Robust control for a class of uncertain nonlinear systems using adaptive filters

This paper investigates the problem of output tracking for a class of nonlinear uncertain systems in strict feedback form. By utilizing the nonlinear filters with a common compensator, a robust adaptive control scheme is proposed via dynamic surface approach. Compared with the existing results in the literature, the proposed control scheme not only avoids the issue of "explosion of complexity" in the recursive procedure, but also eliminates the effects raised by boundary layer errors. Finally, a numerical example is presented to verify the effectiveness of the proposed methodology.

[1]  Lijie Wang,et al.  Adaptive Fuzzy Control of Nonlinear Systems With Unmodeled Dynamics and Input Saturation Using Small-Gain Approach , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Shengyuan Xu,et al.  Asymptotic Tracking Control of Uncertain Nonlinear Systems With Unknown Actuator Nonlinearity , 2014, IEEE Transactions on Automatic Control.

[3]  Ligang Wu,et al.  Fuzzy Tracking Control for Nonlinear Networked Systems , 2017, IEEE Transactions on Cybernetics.

[4]  Zhijun Cai,et al.  Robust adaptive asymptotic tracking of nonlinear systems with additive disturbance , 2006, IEEE Transactions on Automatic Control.

[5]  P. P. Yip,et al.  Adaptive dynamic surface control : a simplified algorithm for adaptive backstepping control of nonlinear systems , 1998 .

[6]  Yong-Hua Liu,et al.  Saturated robust adaptive control for uncertain non-linear systems using a new approximate model , 2017 .

[7]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[8]  Peng Shi,et al.  Adaptive tracking control for switched stochastic nonlinear systems with unknown actuator dead-zone , 2015, Autom..

[9]  Haoyong Yu,et al.  Dynamic surface control via singular perturbation analysis , 2015, Autom..

[10]  Alessandro Astolfi,et al.  Nonlinear and adaptive control with applications , 2008 .

[11]  Hamid Reza Karimi,et al.  Adaptive Neural Control of MIMO Nonstrict-Feedback Nonlinear Systems With Time Delay , 2016, IEEE Transactions on Cybernetics.

[12]  Yong‐Hua Liu,et al.  Adaptive dynamic surface asymptotic tracking for a class of uncertain nonlinear systems , 2018 .

[13]  Swaroop Darbha,et al.  Dynamic surface control for a class of nonlinear systems , 2000, IEEE Trans. Autom. Control..

[14]  Z. Zuo,et al.  Adaptive trajectory tracking control of output constrained multi-rotors systems , 2014 .

[15]  Shaocheng Tong,et al.  Observed-Based Adaptive Fuzzy Decentralized Tracking Control for Switched Uncertain Nonlinear Large-Scale Systems With Dead Zones , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[16]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[17]  Liang Liu,et al.  Adaptive tracking control for a class of uncertain switched nonlinear systems , 2015, Autom..

[18]  Guang-Hong Yang,et al.  Adaptive asymptotic tracking control of uncertain nonlinear systems with input quantization and actuator faults , 2016, Autom..

[19]  Yong-Hua Liu,et al.  Adaptive dynamic surface control for uncertain nonaffine nonlinear systems , 2017 .