Modeling and H∞ Robust Control for Mobile Robot

Based on kinematic and kinetic analyses of the 3-degree of freedom differentially driven wheels mobile robot, we proposed a nonlinear mathematical model with uncertain disturbance. This model was transformed into linear control systems through an approximate linearization algorithm, which is based on balanced flow pattern. After that, we designed a partial feedback H∞ robust controller based on LMI for the robots. The efficiency of our method received supports from the simulation results.

[1]  C. Moog,et al.  Nonlinear Control Systems: An Algebraic Setting , 1999 .

[2]  B. Moore Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[3]  Mircea Ivanescu,et al.  Using Artificial Potential Field Methods and Fuzzy Logic for Mobile Robot Control , 2006, 2006 12th International Power Electronics and Motion Control Conference.

[4]  A. Isidori Nonlinear Control Systems , 1985 .

[5]  Werner Leonhard Some Applications of Controlled Electrical Drives , 2001 .

[6]  Byung-Ju Yi,et al.  The dynamic modeling and analysis for an omnidirectional mobile robot with three caster wheels , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[7]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[8]  Jianda Han,et al.  An Adaptive UKF Algorithm and Its Application in Mobile Robot Control , 2006, 2006 IEEE International Conference on Robotics and Biomimetics.

[9]  Yulin Zhang,et al.  Dynamic model based robust tracking control of a differentially steered wheeled mobile robot , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[10]  Werner Leonhard,et al.  Control of Electrical Drives , 1990 .

[11]  Shangxian Peng,et al.  Neural network and fuzzy logic techniques based collision avoidance for a mobile robot , 1997, Robotica.

[12]  L. Ghaoui,et al.  History of linear matrix inequalities in control theory , 1994, Proceedings of 1994 American Control Conference - ACC '94.