Event-triggered synchronization control for complex networks with actuator saturation

Abstract This paper investigates the problem of event-triggered synchronization control for complex networks. Each node is subject to actuator saturation. Based on Lyapunov theory and algebraic graph theory, novel sufficient conditions are derived, under which the synchronization error system is asymptotically stable. Compared with the existing results, the proposed event-riggered synchronization control strategy can be applied to the network with the unknown coupling configuration matrix. A numerical example is presented to demonstrate the effectiveness of the proposed control strategy.

[1]  Zidong Wang,et al.  Event-based state estimation for a class of complex networks with time-varying delays: A comparison principle approach , 2017 .

[2]  Cheng-Chew Lim,et al.  Adaptively Adjusted Event-Triggering Mechanism on Fault Detection for Networked Control Systems , 2017, IEEE Transactions on Cybernetics.

[3]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[4]  Guang-Hong Yang,et al.  Event‐triggered control for linear systems with actuator saturation and disturbances , 2017, IET Control Theory & Applications.

[5]  Bassam Bamieh,et al.  A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control , 1992 .

[6]  Elbert Hendricks,et al.  Problems in event based engine control , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[7]  Guang-Hong Yang,et al.  FLS-Based Adaptive Synchronization Control of Complex Dynamical Networks With Nonlinear Couplings and State-Dependent Uncertainties , 2016, IEEE Transactions on Cybernetics.

[8]  Fuwen Yang,et al.  Robust $H_{\infty}$ Control for Networked Systems With Random Packet Losses , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[9]  Peng Shi,et al.  Event-Triggered Fault Detection Filter Design for a Continuous-Time Networked Control System , 2016, IEEE Transactions on Cybernetics.

[10]  Emilia Fridman,et al.  Stabilisation of neutral systems with saturating control inputs , 2011, Int. J. Syst. Sci..

[11]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[12]  Ahmad Haidar,et al.  Delay-range-dependent control synthesis for time-delay systems with actuator saturation , 2008, Autom..

[13]  Qing-Long Han,et al.  Event-based H∞ filtering for sampled-data systems , 2015, Autom..

[14]  Qing-Long Han,et al.  An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems , 2017, IEEE Transactions on Industrial Informatics.

[15]  Leon O. Chua,et al.  Chaos Synchronization in Chua's Circuit , 1993, J. Circuits Syst. Comput..

[16]  Guang-Hong Yang,et al.  Adaptive Synchronization of a Class of Uncertain Complex Networks Against Network Deterioration , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[18]  Jianliang Wang,et al.  Non-fragile quantized H∞ output feedback control for nonlinear systems with quantized inputs and outputs , 2017, J. Frankl. Inst..

[19]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[20]  Akhilanand Pati Tiwari,et al.  Design of periodic output feedback and fast output sampling based controllers for systems with slow and fast modes , 2012 .

[21]  Wei Xing Zheng,et al.  Exponential Synchronization of Complex Networks of Linear Systems and Nonlinear Oscillators: A Unified Analysis , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[22]  Jan Lunze,et al.  A state-feedback approach to event-based control , 2010, Autom..

[23]  Q. Han,et al.  Event‐triggered H∞ control for a class of nonlinear networked control systems using novel integral inequalities , 2017 .

[24]  Guanrong Chen,et al.  A simple global synchronization criterion for coupled chaotic systems , 2003 .

[25]  Sophie Tarbouriech,et al.  LQ-based event-triggered controller co-design for saturated linear systems , 2016, Autom..

[26]  K. Åström,et al.  Comparison of Periodic and Event Based Sampling for First-Order Stochastic Systems , 1999 .

[27]  Hong Qiao,et al.  Event-Triggered State Estimation for Discrete-Time Multidelayed Neural Networks With Stochastic Parameters and Incomplete Measurements , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[28]  Xiang-Gui Guo,et al.  Adaptive quantised H∞ observer-based output feedback control for non-linear systems with input and output quantisation , 2017 .

[29]  Wei Guan,et al.  Non-fragile fuzzy dissipative static output feedback control for Markovian jump systems subject to actuator saturation , 2016, Neurocomputing.

[30]  Guang-Hong Yang,et al.  Model-Based Adaptive Event-Triggered Control of Strict-Feedback Nonlinear Systems , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[31]  Tingshu Hu,et al.  Stability analysis of linear time-delay systems subject to input saturation , 2002 .

[32]  Qing-Long Han,et al.  A Decentralized Event-Triggered Dissipative Control Scheme for Systems With Multiple Sensors to Sample the System Outputs , 2016, IEEE Transactions on Cybernetics.

[33]  Guang-Hong Yang,et al.  Robust H∞ dynamic output feedback synchronization for complex dynamical networks with disturbances , 2016, Neurocomputing.

[34]  Qi Li,et al.  Event-triggered synchronization control for complex networks with uncertain inner coupling , 2015, Int. J. Gen. Syst..

[35]  S. Strogatz.  Exploring complex networks , 2001, Nature.

[36]  Guang-Hong Yang,et al.  Consensus of Linear Multiagent Systems With Actuator Saturation and External Disturbances , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[37]  Guang-Hong Yang,et al.  Event-triggered output feedback synchronization control of complex dynamical networks , 2018, Neurocomputing.

[38]  Chi-Chuan Hwang,et al.  A linear continuous feedback control of Chua's circuit , 1997 .

[39]  Mohammad Bagher Menhaj,et al.  Fuzzy Complex Dynamical Networks and Its Synchronization , 2013, IEEE Transactions on Cybernetics.

[40]  M. R. Vonder,et al.  Asynchronous measurement and control: a case study on motor synchronization , 1999 .

[41]  Frédéric Gouaisbaut,et al.  Wirtinger-based integral inequality: Application to time-delay systems , 2013, Autom..

[42]  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.

[43]  Tingwen Huang,et al.  Quantized/Saturated Control for Sampled-Data Systems Under Noisy Sampling Intervals: A Confluent Vandermonde Matrix Approach , 2017, IEEE Transactions on Automatic Control.

[44]  Jinhuan Wang,et al.  Event‐triggered Control of Linear Systems with Saturated Inputs , 2015 .

[45]  Xinghuo Yu,et al.  Survey on Recent Advances in Networked Control Systems , 2016, IEEE Transactions on Industrial Informatics.

[46]  Guang-Hong Yang,et al.  Event-Based Adaptive NN Tracking Control of Nonlinear Discrete-Time Systems , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[47]  Michael Z. Q. Chen,et al.  Event-triggered control for semi-global stabilisation of systems with actuator saturation , 2016, Int. J. Control.