Global asymptotic output tracking of nonlinear second-order systems with power integrators

Abstract This brief considers the problem of designing controllers to make the output of a power-integrator planar system globally asymptotically track the reference signal generated by a power-integrator exosystem. A necessary and sufficient condition on the powers of the integrators is identified for the solvability of the problem. In the higher order case, the tracking controllers are explicitly constructed by employing the tool of adding a power integrator. In the lower order case, a weak version of adding a power integrator technique is developed to enable us to construct tracking controllers.

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

[2]  V. O. Nikiforov,et al.  Adaptive Non-linear Tracking with Complete Compensation of Unknown Disturbances , 1998, Eur. J. Control.

[3]  Wei Lin,et al.  A continuous feedback approach to global strong stabilization of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[4]  A. Isidori Nonlinear Control Systems , 1985 .

[5]  Junyong Zhai,et al.  Global practical tracking control for a class of uncertain non-linear systems [Brief Paper] , 2011 .

[6]  Christopher I. Byrnes,et al.  Nonlinear internal models for output regulation , 2004, IEEE Transactions on Automatic Control.

[7]  A. Isidori,et al.  Global robust output regulation for a class of nonlinear systems , 2000 .

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

[9]  Zhengtao Ding,et al.  Global adaptive output regulation of a class of nonlinear systems with nonlinear exosystems , 2007, Autom..

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

[11]  Ligang Wu,et al.  Observer-based adaptive sliding mode control for nonlinear Markovian jump systems , 2016, Autom..

[12]  A. Isidori,et al.  Output regulation of nonlinear systems , 1990 .

[13]  Wei Lin,et al.  Robust regulation of a chain of power integrators perturbed by a lower‐triangular vector field , 2000 .

[14]  Wei Lin,et al.  Adaptive output tracking of inherently nonlinear systems with nonlinear parameterization , 2003, IEEE Trans. Autom. Control..

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

[16]  Hassan K. Khalil,et al.  Robust servomechanism output feedback controllers for feedback linearizable systems , 1994, Autom..

[17]  Wei Lin,et al.  Practical output tracking of nonlinear systems with uncontrollable unstable linearization , 2002, IEEE Trans. Autom. Control..

[18]  Lorenzo Marconi,et al.  Semi-global nonlinear output regulation with adaptive internal model , 2001, IEEE Trans. Autom. Control..

[19]  Wei Lin,et al.  Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems , 2000 .

[20]  Zhengtao Ding,et al.  Output regulation of uncertain nonlinear systems with nonlinear exosystems , 2006, Proceedings of the 2004 American Control Conference.

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

[22]  Ning Wang,et al.  Adaptive Robust Finite-Time Trajectory Tracking Control of Fully Actuated Marine Surface Vehicles , 2016, IEEE Transactions on Control Systems Technology.

[23]  Jie Huang,et al.  Robust output regulation with nonlinear exosystems , 2005, Proceedings of the 2004 American Control Conference.

[24]  Wei Lin,et al.  Recursive Observer Design, Homogeneous Approximation, and Nonsmooth Output Feedback Stabilization of Nonlinear Systems , 2006, IEEE Transactions on Automatic Control.

[25]  Jie Huang,et al.  Continuous feedback asymptotic output regulation for a class of nonlinear systems having nonstabilizable linearization , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[26]  I. Kolmanovsky,et al.  Nonsmooth stabilization of an underactuated unstable two degrees of freedom mechanical system , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[27]  Jie Huang,et al.  New results on robust output regulation of nonlinear systems with a nonlinear exosystem , 2012 .

[28]  Shuzhi Sam Ge,et al.  Cooperative control of a nonuniform gantry crane with constrained tension , 2016, Autom..