Distributed Tracking Control for Networked Mechanical Systems

This paper investigates the distributed tracking control problems for a group of networked mechanical systems. We describe three scenarios that motivate these problems. Firstly, under the conditions that the desired time‐varying trajectory is available to a portion of the networked mechanical systems and that the available signals from the neighboring mechanical systems include the position and velocity information, a distributed tracking control strategy is proposed. Next, we remove the requirement for the neighboring mechanical system's velocity information and propose a control method so that the coupling signals among the networked mechanical systems can be only position information. In the third scenario, we assume that only positions are measured for each mechanical system. Distributed nonlinear observers are proposed to estimate the local mechanical system's velocity and acceleration. Based on the estimated states, the distributed controllers are designed to achieve the tracking control. Simulation results are provided to show the effectiveness of the proposed control laws.

[1]  Frank L. Lewis,et al.  Control of Robot Manipulators , 1993 .

[2]  Raúl Ordóñez,et al.  Target tracking using artificial potentials and sliding mode control , 2007, Proceedings of the 2004 American Control Conference.

[3]  Henk Nijmeijer,et al.  Mutual synchronization of robots via estimated state feedback: a cooperative approach , 2004, IEEE Transactions on Control Systems Technology.

[4]  R. Ordonez,et al.  Swarm Tracking Using Artificial Potentials and Sliding Mode Control , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[5]  Mark W. Spong,et al.  Passivity-Based Control of Multi-Agent Systems , 2006 .

[6]  Perry Y. Li,et al.  Passive Decomposition Approach to Formation and Maneuver Control of Multiple Rigid Bodies , 2007 .

[7]  Guangming Xie,et al.  Consensus control for a class of networks of dynamic agents , 2007 .

[8]  Murat Arcak,et al.  Passivity as a Design Tool for Group Coordination , 2007, IEEE Transactions on Automatic Control.

[9]  Wei Ren,et al.  Multi-vehicle consensus with a time-varying reference state , 2007, Syst. Control. Lett..

[10]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[11]  Yiguang Hong,et al.  Distributed Observers Design for Leader-Following Control of Multi-Agent Networks (Extended Version) , 2017, 1801.00258.

[12]  Hassan K. Khalil,et al.  Nonlinear Systems Third Edition , 2008 .

[13]  Naomi Ehrich Leonard,et al.  Stable Synchronization of Mechanical System Networks , 2008, SIAM J. Control. Optim..

[14]  Wei Ren,et al.  Distributed leaderless consensus algorithms for networked Euler–Lagrange systems , 2009, Int. J. Control.

[15]  Yingmin Jia,et al.  Further results on decentralised coordination in networks of agents with second-order dynamics , 2009 .

[16]  Zhihong Man,et al.  Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems , 2009, IEEE/ASME Transactions on Mechatronics.

[17]  Romeo Ortega,et al.  Globally stable adaptive formation control of Euler-Lagrange agents via potential functions , 2009, 2009 American Control Conference.

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

[19]  Milos Manic,et al.  Advances in robot control: from everyday physics to human-like movements. Sadao Kawamura, Mikhail Svinin (eds), Springer, Berlin, Heidelberg, 2006. No. of pages: 341. ISBN-10 3-540-37346-2, ISBN-13 978-3-540-37346-9 , 2009 .

[20]  Han Yu,et al.  Passivity-based output synchronization of networked Euler-Lagrange systems subject to nonholonomic constraints , 2010, Proceedings of the 2010 American Control Conference.

[21]  Jiangping Hu,et al.  Quantized tracking control for a multi‐agent system with high‐order leader dynamics , 2011 .

[22]  F. Sun,et al.  Distributed adaptive consensus algorithm for networked Euler-Lagrange systems , 2011 .

[23]  Kevin M. Passino,et al.  Swarm Stability and Optimization , 2011 .

[24]  Frank L. Lewis,et al.  Distributed Adaptive Tracking Control for Synchronization of Unknown Networked Lagrangian Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).