Polynomial trajectory tracking of networked Euler-Lagrange systems

作者: Yunpeng Wang , Long Cheng , Zeng-Guang Hou , Min Tan , Guibin Bian

DOI: 10.1109/CHICC.2014.6896862

关键词: MathematicsPID controllerTracking (particle physics)TrajectoryControl theoryGraph (abstract data type)Protocol (object-oriented programming)Quadratic equationSpanning treePolynomial

摘要: The coordinated tracking problem of networked Euler-Lagrange systems is studied in this paper. According to the knowledge classical control, an integral term can eliminate steady-state error when solving problem. A proportional-integral-derivative (PID) protocol then first proposed solve where leader has a quadratic trajectory. By properly choosing parameters, it proved that all followers asymptotically track leader's trajectory if communication topology graph spanning tree. Furthermore, so-called PI m D derived by adding some high-order terms. It shown with having higher-order polynomial Finally, two simulation examples are presented demonstrate effectiveness protocol.

参考文章(25)
He Cai, Jie Huang, Distributed leader-following consensus for multiple Euler-Lagrange systems under switching network chinese control conference. pp. 7228- 7233 ,(2013)
Long Cheng, Zeng-Guang Hou, Min Tan, Yingzi Lin, Wenjun Zhang, Neural-Network-Based Adaptive Leader-Following Control for Multiagent Systems With Uncertainties IEEE Transactions on Neural Networks. ,vol. 21, pp. 1351- 1358 ,(2010) , 10.1109/TNN.2010.2050601
Yunpeng Wang, Long Cheng, Zeng-Guang Hou, Min Tan, Huiyang Liu, Min Wang, Necessary and sufficient conditions for solving leader-following problem of multi-agent systems with communication noises chinese control and decision conference. pp. 778- 783 ,(2013) , 10.1109/CCDC.2013.6561027
Zi-Jiang Yang, Yoshiyuki Shibuya, Pan Qin, Distributed robust control for synchronised tracking of networked Euler–Lagrange systems International Journal of Systems Science. ,vol. 46, pp. 720- 732 ,(2015) , 10.1080/00207721.2013.797036
Chien Chern Cheah, Saing Paul Hou, Jean Jacques E. Slotine, Brief paper: Region-based shape control for a swarm of robots Automatica. ,vol. 45, pp. 2406- 2411 ,(2009) , 10.1016/J.AUTOMATICA.2009.06.026
Dong Sun, Xiaoyin Shao, Gang Feng, A Model-Free Cross-Coupled Control for Position Synchronization of Multi-Axis Motions: Theory and Experiments IEEE Transactions on Control Systems and Technology. ,vol. 15, pp. 306- 314 ,(2007) , 10.1109/TCST.2006.883201
Emmanuel Nuño, Romeo Ortega, Bayu Jayawardhana, Luis Basañez, Coordination of multi-agent Euler–Lagrange systems via energy-shaping: Networking improves robustness Automatica. ,vol. 49, pp. 3065- 3071 ,(2013) , 10.1016/J.AUTOMATICA.2013.07.002
Long Cheng, Yunpeng Wang, Zeng-Guang Hou, Min Tan, Zhiqiang Cao, Sampled-data based average consensus of second-order integral multi-agent systems: Switching topologies and communication noises Automatica. ,vol. 49, pp. 1458- 1464 ,(2013) , 10.1016/J.AUTOMATICA.2013.02.004
Yunpeng Wang, Long Cheng, Zeng-Guang Hou, Min Tan, Chao Zhou, Ming Wang, Consensus seeking in a network of discrete-time linear agents with communication noises International Journal of Systems Science. ,vol. 46, pp. 1874- 1888 ,(2015) , 10.1080/00207721.2013.837544