Global Robust Stabilization of Cascade-Connected Systems With Dynamic Uncertainties Without Knowing the Control Direction

This note addresses the global robust stabilization problem for cascade-connected nonlinear systems assuming the control direction is unknown and the system is subject to both dynamic and static uncertainties. A possible application of the main result of this note to the global robust servomechanism problem for nonlinear systems in lower triangular form is also discussed

[1]  Jing Wang,et al.  Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients , 2003, IEEE Trans. Autom. Control..

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

[3]  Zhengtao Ding,et al.  Adaptive control of non‐linear systems with unknown virtual control coefficients , 2000 .

[4]  R. Freeman,et al.  Robust Nonlinear Control Design: State-Space and Lyapunov Techniques , 1996 .

[5]  Zhengtao Ding,et al.  Robust tracking control of uncertain nonlinear systems with unknown control directions , 2001 .

[6]  Xudong Ye,et al.  Asymptotic regulation of time-varying uncertain nonlinear systems with unknown control directions , 1999, Autom..

[7]  Jie Huang,et al.  Global robust output regulation of output feedback systems with unknown high-frequency gain sign , 2006, IEEE Transactions on Automatic Control.

[8]  Ye Xudong,et al.  Universal λ-tracking for nonlinearly-perturbed systems without restrictions on the relative degree , 1999 .

[9]  Ye Xudong.  Brief Asymptotic regulation of time-varying uncertain nonlinear systems with unknown control directions , 1999 .

[10]  R. Nussbaum.  Some remarks on a conjecture in parameter adaptive control , 1983 .

[11]  Eduardo Sontag,et al.  Changing supply functions in input/state stable systems , 1995, IEEE Trans. Autom. Control..

[12]  X. Ye,et al.  Adaptive nonlinear design without a priori knowledge of control directions , 1998, IEEE Trans. Autom. Control..

[13]  Zhong-Ping Jiang,et al.  A small-gain control method for nonlinear cascaded systems with dynamic uncertainties , 1997, IEEE Trans. Autom. Control..

[14]  Randy A. Freeman,et al.  Robust Nonlinear Control Design , 1996 .

[15]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[16]  Jie Huang,et al.  A general framework for tackling the output regulation problem , 2004, IEEE Transactions on Automatic Control.