Output tracking control for generalised high-order nonlinear system with serious uncertainties

ABSTRACTThis paper focuses on the problem of output tracking control for a class of generalised high-order uncertain nonlinear systems. Serious uncertainties are composed of unknown high-order terms, unknown nonlinear functions and the signal to be tracked. The new feedback scheme guarantees that the tracking error belongs to a prescribed small neighbourhood of the origin in finite time. Design procedures are presented by combining improved adding a power integrator method with the recursive construction. As an application, the control methodology is used in the tracking control of the mass-spring mechanical system.

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

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

[3]  Ji-Feng Zhang,et al.  Practical Output-Feedback Risk-Sensitive Control for Stochastic Nonlinear Systems with Stable Zero-Dynamics , 2006, SIAM J. Control. Optim..

[4]  Shuzhi Sam Ge,et al.  Adaptive NN control of uncertain nonlinear pure-feedback systems , 2002, Autom..

[5]  Iasson Karafyllis,et al.  Stability and Stabilization of Nonlinear Systems , 2011 .

[6]  F. J. Narcowich,et al.  Persistency of Excitation in Identification Using Radial Basis Function Approximants , 1995 .

[7]  YunGang Liu,et al.  Global Practical Tracking for High-Order Uncertain Nonlinear Systems with Unknown Control Directions , 2010, SIAM J. Control. Optim..

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

[9]  Liang Liu,et al.  A Homogeneous Domination Approach to State Feedback of Stochastic High-Order Nonlinear Systems With Time-Varying Delay , 2013, IEEE Transactions on Automatic Control.

[10]  Yungang Liu,et al.  Adaptive state-feedback stabilization for a class of high-order nonlinear uncertain systems , 2007, Autom..

[11]  Yuanwei Jing,et al.  Output-feedback stabilization for stochastic nonlinear systems whose linearizations are not stabilizable , 2010, Autom..

[12]  P. Kokotovic,et al.  Adaptive nonlinear design with controller-identifier separation and swapping , 1995, IEEE Trans. Autom. Control..

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

[14]  Hui Wang,et al.  Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form , 2015, Autom..

[15]  Zong-Yao Sun,et al.  Adaptive Control Design for a Class of Uncertain High-Order Nonlinear Systems with Time Delay , 2015 .

[16]  Zong-Yao Sun,et al.  New results on global stabilization for time‐delay nonlinear systems with low‐order and high‐order growth conditions , 2015 .

[17]  C. Byrnes.  Output Regulation of Uncertain Nonlinear Systems , 1997 .

[18]  Abdallah BenAbdallah,et al.  Adaptive practical output tracking control for a class of uncertain nonlinear systems , 2015, Int. J. Syst. Sci..

[19]  Yungang Liu,et al.  Global Asymptotic Regulation via Time-Varying Output Feedback for a Class of Uncertain Nonlinear Systems , 2013, SIAM J. Control. Optim..

[20]  YunGang Liu,et al.  Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay , 2011, Science China Information Sciences.

[21]  Xue-Jun Xie,et al.  Adaptive control for high‐order time‐delay uncertain nonlinear system and application to chemical reactor system , 2015 .

[22]  Ji-Feng Zhang,et al.  Distributed practical output tracking of high-order stochastic multi-agent systems with inherent nonlinear drift and diffusion terms , 2014, Autom..

[23]  Shuzhi Sam Ge,et al.  Adaptive Neural Control for a Class of Uncertain Nonlinear Systems in Pure-Feedback Form With Hysteresis Input , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[24]  Xue-Jun Xie,et al.  Output Tracking of High-Order Stochastic Nonlinear Systems with Application to Benchmark Mechanical System , 2010, IEEE Transactions on Automatic Control.

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