Adaptive stabilization of uncertain nonholonomic systems by output feedback

The adaptive output feedback control strategy is presented for a class of nonholonomic systems in chained form with nonlinearity uncertainties. A new observer and a filter are introduced for the states and parameter estimation. The proposed control strategies guarantee the convergence of the closed-loop system. The simulation example demonstrates the efficiency of the proposed method.

[1]  Claude Samson,et al.  Developments in Time-Varying Feedback Stabilization of Nonlinear Systems , 1998 .

[2]  Shuzhi Sam Ge,et al.  Feedback linearization and discontinuous control of second-order nonholonomic chained systems , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).

[3]  Khac Duc Do,et al.  Adaptive global stabilization of nonholonomic systems with strong nonlinear drifts , 2002, Syst. Control. Lett..

[4]  Zhong-Ping Jiang,et al.  A recursive technique for tracking control of nonholonomic systems in chained form , 1999, IEEE Trans. Autom. Control..

[5]  Shuzhi Sam Ge,et al.  Adaptive stabilization of uncertain nonholonomic systems by state and output feedback , 2003, Autom..

[6]  Zhong-Ping Jiang,et al.  Robust exponential regulation of nonholonomic systems with uncertainties , 2000, Autom..

[7]  Claude Samson,et al.  Time-varying Feedback Stabilization of Car-like Wheeled Mobile Robots , 1993, Int. J. Robotics Res..

[8]  O. J. Sørdalen,et al.  Exponential stabilization of nonholonomic chained systems , 1995, IEEE Trans. Autom. Control..

[9]  I. Neĭmark,et al.  Dynamics of Nonholonomic Systems , 1972 .

[10]  A. Astolfi.  Discontinuous control of nonholonomic systems , 1996 .

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

[12]  H. Nijmeijer,et al.  Practical stabilization of nonlinear systems in chained form , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[13]  Shuzhi Sam Ge,et al.  Feedback linearization and stabilization of second-order non-holonomic chained systems , 2001 .

[14]  Linda Bushnell,et al.  Stabilization of multiple input chained form control systems , 1995 .