Output-feedback stabilization for a class of nonlinear systems with unknown control coefficients

The problem of global stabilization by output-feedback is investigated for a class of nonlinear systems with unknown control coefficients. We firstly show that a coordinate transformation, the unknown control coefficients are lumped together and the original system is transformed into a new system for which control design becomes feasible. Secondly, for the new system, an appropriate state observer is introduced, and then based on the backstepping technique, the output-feedback controller is designed. It is shown that global asymptotic stability of the closed-loop system is guaranteed by appropriately choosing design parameters. Finally, an example is provided to demonstrate the effectiveness of the proposed design method.

[1]  Guoxiang Gu,et al.  Robust stabilization of MIMO nonlinear systems by backstepping , 1999, Autom..

[2]  Prashanth Krishnamurthy,et al.  Generalized adaptive output-feedback form with unknown parameters multiplying high output relative-degree states , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[3]  Shang Fang.  Globally Asymptotical Output-feedback Stabilization for Nonlinear Systems with Unmeasured States Dependent Growth , 2007 .

[4]  Li Xu,et al.  Output feedback adaptive robust precision motion control of linear motors , 2001, Autom..

[5]  Wei Lin,et al.  Adaptive regulation of uncertain nonlinear systems by output feedback: A universal control approach , 2007, Syst. Control. Lett..

[6]  M. Basar,et al.  Disturbance Attenuating Adaptive Controllers for Parametric Strict Feedback Nonlinear Systems With Output Measurements , 1999 .

[7]  Yungang Liu,et al.  Output-feedback Control for a Class of Uncertain Nonlinear Systems with Linearly Unmeasured States Dependent Growth , 2009 .

[8]  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.

[9]  Wei Lin,et al.  Adaptive control of nonlinearly parameterized systems: the smooth feedback case , 2002, IEEE Trans. Autom. Control..

[10]  I. Kanellakopoulos,et al.  Adaptive nonlinear control without overparametrization , 1992 .

[11]  Yungang Liu,et al.  Output-feedback Adaptive Control for a Class of Nonlinear Systems with Unknown Control Directions , 2007 .

[12]  Jong-Tae Lim,et al.  Global exponential stabilization of a class of nonlinear systems by output feedback , 2005, IEEE Transactions on Automatic Control.

[13]  Jing Zhou,et al.  Adaptive output control of a class of uncertain chaotic systems , 2007, Syst. Control. Lett..

[14]  Miroslav Krstic,et al.  Adaptive nonlinear output-feedback schemes with Marino-Tomei controller , 1996 .

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

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

[17]  Georgi M. Dimirovski,et al.  Robust stabilization of a class of non‐minimum‐phase nonlinear systems in a generalized output feedback canonical form , 2009 .

[18]  Riccardo Marino,et al.  An adaptive output feedback control for a class of nonlinear systems with time-varying parameters , 1999, IEEE Trans. Autom. Control..

[19]  Yunfeng Zheng,et al.  Adaptive output feedback control for a class of nonlinear systems with unknown virtual control coefficients signs , 2007 .

[20]  Wei Lin,et al.  Universal adaptive control of nonlinear systems with unknown growth rate by output feedback , 2006, Autom..

[21]  Masayoshi Tomizuka,et al.  Adaptive robust control of MIMO nonlinear systems in semi-strict feedback forms , 2001, Autom..

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

[23]  Martin Guay,et al.  Adaptive output feedback extremum seeking receding horizon control of linear systems , 2006 .

[24]  P. Krishnamurthy,et al.  Adaptive output-feedback for nonlinear systems with no a priori bounds on parameters , 2005, Proceedings of the 2005, American Control Conference, 2005..

[25]  Keng Peng Tee,et al.  Adaptive control for parametric output feedback systems with output constraint , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.