The research on robust tracking control of constrained wheeled mobile robots

In this paper, a robust tracking scheme is proposed for nonholonomic wheeled mobile robots (WMRs) with parameter uncertainty, external disturbance and input constraints. In the framework of LMI optimization, the H/sub /spl infin// tracking scheme is consequently formulated as on-line solving the constrained H/sub /spl infin//control problem at each sampling time, updated with the actual state and the actual model parameters. By using dissipation theory, we discuss the properties inclusive of stability and H/sub /spl infin// performance. Simulation is performed to highlight the effectiveness of the proposed control law.

[1]  Henk Nijmeijer,et al.  Tracking Control of Mobile Robots: A Case Study in Backstepping , 1997, Autom..

[2]  F. Allgower,et al.  Disturbance attenuation with actuator constraints by hybrid state-feedback control , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[3]  Chien-Yu Lu,et al.  An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays , 2003, IEEE Trans. Autom. Control..

[4]  S. K. Jhajharia,et al.  Speed control of differentially driven wheeled mobile robots - tracking and synchronization , 2003, Proceedings of the 20th IEEE Instrumentation Technology Conference (Cat. No.03CH37412).

[5]  Ching-Hung Lee,et al.  Adaptive tracking control of nonholonomic mobile robots by computed torque , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[6]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot using neural networks , 1998, IEEE Trans. Neural Networks.

[7]  Ki Baek Kim.  Design of receding horizon controls for constrained time-varying systems , 2004, IEEE Transactions on Automatic Control.

[8]  Ilya Kolmanovsky,et al.  Developments in nonholonomic control problems , 1995 .

[9]  Ching-Hung Lee,et al.  Tracking control of unicycle-modeled mobile robots using a saturation feedback controller , 2001, IEEE Trans. Control. Syst. Technol..

[10]  Lihua Xie,et al.  Robust dissipative control for linear systems with dissipative uncertainty and nonlinear perturbation , 1997 .

[11]  David G. Ward,et al.  Stability analysis for reconfigurable systems with actuator saturation , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[12]  Jang Gyu Lee,et al.  Point stabilization of mobile robots via state space exact feedback linearization , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).