Distributed Adaptive Synchronization of Networked Euler-Lagrange Systems with Communication Delays
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摘要: 对一类含未知参数的Euler-Lagrange系统协调控制问题进行了研究, 提出了一种自适应控制算法. 该算法容许通信网络为最一般的伪强连通图, 并允许通信时延的存在. 对系统中领航者为静态和动态两种情况分别进行了研究, 设计了相应的控制器.研究结果表明,在仅有部分个体能够和领航者进行通信的情况下, 控制器能保证网络中其他个体最终和领航者趋于一致. 运用Lyapunov稳定性定理和Barbalat 定理等对自适应控制器的稳定性进行了证明,并利用数值仿真验证了算法的有效性.
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关键词:
- Euler-Lagrange系统 /
- 协调控制 /
- 通信时延 /
- 自适应控制
Abstract: This paper studies coordination control of networked Euler-Lagrange systems with communication time delay and unknown parameters. An adaptive controller is proposed which allows for the most general quasi-strongly connected communication topology with communication delay. We design a distributed controller for the case where a stationary leader exists. We also discuss the case of a dynamic leader. It is shown that the proposed controllers can guarantee cooperative synchronization even if only partial agents have access to the leader. Lyapunov stability theorem and Barbalat's Lemma are used to prove the stability of the proposed controllers. Numerical simulation is also presented to illustrate the effectiveness of the controller. -
[1] Dupree K, Patre P M, Wilcox Z D, Dixon W E. Asymptotic optimal control of uncertain nonlinear Euler-Lagrange systems. Automatica, 2011, 47(1): 99-107[2] Patre P M, MacKunis W, Johnson M, Dixon W E. Composite adaptive control for Euler-Lagrange systems with additive disturbances. Automatica, 2010, 46(1): 140-147[3] Patre P M, MacKunis W, Dupree K, Dixon W E. Modular adaptive control of uncertain Euler-Lagrange systems with additive disturbances. IEEE Transactions on Automatic Control, 2011, 56(1): 155-160[4] Ren W. Distributed leaderless consensus algorithms for networked Euler-Lagrange systems. International Journal of Control, 2009, 82(11): 2137-2149[5] Meng Z Y, Ren W, You Z. Distributed finite-time attitude containment control for multiple rigid bodies. Automatica, 2010, 46(12): 2092-2099[6] Khoo S, Xie L H, Man Z H. Robust finite-time consensus tracking algorithm for multirobot systems. IEEE/ASME Transactions on Mechatronics, 2009, 14(2): 219-226[7] Min H, Sun F, Wang S, Li H. Distributed adaptive consensus algorithm for networked Euler-Lagrange systems. IET Control Theory Application, 2011, 5(1): 145-154[8] Mei J, Ren W, Ma G F. Containment control for multiple Euler-Lagrange systems with parametric uncertainties in directed networks. In: Proceedings of the 2011 American Control Conference. San Francisco, USA: IEEE, 2011. 2186 -2191[9] Nuo E, Ortega R, Basaez L. An adaptive controller for nonlinear teleoperators. Automatica, 2010, 46(1): 155-159[10] Nuo E, Basaez L, Ortega R, Spong M W. Position tracking for non-linear teleoperators with variable time delay. The International Journal of Robotics Research, 2009, 28(7): 895-910[11] Ren W, Beard R W. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 2005, 50(5): 655 -661[12] Lopes O. Forced oscillations in nonlinear neutral differential equations. SIAM Journal on Applied Mathematics, 1975, 29(1): 196-207[13] Niculescu S I. Delay Effects on Stability: a Robust Control Approach. New York: Springer-Verlag, 2001[14] Cao Y C, Ren W, Li Y. Distributed discrete-time coordinated tracking with a time-varying reference state and limited communication. Automatica, 2009, 45(5): 1299-1305[15] Meng Z Y, Ren W, Cao Y C, Zheng Y. Leaderless and leader-following consensus with communication and input delays under a directed network topology. IEEE Transactions on Systems, Man, and Cybernetics —Part B: Cybernetics, 2011, 41(1): 75-88[16] Kang W, Yeh H H. Co-ordinated attitude control of multi-satellite systems. International Journal of Robust and Nonlinear Control, 2002, 12(2-3): 185-205[17] Min H, Wang S, Sun F, Gao Z, Wang Y. Distributed six degree-of-freedom spacecraft formation control with possible switching topology. IET Control Theory Application, 2011, 5(9): 1120-1130[18] Arcak M. Passivity as a design tool for group coordination. IEEE Transactions on Automatic Control, 2007, 52(8): 1380-1390[19] Ren W. Distributed attitude alignment in spacecraft formation flying. International Journal of Adaptive Control and Signal Processing, 2007, 21(2-3): 95-113[20] Abdessameud A, Tayebi A. Attitude synchronization of a spacecraft formation without velocity measurement. In: Proceedings of IEEE Conference on Decision and Control. Cancun, Mexico: IEEE, 2008. 3719-3724[21] Chung S J, Ahsun U, Slotine J J E. Application of synchronization to formation flying spacecraft: Lagrangian approach. Journal of Guidance, Control, and Dynamics, 2009, 32(2): 512-526[22] Wang P K C, Hadaegh F Y, Lau K. Synchronized formation rotation and attitude control of multiple free-flying spacecraft. Journal of Guidance, Control, and Dynamic, 1999, 22(1): 28-35[23] Dimarogonas D V, Tsiotras P, Kyriakopoulos K J. Leader-follower cooperative attitude control of multiple rigid bodies. Systems Control Letters, 2009, 58(6): 429-435[24] Wang Shuai, Yang Wen, Shi Hong-Bo. Consensus-based filtering algorithm with packet-dropping. Acta Automatica Sinica, 2010, 36(12): 1689-1696(王帅, 杨文, 侍洪波. 带丢包一致性滤波算法研究. 自动化学报, 2010, 36(12): 1689-1696)[25] Xiao F, Wang L. State consensus for multi-agent systems with switching topologies and time-varying delays. International Journal of Control, 2006, 79(10): 1277-1284[26] Lin P, Jia Y M, Li L. Distributed robust H∞ consensus control in directed networks of agents with time-delay. Systems Control Letters, 2008, 57(8): 643-653[27] Tian Y P, Liu C L. Consensus of multi-agent systems with diverse input and communication delays. IEEE Transactions on Automatic Control, 2008, 53(9): 2122-2128[28] Tian Y P, Liu C L. Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations. Automatica, 2009, 45(5): 1347-1353[29] Münz U, Papachristodoulou A, Allgwer F. Delay robustness in consensus problems. Automatica, 2010, 46(5): 1252 -1265[30] Münz U, Papachristodoulou A, Allgower F. Consensus in multi-agent systems with coupling delays and switching topology. IEEE Transactions on Automatic Control, 2011, 56(12): 2976-2982[31] Zhang L X. H∞ estimation for discrete-time piecewise homogeneous Markov jump linear systems. Automatica, 2009, 45(11): 2570-2576[32] Zhang L X, Jiang B. Stability of a class of switched linear systems with uncertainties and average dwell time switching. International Journal of Innovative Computing, Information and Control, 2010, 6(2): 667-676[33] Zhang L X, Lam J. Necessary and sufficient conditions for analysis and synthesis of Markov jump linear systems with incomplete transition descriptions. IEEE Transactions on Automatic Control, 2010, 55(7): 1695-1701[34] Hale J K, Lunel S M V. Introduction to Functional Differential Equations. New York: Springer, 1993[35] Ren W. Multi-vehicle consensus with a time-varying reference state. Systems Control Letters, 2007, 56(7-8): 474-483
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