Synchronizatin of Chaos in Star Coupled Motor Networks Based on Lyapunov Stability Theory Based on Lyapunov Stability Theory
WANG Mufeng1, WEI Duqu1, LUO Xiaoshu1, ZHANG Bo2, QU Lili3
1. College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China; 2. College of Electric Power, South China University of Technology, Guangzhou 510610, China; 3. School of Automation, Foshan University,Foshan 528000, China
Abstract:The stability operation of the motor drive system is seriously affected when the motors in networks fall into chaotic motion. In this paper, coupling functions are designed to achieve asymptotically synchronization based on Lyapunov stability theory and coordination control of multi-agent. Theoretical analysis and numerical simulation results demonstrate the correctness and effectiveness of the proposed control strategy. This control strategy may play an important role in the stability operation of complex motor networks in industrial automation manufacturing.
汪慕峰, 韦笃取, 罗晓曙, 张波, 屈莉莉. 基于Lyapunov稳定性理论的星型耦合电动机网络的混沌同步[J]. 复杂系统与复杂性科学, 2017, 14(2): 26-30.
WANG Mufeng, WEI Duqu, LUO Xiaoshu, ZHANG Bo, QU Lili. Synchronizatin of Chaos in Star Coupled Motor Networks Based on Lyapunov Stability Theory Based on Lyapunov Stability Theory[J]. Complex Systems and Complexity Science, 2017, 14(2): 26-30.
[1] 韦笃取, 张波. 基于无源性理论自适应镇定具有v/f输入的永磁同步电动机的混沌运动[J].物理学报, 2012, 61(3): 030505. Wei Duqu, Zhang Bo. Robust suppressing chaos in permanent magnet synchronous motor with v/f control based on passivity theory[J].Acta Physica Sinica, 2012, 61(3): 030505. [2] Wei D Q, Zhang B, Qiu D Y, et al. Effects of current time-delayed feedback on the dynamics of a permanent-magnet synchronous motor[J].IEEE Trans Circ Syst II, Exp, 2010, 57(6): 456-460. [3] 于金鹏,于海生,高军伟,等。基于模糊逼近的永磁同步电机混沌控制[J].复杂系统与复杂性科学, 2013, 10 (4): 86-91. Yu Jinpeng, Yu Haisheng, Gao Junwei, et al. Chaos control of permanent magnet synchronous motors based on fuzzy-approximation[J].Complex Systems and Complexity Science, 2013, 10 (4): 86-91. [4] Blair D D, Jensen D L, Doan D R, et al. Networked intelligent motor-control systems[J].IEEE Industry Applications Magazine, 2001, 7(6): 18-25. [5] Walsh G C, Ye H. Scheduling of networked control systems[J].IEEE Control Systems, 2001, 21(1): 57-65. [6] Wei D Q, Luo X S, Zhang B. Chaos in complex motor networks induced by Newman-Watts small-world connections[J].Chin Phys B, 2011, 20(12): 128903. [7] Mai X H, Wei D Q, Zhang B, et al. Controlling chaos in complex motor networks by environment[J].IEEE Trans Circ Syst Ⅱ, 2015, 62(6): 603-607. [8] Lewis F L. A survey of linear singular system[J].Syst and Signal Process, 1986, 5(1): 3-36. [9] Liu B, Lu W, Chen T. Synchronization in complex networks with stochastically switching coupling structures[J].IEEE Trans Autom Control, 2012, 57(3): 154-760. [10] Zhao Y, Wen G, Duan Z. A new observer-type consensus protocol for linear multi-agent dynamical system[J].Asian J Control, 2013, 15(2): 571-582. [11] Du H, Li S, Ding S. Bounded consensus algorithms for multi-agent systems in directed networks[J].Asian J Control, 2013, 15(1): 282-291. [12] Cheng L, Hou Z, Tan M. Decentralized adaptive consensus control for multi-manipulator system with uncertain dynamics[C].Proc 2008 IEEE Int Conf on Systems, Man and Cybernetics, Singapore, 2008, 2712-2717. [13] Hemati N, Kwatny H. Bifurcation of equilibria and chaos in permanent-magnet machines[C].Proceeding of the 32nd Conference on Decision and Control, San Antonio, Texas, 1993: 475-479. [14] Wei D Q, Zhang B, Luo X S, et al. Effects of couplings on the collective dynamics of permanent-magnet synchronous motors[J].IEEE Trans Circuits Syst II Exp Briefs, 2013, 60(10): 692-696.