Distributed Finite-time Error Constrained Tracking Control for Multiple Euler-Lagrange Systems

In this paper, distributed finite-time error constrained tracking control for multiple Euler-Lagrange systems is investigated under directed topology. It is considered that the information of the leader is available to only a subset of the followers. A tan-type barrier Lyapunov function (BLF) is utilized to demonstrate that the tracking errors would not exceed the assigned bound. Using backstepping design method, a novel distributed finite-time error constrained tracking protocol is proposed. It is proved that the tracking error of each follower is ultimately bounded in finite time by graph theory, Lyapunov theory, and finite-time stability theory. Numerical simulations demonstrate the effectiveness of the control law.

[1]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[2]  Xu Jin,et al.  Adaptive finite‐time fault‐tolerant tracking control for a class of MIMO nonlinear systems with output constraints , 2017 .

[3]  Zhong-Ping Jiang,et al.  Distributed Global Output-Feedback Control for a Class of Euler–Lagrange Systems , 2017, IEEE Transactions on Automatic Control.

[4]  Seong-Ik Han,et al.  Decentralized neural network control for guaranteed tracking error constraint of a robot manipulator , 2015 .

[5]  Yanchao Sun,et al.  Distributed finite-time coordinated control for multi-robot systems , 2018, Trans. Inst. Meas. Control.

[6]  Zhang Hai.  Adaptive Coordinated Tracking for Networked Euler-Lagrange Systems under a Directed Graph , 2011 .

[7]  Guangfu Ma,et al.  Distributed Coordinated Tracking With a Dynamic Leader for Multiple Euler-Lagrange Systems , 2011, IEEE Transactions on Automatic Control.

[8]  Hao Wang,et al.  Containment control of networked autonomous underwater vehicles with model uncertainty and ocean disturbances guided by multiple leaders , 2015, Inf. Sci..

[9]  Yongduan Song,et al.  Finite-time cooperative-tracking control for networked Euler-Lagrange systems , 2013 .

[10]  Zi-Jiang Yang,et al.  Distributed robust control for synchronised tracking of networked Euler–Lagrange systems , 2015, Int. J. Syst. Sci..

[11]  Yanchao Sun,et al.  Distributed finite-time configuration containment control for satellite formation , 2017 .

[12]  Guanghui Wen,et al.  Designing Fully Distributed Consensus Protocols for Linear Multi-Agent Systems With Directed Graphs , 2013, IEEE Transactions on Automatic Control.

[13]  Wenjie Dong,et al.  On consensus algorithms of multiple uncertain mechanical systems with a reference trajectory , 2011, Autom..

[14]  Chuanjiang Li,et al.  Backstepping-based distributed coordinated tracking for multiple uncertain Euler-Lagrange systems , 2016 .

[15]  Xin-Ping Guan,et al.  Finite Time Control Design for Bilateral Teleoperation System With Position Synchronization Error Constrained , 2016, IEEE Transactions on Cybernetics.