Adaptive MLP neural network controller for consensus tracking of Multi-Agent systems with application to synchronous generators

Abstract In this study a novel cooperative controller design is developed to tackle the consensus tracking problem of Multi-Agent systems (MAS) based on multilayer perceptron neural network (MLPNN), applied on a distributed synchronous generator (SG) Multi-Agent system in presence of model uncertainties and external disturbances. Application of MLPNN in controller design can lead to smoother system response and can neutralize the impacts of model uncertainties. Furthermore, the proposed method benefits from a novel algorithm formerly known as error backpropagation (BP) algorithm to update and to regulate the weights of MLPNN adaptively based on the principles of consensus error. The proposed strategy can be very effective in control of the distributed SG Multi-Agent system due to its ability for system identification, parameter estimation, and disturbance approximation. Moreover, the utilization of neural networks can meet the criterion to make the consensus error uniformly ultimately bounded. Ultimately, simulation results illustrate the applicability and effectiveness of the novel MLPNN controller to model the system uncertainties and to deal with external disturbances of the distributed SG Multi-Agent system.

[1]  Mohammad Reza Rahimi Khoygani,et al.  Neural estimation using a stable discrete-time MLP observer for a class of discrete-time uncertain MIMO nonlinear systems , 2016 .

[2]  Tao Li,et al.  Consensus Based Formation Control and Trajectory Tracing of Multi-Agent Robot Systems , 2007, J. Intell. Robotic Syst..

[3]  H. Talebi,et al.  A Recurrent Neural-Network-Based Sensor and Actuator Fault Detection and Isolation for Nonlinear Systems With Application to the Satellite's Attitude Control Subsystem , 2009, IEEE Transactions on Neural Networks.

[4]  Xiongfeng Deng,et al.  Quantized Consensus Control for Second-Order Nonlinear Multi-agent Systems with Sliding Mode Iterative Learning Approach , 2018 .

[5]  Ljupco Kocarev,et al.  Tracking Control of Networked Multi-Agent Systems Under New Characterizations of Impulses and Its Applications in Robotic Systems , 2016, IEEE Transactions on Industrial Electronics.

[6]  Wei Wang,et al.  Distributed adaptive asymptotically consensus tracking control of nonlinear multi-agent systems with unknown parameters and uncertain disturbances , 2017, Autom..

[7]  Zhiyong Geng,et al.  Finite-time formation control for linear multi-agent systems: A motion planning approach , 2015, Syst. Control. Lett..

[8]  Zhong-Ping Jiang,et al.  Event-Based Leader-following Consensus of Multi-Agent Systems with Input Time Delay , 2015, IEEE Transactions on Automatic Control.

[9]  Chongxin Huang,et al.  Distributed cooperative control of energy storage units in microgrid based on multi-agent consensus method , 2017 .

[10]  Guanghui Wen,et al.  Second-Order Consensus in Multiagent Systems via Distributed Sliding Mode Control , 2017, IEEE Transactions on Cybernetics.

[11]  Guoqiang Hu,et al.  Time-varying formation control for general linear multi-agent systems with switching directed topologies , 2016, Autom..

[12]  R. Ghasemi,et al.  A novel terminal sliding mode observer with RBF neural network for a class of nonlinear systems , 2018 .

[13]  Fuchun Sun,et al.  Neural-network-based integral sliding-mode tracking control of second-order multi-agent systems with unmatched disturbances and completely unknown dynamics , 2017, International Journal of Control, Automation and Systems.

[14]  Qing-Long Han,et al.  Achieving Cluster Formation of Multi-Agent Systems Under Aperiodic Sampling and Communication Delays , 2018, IEEE Transactions on Industrial Electronics.

[15]  Tingwen Huang,et al.  Event-Triggering Sampling Based Leader-Following Consensus in Second-Order Multi-Agent Systems , 2015, IEEE Transactions on Automatic Control.

[16]  Jie Zhang,et al.  Formation Control of Heterogeneous Discrete-Time Nonlinear Multi-Agent Systems With Uncertainties , 2017, IEEE Transactions on Industrial Electronics.

[17]  Laxmidhar Behera,et al.  Event-Triggered Finite-Time Integral Sliding Mode Controller for Consensus-Based Formation of Multirobot Systems With Disturbances , 2019, IEEE Transactions on Control Systems Technology.

[18]  Jun Zhang,et al.  Adaptive Fault-Tolerant Tracking Control for Linear and Lipschitz Nonlinear Multi-Agent Systems , 2015, IEEE Transactions on Industrial Electronics.

[19]  Zongyu Zuo,et al.  Practical fixed-time consensus for integrator-type multi-agent systems: A time base generator approach , 2019, Autom..

[20]  Long Wang,et al.  Recent Advances in Consensus of Multi-Agent Systems: A Brief Survey , 2017, IEEE Transactions on Industrial Electronics.

[21]  F. P. de Mello Measurement of synchronous machine rotor angle from analysis of zero sequence harmonic components of machine terminal voltage , 1994 .

[22]  Jinzhi Wang,et al.  Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties , 2016, Syst. Control. Lett..

[23]  Guanrong Chen,et al.  Nonsmooth leader-following formation control of nonidentical multi-agent systems with directed communication topologies , 2016, Autom..

[24]  Chia-Chi Chu,et al.  Consensus-Based Secondary Frequency and Voltage Droop Control of Virtual Synchronous Generators for Isolated AC Micro-Grids , 2015, IEEE Journal on Emerging and Selected Topics in Circuits and Systems.

[25]  Y. H. Ku,et al.  Electric Power System Dynamics , 1983 .

[26]  Amin Sharafian,et al.  Stable state dependent Riccati equation neural observer for a class of nonlinear systems , 2017, Int. J. Model. Identif. Control..

[27]  Lin Zhao,et al.  Distributed adaptive fixed-time consensus tracking for second-order multi-agent systems using modified terminal sliding mode , 2017, Appl. Math. Comput..

[28]  Qian Ai,et al.  Disturbance Rejection Consensus Tracking of Multi-Agent System for Nonlinear Dynamic Model of Synchronous Generators in Micro-Grids , 2019, 2019 5th International Conference on Control, Automation and Robotics (ICCAR).

[29]  Heidar Ali Talebi,et al.  A stable neural network-based observer with application to flexible-joint manipulators , 2006, IEEE Transactions on Neural Networks.

[30]  Yongduan Song,et al.  Terminal Sliding Mode-Based Consensus Tracking Control for Networked Uncertain Mechanical Systems on Digraphs , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[31]  Qian Ai,et al.  A Hierarchical Optimization Strategy in Microgrid Based on the Consensus of Multi-agent System , 2018 .

[32]  Heidar Ali Talebi,et al.  Neural network based control schemes for flexible-link manipulators: simulations and experiments , 1998, Neural Networks.

[33]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1989, Math. Control. Signals Syst..

[34]  M. Dehghani,et al.  Nonlinear state space model identification of synchronous generators , 2008 .

[35]  F. Lewis,et al.  Distributed consensus tracking for non-linear multi-agent systems with input saturation: a command filtered backstepping approach , 2016 .

[36]  Weidong Zhang,et al.  Fractional sliding mode based on RBF neural network observer: Application to HIV infection mathematical model , 2020, Comput. Math. Appl..

[37]  Amin Sharafian,et al.  State-dependent Riccati equation sliding mode observer for mathematical dynamic model of chronic myelogenous leukaemia , 2018 .

[38]  Weiming Shen,et al.  Multi-Agent Systems for Concurrent Intelligent Design and Manufacturing , 2000 .

[39]  Amin Sharafian,et al.  Fractional neural observer design for a class of nonlinear fractional chaotic systems , 2017, Neural Computing and Applications.

[40]  Weidong Zhang,et al.  Different types of sliding mode controller for nonlinear fractional multi-Agent system , 2020 .

[41]  Guo-Xing Wen,et al.  Neural-network-based adaptive leader-following consensus control for second-order non-linear multi-agent systems , 2015 .

[42]  Weidong Zhang,et al.  RBF Neural Network Sliding Mode Consensus of Multiagent Systems with Unknown Dynamical Model of Leader-follower Agents , 2018 .