Global output feedback asymptotic stabilization for a class of nonlinear systems

The global asymptotic stabilization problem by output feedback is proposed for a class of nonlinear systems which have uncertain control coefficients and unmeasured states dependent growth. Firstly, by introducing a novel state transformation, the original system is transformed into a new system without uncertain control coefficients. Then, a suitable observer is applied and an output feedback controller is designed for the new system. It is shown that all the signals of the closed-loop system are global asymptotic stabilization by choosing the design parameters properly.

[1]  Prashanth Krishnamurthy,et al.  Global adaptive output feedback tracking for nonlinear systems linear in unmeasured states , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[2]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[3]  Wei Lin,et al.  Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm , 2002, IEEE Trans. Autom. Control..

[4]  Yungang Liu,et al.  Global stabilization by output feedback for a class of nonlinear systems with uncertain control coefficients and unmeasured states dependent growth , 2008, Science in China Series F: Information Sciences.

[5]  Laurent Praly Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate , 2003, IEEE Trans. Autom. Control..

[6]  Alessandro Astolfi,et al.  Norm estimators and global output feedback stabilization of nonlinear systems with ISS inverse dynamics , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[7]  Jong-Tae Lim,et al.  Stabilization of a class of nonlinear systems by adaptive output feedback , 2005, Autom..

[8]  Zhong-Ping Jiang,et al.  Linear output feedback with dynamic high gain for nonlinear systems , 2004, Syst. Control. Lett..

[9]  Jie Huang,et al.  Global output feedback stabilization for uncertain nonlinear systems with output dependent incremental rate , 2004, Proceedings of the 2004 American Control Conference.