Global exponential stabilization of a class of nonlinear systems by output feedback

This work extends the existing output feedback stabilization schemes for the systems in a "perturbed chain-of-integrator" form. In particular, we further relax the triangular-type conditions imposed on the perturbed terms and analyze the robust property of the linear output feedback control law using the newly proposed condition.

[1]  L. Praly.  Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[2]  Ye Xudong,et al.  Brief Universal stabilization of feedforward nonlinear systems , 2003 .

[3]  Hassan K. Khalil,et al.  A separation principle for the stabilization of a class of nonlinear systems , 1997, 1997 European Control Conference (ECC).

[4]  Wei Lin,et al.  Smooth output feedback stabilization of planar systems without controllable/observable linearization , 2002, IEEE Trans. Autom. Control..

[5]  R. Rajamani.  Observers for Lipschitz nonlinear systems , 1998, IEEE Trans. Autom. Control..

[6]  Wei Lin,et al.  Nonsmooth output feedback stabilization and tracking of a class of nonlinear systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[7]  W. Dayawansa,et al.  Global stabilization by output feedback: examples and counterexamples , 1994 .

[8]  Wei-Song Lin,et al.  Synthesis of upper-triangular non-linear systems with marginally unstable free dynamics using state-dependent saturation , 1999 .

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

[10]  A. N. Atassi,et al.  Separation results for the stabilization of nonlinear systems using different high-gain observer designs ☆ , 2000 .

[11]  Wei Lin,et al.  New results on global stabilization of feedforward systems via small feedback , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[12]  J. Gauthier,et al.  A simple observer for nonlinear systems applications to bioreactors , 1992 .

[13]  J. Tsinias.  A theorem on global stabilization of nonlinear systems by linear feedback , 1991 .