Rigid Bodies , 2011 .

[14]  Jie Huang,et al.  Finite-time control for robot manipulators , 2002, Syst. Control. Lett..

[15]  David J. Hill,et al.  Passivity-based control and synchronization of general complex dynamical networks , 2009, Autom..

[16]  Guanghui Wen,et al.  Finite-time consensus for second-order multi-agent systems with saturated control protocols , 2015 .

[17]  P. Olver Nonlinear Systems , 2013 .

[18]  Isabelle Fantoni,et al.  Global Finite-Time Stability Characterized Through a Local Notion of Homogeneity , 2014, IEEE Transactions on Automatic Control.

[19]  J. Ghommam,et al.  Global stabilisation and tracking control of underactuated surface vessels , 2010 .

[20]  Shihua Li,et al.  Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics , 2011, Autom..

[21]  Soon-Jo Chung,et al.  Cooperative Robot Control and Concurrent Synchronization of Lagrangian Systems , 2007, IEEE Transactions on Robotics.

[22]  Khac Duc Do,et al.  Control of Ships and Underwater Vehicles: Design for Underactuated and Nonlinear Marine Systems , 2009 .

[23]  Wenwu Yu,et al.  An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination , 2012, IEEE Transactions on Industrial Informatics.