Cooperative Tracking Control for Networked Lagrange Systems: Algorithms and Experiments
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摘要: 针对参数不确定条件下的网络化拉格朗日系统,提出了一种基于Lyapunov理论的分布式自适应协调控制器设计方法.区别于现有的网络化拉格朗日系统控制方法,本文的方法适用于更广泛的有向通信拓扑系统,即只要求通信拓扑包含一棵具有动态领导节点的生成树.进一步考虑邻节点系统的速度信息未知的情形,提出一种基于分布式滤波器的自适应协调跟踪控制方法.最后,给出了一个网络化多机械臂实验平台,进行了实验研究,验证了算法的有效性.Abstract: This paper considers the coordinated tracking problem for a group of Lagrange systems in the presence of parametric uncertainties. Distributed adaptive controllers are proposed with the aid of Lyapunov techniques. Compared with the previous work in the context of networked Lagrange systems control, the results in this paper are suitable for the general digraph communication topologies. Under the condition that the desired trajectory is only available to a portion of Lagrange systems, we discuss the cooperative tracking problem with general digraph communication topology, which contains a spanning tree with the root node being the active target system. Under the case where the neighbor0s velocity is unavailable, a distributed filter is introduced to overcome this deficiency. Experimental results on networked robot-arms are provided to show the effectiveness of the proposed control algorithms.
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Key words:
- Cooperative control /
- distributed control /
- digraph topology
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[1] Vicsek T, Czirók A, Ben-Jacob E, Cohen I, Shochet O. Novel type of phase transition in a system of self-driven particles. Physical Review Letters, 1995, 75(6): 1226-1229 [2] Jadbabaie A, Lin J, Morse A S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, 2003, 48(6): 988-1001 [3] Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 2004, 49(9): 1520-1533 [4] Ren W, Beard R. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 2005, 50(5): 655-661 [5] Lin Z Y, Francis B, Maggiore M. Necessary and sufficient graphical conditions for formation control of unicycles. IEEE Transactions on Automatic Control, 2005, 50(1): 121-127 [6] Chopra N, Spong M W. Passivity-based control of multi-agent systems. Advances in Robot Control: From Everyday Physics to Human-Like Movements. New York: Springer Verlag, 2006. 107-134 [7] Arcak M. Passivity as a design tool for group coordination. IEEE Transactions on Automatic Control, 2007, 52(8): 1380-1390 [8] Hong Y G, Gao L X, Cheng D Z, Hu J P. Lyapunov-based approach to multiagent systems with switching jointly connected interaction. IEEE Transactions on Automatic Control, 2007, 52(5): 943-948 [9] Ren W, Beard R W, Atkins E M. Information consensus in multivehicle cooperative control. IEEE Control Systems Magazine, 2007, 27(2): 71-82 [10] Olfati-Saber R, Fax J A, Murray R M. Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE, 2007, 95(1): 215-233 [11] Li Z K, Duan Z S, Chen G R, Huang L. Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint. IEEE Transactions on Circuits and Systems I, 2010, 57(1): 213-224 [12] Ren W. Distributed leaderless consensus algorithms for networked Euler-Lagrange systems. International Journal of Control, 2009, 82(1): 2137-2149 [13] Mei J, Ren W, Ma G F. Distributed coordinated tracking with a dynamic leader for multiple Euler-Lagrange systems. IEEE Transactions on Automatic Control, 2011, 56(6): 1415-1421 [14] Hokayem P F, Stipanovic D M, Spong M W. Semiautonomous control of multiple networked Lagrangian systems. International Journal of Robust and Nonlinear Control, 2009, 19(18): 2040-2055 [15] Chung S J, Slotine J J E. Cooperative robot control and concurrent synchronization of Lagrangian systems. IEEE Transactions on Robotics, 2009, 25(3): 686-700 [16] Sun D, Shao X Y, Feng G. A model-free cross-coupled control for position synchronization of multi-axis motions: theory and experiments. IEEE Transactions on Control Systems Technology, 2007, 15(2): 306-314 [17] Chen Gang, Yu Ming. Synchronizing control and analysis of distributed passive systems. Acta Automatica Sinica, 2012, 38(5): 882-888 (in Chinese) [18] Qu Z. Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles. New York: Springer-Verlag, 2009 [19] Xie G M, Wang L. Consensus control for a class of networks of dynamic agents. International Journal of Robust and Nonlinear Control, 2007, 7(10-11): 941-957 [20] Ma H B. Decentralized adaptive synchronization of a stochastic discrete-time multi-agent dynamic model. SIAM Journal on Control and Optimization, 2009, 48(2): 859-880 [21] Ma H B, Zhao Y L, Fu M Y, Yang C G. Decentralized adaptive control for a class of semi-parametric uncertain multi-agent systems. In: Proceedings of the 10th World Congress on Intelligent Control and Automation. Beijing, China: IEEE, 2012. 2060-2065
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