Adaptive neural network asymptotical tracking control for an uncertain nonlinear system with input quantisation

In this paper, the problem of adaptive neural network asymptotical tracking is investigated for a class of nonlinear system with unknown function, external disturbances and input quantisation. Based on neural network technique, an adaptive asymptotical tracking controller is provided for an uncertain nonlinear system via backstepping method. In order to reduce complexity of the control algorithm in the backstepping design process, a sliding mode differentiator is employed to estimate the virtual control law and only two parameters need to be estimated via adaptive control technique. The stability of the closed-loop system is analysed by using Lyapunov function method and zero-tracking error performance is obtained in the presence of unknown nonlinear function, external disturbances and input quantisation. Finally, an application example is employed to demonstrate the effectiveness of the proposed scheme.

[1]  J. A. Farrell,et al.  Quantizer effects on steady-state error specifications of digital feedback control systems , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[2]  C. L. Philip Chen,et al.  Fuzzy Adaptive Quantized Control for a Class of Stochastic Nonlinear Uncertain Systems , 2016, IEEE Transactions on Cybernetics.

[3]  Dan Wang,et al.  Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form , 2005, IEEE Transactions on Neural Networks.

[4]  Shaocheng Tong,et al.  Adaptive Fuzzy Control for a Class of Nonlinear Discrete-Time Systems With Backlash , 2014, IEEE Transactions on Fuzzy Systems.

[5]  Guang-Hong Yang,et al.  Adaptive decentralized control for a class of interconnected nonlinear systems via backstepping approach and graph theory , 2017, Autom..

[6]  Changyun Wen,et al.  Robust adaptive asymptotic tracking control of uncertain nonlinear systems subject to nonsmooth actuator nonlinearities , 2013 .

[7]  Sharifuddin Mondal,et al.  Robust adaptive observer for nonlinear time-delay systems with disturbances and uncertainties , 2016 .

[8]  Jooyoung Park,et al.  Universal Approximation Using Radial-Basis-Function Networks , 1991, Neural Computation.

[9]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[10]  Jun Yang,et al.  Optimized Active Disturbance Rejection Control for DC-DC Buck Converters With Uncertainties Using a Reduced-Order GPI Observer , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[11]  Xiaowei Yu,et al.  Adaptive Backstepping Quantized Control for a Class of Nonlinear Systems , 2017, IEEE Transactions on Automatic Control.

[12]  Alessandro Astolfi,et al.  Approximate Finite-Horizon Optimal Control for Input-Affine Nonlinear Systems with Input Constraints , 2013, NOLCOS.

[13]  Linlin Hou,et al.  Continuous finite time control for static var compensator with mismatched disturbances , 2016 .

[14]  Zhengqiang Zhang,et al.  Globally adaptive asymptotic tracking control of nonlinear systems using nonlinearly parameterized fuzzy approximator , 2015, J. Frankl. Inst..

[15]  Zhidong Qi,et al.  Exact tracking control of uncertain non-linear systems with additive disturbance , 2015 .

[16]  Huijun Gao,et al.  A new approach to quantized feedback control systems , 2008, Autom..

[17]  Bing Chen,et al.  Direct adaptive neural control for stabilization of nonlinear time-delay systems , 2010, Science China Information Sciences.

[18]  Lei Guo,et al.  Composite adaptive anti-disturbance control for MIMO nonlinearly parameterized systems with mismatched general periodic disturbances , 2017, Int. J. Comput. Math..

[19]  Marios M. Polycarpou,et al.  Stable adaptive neural control scheme for nonlinear systems , 1996, IEEE Trans. Autom. Control..

[20]  N. Elia,et al.  Quantized feedback stabilization of non-linear affine systems , 2004 .

[21]  Yan Lin,et al.  Decentralized adaptive tracking control for a class of interconnected nonlinear systems with input quantization , 2017, Autom..

[22]  Shaocheng Tong,et al.  Adaptive Neural Output Feedback Controller Design With Reduced-Order Observer for a Class of Uncertain Nonlinear SISO Systems , 2011, IEEE Transactions on Neural Networks.

[23]  Zhongke Shi,et al.  Composite Neural Dynamic Surface Control of a Class of Uncertain Nonlinear Systems in Strict-Feedback Form , 2014, IEEE Transactions on Cybernetics.

[24]  Sekhar Tatikonda,et al.  Control under communication constraints , 2004, IEEE Transactions on Automatic Control.

[25]  João Pedro Hespanha,et al.  Stabilization of nonlinear systems with limited information feedback , 2005, IEEE Transactions on Automatic Control.

[26]  Lei Guo,et al.  Neural Network-Based DOBC for a Class of Nonlinear Systems With Unmatched Disturbances , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[27]  Lei Guo,et al.  Disturbance/Uncertainty Estimation and Attenuation Techniques in PMSM Drives—A Survey , 2017, IEEE Transactions on Industrial Electronics.

[28]  Linlin Hou,et al.  Disturbance attenuation and rejection for stochastic Markovian jump system with partially known transition probabilities , 2018, Autom..

[29]  Avrie Levent,et al.  Robust exact differentiation via sliding mode technique , 1998, Autom..

[30]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

[31]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[32]  Wing Shing Wong,et al.  Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback , 1999, IEEE Trans. Autom. Control..

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

[34]  Shengyuan Xu,et al.  Exact tracking control of nonlinear systems with time delays and dead-zone input , 2015, Autom..

[35]  Guang-Hong Yang,et al.  Adaptive Fault-Tolerant Synchronization Control of a Class of Complex Dynamical Networks With General Input Distribution Matrices and Actuator Faults , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Chenguang Yang,et al.  Global Neural Dynamic Surface Tracking Control of Strict-Feedback Systems With Application to Hypersonic Flight Vehicle , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[37]  Guang-Hong Yang,et al.  Adaptive Backstepping Stabilization of Nonlinear Uncertain Systems With Quantized Input Signal , 2014, IEEE Transactions on Automatic Control.