Adaptive unified controller of arbitrary trajectory tracking for wheeled mobile robots with unknown parameters

被引:4
作者
Pang, Hai-Long [1 ]
Ma, Bao-Li [1 ]
机构
[1] School of Automation Science and Electrical Engineering, Beihang University
来源
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2014年 / 31卷 / 03期
关键词
Adaptive control; Practical stabilization; Unified controller; Wheeled mobile robots;
D O I
10.7641/CTA.2014.13064
中图分类号
学科分类号
摘要
We investigate the unified control problem of arbitrary trajectory tracking for wheeled mobile robots (WMRs) with unknown model parameters. After converting the robot model to an advantageous form by introducing coordinate transformation and input transformation as well as auxiliary dynamics, and employing Lyapunov method and adaptive technique, we develop an adaptive unified controller which ensures the tracking errors to be globally uniformly ultimately bounded (GUUB). Furthermore, the ultimate bounds of tracking errors can be made arbitrarily small by adjusting control parameters. The effectiveness of the proposed control law is validated by simulation results.
引用
收藏
页码:285 / 292
页数:7
相关论文
共 29 条
[1]  
Brockett R.W., Asymptotic Stability and Feedback Stabilization, (1983)
[2]  
Bloch A.M., Reyhanoglu M., Mcclamroch N.H., Control and stabilization of nonholonomic dynamic systems, IEEE Transactions on Automatic Control, 37, 11, pp. 1746-1757, (1992)
[3]  
De W.C.C., Sordalen O.J., Exponential stabilization of mobile robots with nonholonomic constraints, IEEE Transactions on Automatic Control, 37, 11, pp. 1791-1797, (1992)
[4]  
Samson C., Velocity and torque feedback control of a nonholonomic cart, Advanced Robot Control, pp. 125-151, (1991)
[5]  
Jiang Z.P., Iterative design of time-varying stabilizers for multi-input systems in chained form, Systems & Control Letters, 28, 5, pp. 255-262, (1996)
[6]  
Samson C., Control of chained systems application to path following and time-varying point-stabilization of mobile robots, IEEE Transactions on Automatic Control, 40, 1, pp. 64-77, (1995)
[7]  
Godhavn J.M., Egeland O., A Lyapunov approach to exponential stabilization of nonholonomic systems in power form, IEEE Transactions on Automatic Control, 42, 7, pp. 1028-1032, (1997)
[8]  
M'closkey R.T., Murray R.M., Exponential stabilization of driftless nonlinear control systems using homogeneous feedback, IEEE Transactions on Automatic Control, 42, 5, pp. 614-628, (1997)
[9]  
Escobar G., Ortega R., Reyhanoglu M., Regulation and tracking of the nonholonomic double integrator: A field-oriented control approach, Automatica, 34, 1, pp. 125-131, (1998)
[10]  
Dixon W.E., Jiang Z.P., Dawson D.M., Global exponential setpoint control of wheeled mobile robots: a Lyapunov approach, Automatica, 36, 11, pp. 1741-1746, (2000)