Global finite-time stabilization for a class of extended nonholonomic chained system

This article considers the finite-time stabilization problem for the "3 inputs, 2 chains, 1 generator" extented nonholonomic chained form system. By using the step-by-step design method and the finite-time stability theory, a multi-step stabilizer is proposed to make the corresponding closed-loop system is globally stable in a settled time. Finally, the simulation example show the correctness and the validity of the design method.

[1]  V. Haimo Finite time controllers , 1986 .

[2]  Zhihua Qu,et al.  Global-Stabilizing Near-Optimal Control Design for Nonholonomic Chained Systems , 2006, IEEE Transactions on Automatic Control.

[3]  Anthony M. Bloch,et al.  Optimal control of underactuated nonholonomic mechanical systems , 2006, 2006 American Control Conference.

[4]  Yiguang Hong,et al.  Stabilization of uncertain chained form systems within finite settling time , 2005, IEEE Transactions on Automatic Control.

[5]  S. Sastry,et al.  Nonholonomic motion planning: steering using sinusoids , 1993, IEEE Trans. Autom. Control..

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

[7]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[8]  Richard M. Murray,et al.  Nonholonomic control systems: from steering to stabilization with sinusoids , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

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

[10]  Yu-Ping Tian,et al.  Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control , 2002, Autom..

[11]  Linda Bushnell,et al.  Stabilization of multiple input chained form control systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[12]  O. J. Sordalen,et al.  Exponential stabilization of mobile robots with nonholonomic constraints , 1992 .

[13]  A. Bicchi,et al.  Optimal feedback control for route tracking with a bounded-curvature vehicle , 2001 .

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

[15]  R. W. Brockett,et al.  Asymptotic stability and feedback stabilization , 1982 .

[16]  Yiguang Hong,et al.  Finite-time stabilization and stabilizability of a class of controllable systems , 2002, Syst. Control. Lett..

[17]  B. d'Andrea-Novel,et al.  Transformation of the kinematic models of restricted mobility wheeled mobile robots with a single platform into chain forms , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.