吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (02): 466-471.

Previous Articles     Next Articles

Decentralized backstepping control for reconfigurable modular robots based on ESO and DSC

DU Yan-li1,2, TANG Zhi-guo1, LI Yuan-chun1,3   

  1. 1. State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130022, China;
    2. College of Electrical Information Engineering, Beihua University, Jilin 132021, China;
    3. Department of Control Engineering, Changchun University of Technology, Changchun 130012, China
  • Received:2011-10-31 Online:2013-03-01 Published:2013-03-01

Abstract: A decentralized backstepping controller based on third-order Extension State Observer (ESO) and Dynamic Surface Control (DSC) for reconfigurable modular robots with interconnection terms is presented. The coupling interconnection terms of the joints and modeling uncertainties are estimated and compensated in real-time using third-order ESOs, in which parameters are adjusted adaptively using Particle Swarm Optimization (PSO) algorithm. Based on DSC, the decentralized backstepping controller is used to overcome the problem of "explosion terms" caused by differential coefficient calculation. The stability of the controller is analyzed by Lyapunov theory. The controller is applied to the trajectory tracking control of a 4-DOF reconfigurable modular robot. Simulation results verify the validity of the presented controller in dealing with the coupling interconnection terms and solving the problem of "explosion terms" in backstepping control.

Key words: automatic control technology, reconfigurable modular robots, decentralized control, backstepping control

CLC Number: 

  • TP24
[1] Liu Yan-jun, Tong Shao-cheng, Li Tie-shan. Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems[J]. Fuzzy Sets and Systems, 2011, 64(2): 25-44.

[2] 吴昭景,解学军,井元伟,等. 具有动态和静态关联项大系统的鲁棒分散自适应镇定[J]. 控制与决策, 2004, 19(8):862-866. Wu Zhao-jing,Xie Xue-jun,Jing Yuan-wei, et al. Robust decentralized adaptive stabilization for large-scale systems with dynamic and static interconnections[J].Control and Decision, 2004,19(8):862-866.

[3] Wang Wen-June, Luoh Leh. Stability and stabilization of fuzzy large-scale systems[J]. IEEE Transactions on Fuzzy Systems, 2004, 12(3):309-315.

[4] 彭金柱,王耀南,余洪山. 基于神经网络的非完整移动机器人鲁棒跟踪控制[J]. 中国机械工程, 2008, 19(7): 823-827. Peng Jin-zhu, Wang Yao-nan, Yu Hong-shan. Neural network-based robust tracking control for nonholonomic mobile robot[J]. China Mechanical Engineering, 2008, 19(7): 823-827.

[5] Lin H-C, Lee C-S. Predictability of back propagation and discrete Hopfield neural networks in harmonic compensation systems//IEEE Power System Technology, Perth WA, 2000.

[6] Šiljak D D, Stipanovi D M. Robust stabilization of nonlinear systems: the LMI approach[J]. Journal of Applied Mathematics and Decision Science, 2000, 6(5): 461-493.

[7] Zhang T P, Ge S S. Direct adaptive NN control of nonlinear systems in strict-feedback form using dynamic surface control//IEEE Int Symposium on Intelligent Control, Singapore, 2007.

[8] Swaroop D, Hedrick J K, Yip P P, et al. Dynamic surface control for a class of nonlinear systems[J]. IEEE Trans on Automatic Control, 2000, 45(10): 1893-1899.

[9] Tan Kok Kiong, Huang Sunan, Lee Tong Heng. Decentralized adaptive controller design of large-scale uncertain robotic systems[J]. Automatica, 2009, 45(1):161-166.

[10] 邵立伟,廖晓钟,夏元清,等. 三阶离散扩张状态观测器的稳定性分析及其综合[J]. 信息与控制, 2008, 37(2): 135-139. Shao Li-wei, Liao Xiao-zhong, Xia Yuan-qing, et al. Stability analysis and synthesis of third order discrete extended state observer[J]. Information and Control, 2008, 37(2):135-139.

[11] 朱明超. 可重构模块机器人运动学、动力学与控制方法研究. 长春:吉林大学通信工程学院, 2006. Zhu Ming-chao. Study on the kinematics, dynamics and control method of reconfigurable modular robots. Changchun: College of Communication Engineering, Jilin University, 2006.
[1] GU Wan-li,WANG Ping,HU Yun-feng,CAI Shuo,CHEN Hong. Nonlinear controller design of wheeled mobile robot with H performance [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1811-1819.
[2] LI Zhan-dong,TAO Jian-guo,LUO Yang,SUN Hao,DING Liang,DENG Zong-quan. Design of thrust attachment underwater robot system in nuclear power station pool [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1820-1826.
[3] WANG De-jun, WEI Wei-li, BAO Ya-xin. Actuator fault diagnosis of ESC system considering crosswind interference [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1548-1555.
[4] YAN Dong-mei, ZHONG Hui, REN Li-li, WANG Ruo-lin, LI Hong-mei. Stability analysis of linear systems with interval time-varying delay [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1556-1562.
[5] TIAN Yan-tao, ZHANG Yu, WANG Xiao-yu, CHEN Hua. Estimation of side-slip angle of electric vehicle based on square-root unscented Kalman filter algorithm [J]. 吉林大学学报(工学版), 2018, 48(3): 845-852.
[6] ZHANG Shi-tao, ZHANG Bao, LI Xian-tao, WANG Zheng-xi, TIAN Da-peng. Enhancing performance of FSM based on zero phase error tracking control [J]. 吉林大学学报(工学版), 2018, 48(3): 853-858.
[7] WANG Lin, WANG Hong-guang, SONG Yi-feng, PAN Xin-an, ZHANG Hong-zhi. Behavior planning of a suspension insulator cleaning robot for power transmission lines [J]. 吉林大学学报(工学版), 2018, 48(2): 518-525.
[8] HU Yun-feng, WANG Chang-yong, YU Shu-you, SUN Peng-yuan, CHEN Hong. Structure parameters optimization of common rail system for gasoline direct injection engine [J]. 吉林大学学报(工学版), 2018, 48(1): 236-244.
[9] ZHU Feng, ZHANG Bao, LI Xian-tao, WANG Zheng-xi, ZHANG Shi-tao. Gyro signal processing based on strong tracking Kalman filter [J]. 吉林大学学报(工学版), 2017, 47(6): 1868-1875.
[10] JIN Chao-qiong, ZHANG Bao, LI Xian-tao, SHEN Shuai, ZHU Feng. Friction compensation strategy of photoelectric stabilized platform based on disturbance observer [J]. 吉林大学学报(工学版), 2017, 47(6): 1876-1885.
[11] FENG Jian-xin. Recursive robust filtering for uncertain systems with delayed measurements [J]. 吉林大学学报(工学版), 2017, 47(5): 1561-1567.
[12] XU Jin-kai, WANG Yu-tian, ZHANG Shi-zhong. Dynamic characteristics of a heavy duty parallel mechanism with actuation redundancy [J]. 吉林大学学报(工学版), 2017, 47(4): 1138-1143.
[13] HU Yun-feng, GU Wan-li, LIANG Yu, DU Le, YU Shu-you, CHEN Hong. Start-stop control of hybrid vehicle based on nonlinear method [J]. 吉林大学学报(工学版), 2017, 47(4): 1207-1216.
[14] SHEN Shuai, ZHANG Bao, LI Xian-tao, ZHU Feng, JIN Chao-qiong. Acceleration feedback control based on tracking differentiator [J]. 吉林大学学报(工学版), 2017, 47(4): 1217-1224.
[15] SHAO Ke-yong, CHEN Feng, WANG Ting-ting, WANG Ji-chi, ZHOU Li-peng. Full state based adaptive control of fractional order chaotic system without equilibrium point [J]. 吉林大学学报(工学版), 2017, 47(4): 1225-1230.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!