A dual‐observer approach for global output feedback stabilization of planar nonlinear systems with output‐dependent growth rates

SUMMARY In this paper, we investigate the problem of global output feedback stabilization for a class of planar nonlinear systems under a more general growth condition, which encompasses both lower-order and higher-order state growths with output-dependent rates. For more accurate estimation, two new observers with nonlinear gains are constructed to estimate the states on the lower-order and higher-order scales, respectively. The estimates produced from the dual-observer are used delicately in the output feedback control law with both lower-order and higher-order modes. The overall stability of the system is guaranteed by rigorously choosing these nonlinear gains in the control law and the dual-observer.

[1]  Shihua Li,et al.  Semi‐global stabilization via linear sampled‐data output feedback for a class of uncertain nonlinear systems , 2015 .

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

[3]  A. Astolfi,et al.  Nonlinear output feedback design via domination and generalized weighted homogeneity , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

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

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

[6]  Chih-Kai Chang,et al.  Robust RBFN Control for Linear InductionMotor Drive Using FPGA , 2008, IEEE Transactions on Power Electronics.

[7]  Wei Lin,et al.  Robust control of uncertain systems with polynomial nonlinearity by output feedback , 2009 .

[8]  R. Marino,et al.  Dynamic output feedback linearization and global stabilization , 1991 .

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

[10]  Shihua Li,et al.  Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems , 2013, Autom..

[11]  MingQing Xiao,et al.  Nonlinear Observer Design in the Siegel Domain , 2002, SIAM J. Control. Optim..

[12]  Ji Li,et al.  A dual‐observer design for global output feedback stabilization of nonlinear systems with low‐order and high‐order nonlinearities , 2009 .

[13]  Wei Lin,et al.  Further results on global stabilization of uncertain nonlinear systems by output feedback , 2005 .

[14]  Shihua Li,et al.  Robust Control for PWM-Based DC–DC Buck Power Converters With Uncertainty Via Sampled-Data Output Feedback , 2015, IEEE Transactions on Power Electronics.

[15]  Qi Gong,et al.  Global practical tracking of a class of nonlinear systems by output feedback , 2007, Autom..

[16]  Clive Roberts,et al.  A Power-Management Strategy for Multiple-Unit Railroad Vehicles , 2011, IEEE Transactions on Vehicular Technology.

[17]  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.

[18]  Gildas Besancon,et al.  State-Affine Systems and Observer-Based Control , 1998 .

[19]  Ji Li,et al.  Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems , 2010, Int. J. Control.

[20]  Prashanth Krishnamurthy,et al.  Global high-gain-based observer and backstepping controller for generalized output-feedback canonical form , 2003, IEEE Trans. Autom. Control..

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

[22]  Rongfang Rachel Liu,et al.  Energy-efficient operation of rail vehicles , 2003 .

[23]  Guillaume Jouffroy,et al.  A note on state and parameter estimation in a van der Pol oscillator , 2010, Autom..

[24]  Jie Huang,et al.  Global robust output regulation for output feedback systems , 2005, IEEE Transactions on Automatic Control.

[25]  Lorenzo Marconi,et al.  Robust design of nonlinear internal models without adaptation , 2012, Autom..

[26]  Xiangyu Wang,et al.  Global Output Feedback Stabilization for a Class of Nonlinear Planar Systems with Output-Dependent Growth Rates , 2013, ICONS.

[27]  Chunjiang Qian,et al.  A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems , 2005, Proceedings of the 2005, American Control Conference, 2005..

[28]  Vincent Andrieu,et al.  A unifying point of view on output feedback designs for global asymptotic stabilization , 2009, Autom..