The visual servoing feedback torque stabilization controller of a nonholonomic mobile robot is developed in this paper. Firstly, a camera-object visual servoing kinematic model is introduced and a kinematic stabilizing controller is designed for the kinematic model. Then, an adaptive torque stabilizing controller is proposed in the presence of parametric uncertainties associated with the mechanical dynamics and the camera system. The stability of the proposed control system is rigorously proved through the Lyapunov method. Simulation results are provided to illustrate the performance of the control law.
AstolfiA (1996) Discontinuous control of nonholonomic systems. Systems & Control Letters27(1): 37–45.
2.
BrockettR (1983) Asymptotic stability and feedback stabilization. In: BrockettRWMillmanRSSussmanHJ (eds) Differential Geometric Control Theory. Boston, MA: Birkhäuser, 1983, pp.181–191.
3.
CampionGBastinGD’Andréa-NovelB (1996) Structural properties and classification of kinematic and dynamic models of wheeled mobile robots. IEEE Transaction on Robotics and Automation22(1): 47–62.
4.
ChangYYenHWangP (2012) An intelligent robust tracking control for a class of electrically driven mobile robots. Asian Journal of Control14(6): 1567–1579.
5.
DixonWDawsonDZergerogluE. (2001) Adaptive tracking control of a wheeled mobile robot via an uncalibrated camera system. IEEE Transactions on systems, Man and Cybernetics-part B: Cybernetics31(3): 341–352.
6.
DongW (2012) Tracking control of multiple-wheeled mobile robots with limited information of a desired trajectory. IEEE Transactions on Robotics28(1): 262–268.
7.
FangYDixonWDawsonD. (2005) Homography-based visual servo regulation of mobile robots. IEEE Transactions on systems, Man and Cybernetics-part B: Cybernetics35(5): 1041–1050.
8.
FierroRLewisF (1995) Control of a nonholonomic mobile robots: Backstepping kinematics into dynamics. In: proceedings of the 34th conference on decision and control, New York, 1995, pp.3805–3810.
9.
HuYGeSSuC (2004) Stabilization of uncertain nonholonomic systems via time-varying sliding mode control. IEEE Transaction on Automatic Control49(5): 757–763.
10.
JafarKMenhajM (2012) From nonlinear to fuzzy approaches in trajectory tracking control of wheeled mobile robots. Asian Journal of Control14(4): 960–973.
11.
KimMShinJHongS. (2003) Designing a robust adaptive dynamic controller for nonholonomic mobile robots under modeling uncertainty and disturbances. Mechatronics13(5): 507–519.
12.
KolmanovskyIMcClamrochN (1995) Developments in nonholonomic control problems. IEEE Control Systems15(6): 20–36.
13.
SamsonC (2005) Time-varying feedback stabilization of a car-like wheeled mobile robots. International Journal of Robotics Research12(1): 55–66.
14.
WangCLiangZJiaQ (2010) Dynamic feedback robust stabilization of nonholonomic mobile robots based on visual servoing. Journal of Control Theory and Applications8(2): 139–144.
15.
YangFWangC (2011) Adaptive stabilization for nonholonomic uncertain dynamic mobile robots based on visual servoing feedback. Acta Automatica Sinica37(7): 857–864.
16.
YuanZWangZChenQ (2009) Stabilization of uncertain chained nonholonomic systems using adaptive output feedback. Asian Journal of Control11(6): 620–632.
17.
ZhangXFangYLiuX (2011) Motion-estimation-based visual servoing of nonholonomic mobile robots. IEEE Transactions on Robotics27(6): 1167–1175.
