Adaptive Decentralized Neural Network Tracking Control for Uncertain Interconnected Nonlinear Systems With Input Quantization and Time Delay

This study investigates the problem of adaptive decentralized tracking control for a class of interconnected nonlinear systems with input quantization, unknown function, and time-delay, where the time-delay and interconnection terms are supposed to be bounded by some completely unknown functions. An adaptive decentralized tracking controller is constructed via the backstepping method and neural network technique, where a sliding-mode differentiator is presented to estimate the derivative of the virtual control law and reduce the complexity of the control scheme. On the basis of Lyapunov analysis scheme and graph theory, all the signals of the closed-loop system are uniformly ultimately bounded. Finally, an application example of an inverted pendulum system is given to demonstrate the effectiveness of the developed methods.

[1]  Guang-Hong Yang,et al.  Neural-network-based adaptive fault-tolerant tracking control of uncertain nonlinear time-delay systems under output constraints and infinite number of actuator faults , 2018, Neurocomputing.

[2]  Wei Lin,et al.  Adaptive control of nonlinearly parameterized systems: the smooth feedback case , 2002, IEEE Trans. Autom. Control..

[3]  David Thomas,et al.  The Art in Computer Programming , 2001 .

[4]  Keng Peng Tee,et al.  Approximation-based control of nonlinear MIMO time-delay systems , 2007, Autom..

[5]  Jin Bae Park,et al.  Neural-Network-Based Decentralized Adaptive Control for a Class of Large-Scale Nonlinear Systems With Unknown Time-Varying Delays , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

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

[7]  Xudong Ye,et al.  Decentralized Adaptive Stabilization of Large-Scale Nonlinear Time-Delay Systems With Unknown High-Frequency-Gain Signs , 2011, IEEE Transactions on Automatic Control.

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

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

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

[11]  Dragoslav D. Siljak,et al.  Control of large-scale systems: Beyond decentralized feedback , 2004, Annu. Rev. Control..

[12]  Yan Lin,et al.  Nonlinear decentralized control of large-scale systems with strong interconnections , 2014, Autom..

[13]  Zhong-Ping Jiang,et al.  Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems , 2007, Autom..

[14]  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.

[15]  Yongming Li,et al.  Observer-Based Adaptive Decentralized Fuzzy Fault-Tolerant Control of Nonlinear Large-Scale Systems With Actuator Failures , 2014, IEEE Transactions on Fuzzy Systems.

[16]  Junmin Li,et al.  Decentralized Output-Feedback Neural Control for Systems With Unknown Interconnections , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

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

[18]  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.

[19]  Peng Shi,et al.  Robust backstepping control for a class of time delayed systems , 2005, IEEE Transactions on Automatic Control.

[20]  Xinghuo Yu,et al.  Fixed-Time Attitude Tracking Control for Spacecraft With Input Quantization , 2019, IEEE Transactions on Aerospace and Electronic Systems.

[21]  Yan-Jun Liu,et al.  Neural Network-Based Adaptive Leader-Following Consensus Control for a Class of Nonlinear Multiagent State-Delay Systems , 2017, IEEE Transactions on Cybernetics.

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

[23]  C. Wen Decentralized adaptive regulation , 1994, IEEE Trans. Autom. Control..

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

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

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

[27]  Zhong-Ping Jiang,et al.  Decentralized disturbance attenuating output-feedback trackers for large-scale nonlinear systems , 2002, Autom..

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

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

[30]  Wei Wang,et al.  Decentralized adaptive backstepping stabilization of interconnected systems with dynamic input and output interactions , 2009, Autom..

[31]  Guang-Hong Yang,et al.  Neural-Network-Based Adaptive Decentralized Fault-Tolerant Control for a Class of Interconnected Nonlinear Systems , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[32]  M. A. El-Sharkawy,et al.  Design and allocation of power system stabilizers using the particle swarm optimization technique for an interconnected power system , 2012 .

[33]  B. C. Papadias,et al.  Power System Stabilization via Parameter Optimization - Application to the Hellenic Interconnected System , 1987, IEEE Transactions on Power Systems.

[34]  Michael Y. Li,et al.  Global-stability problem for coupled systems of differential equations on networks , 2010 .

[35]  Bing Chen,et al.  Novel adaptive neural control design for nonlinear MIMO time-delay systems , 2009, Autom..

[36]  Bin Xu,et al.  Composite Learning Control of Flexible-Link Manipulator Using NN and DOB , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.