Event-Triggered Consensus of Linear Multiagent Systems With Time-Varying Communication Delays

In this paper, the event-triggered consensus problem of linear multiagent systems with time-varying communication delays is addressed. Different from the existing event-triggered consensus results with communication delays, more general nonuniform time-varying communication delays are considered. To avoid the asynchronous phenomenon caused by nonuniform delays, a novel periodic switching controller is developed. Based on this controller, the resulting consensus error system can be modeled as a periodic switching system. Furthermore, the exponential stability of the consensus error system is derived by utilizing the Lyapunov approach and the dwell-time analysis method. Finally, an illustrative example is presented to demonstrate the effectiveness of the developed method.

[1]  Qing-Long Han,et al.  A Dynamic Event-Triggered Transmission Scheme for Distributed Set-Membership Estimation Over Wireless Sensor Networks , 2019, IEEE Transactions on Cybernetics.

[2]  Zhong-Ping Jiang,et al.  Distributed formation control of nonholonomic mobile robots without global position measurements , 2013, Autom..

[3]  Guang-Hong Yang,et al.  Robust event-triggered control for networked control systems , 2018, Inf. Sci..

[4]  Jianliang Wang,et al.  Quantized $H_{\infty}$ Consensus of Multiagent Systems With Quantization Mismatch Under Switching Weighted Topologies , 2017, IEEE Transactions on Control of Network Systems.

[5]  Qing-Long Han,et al.  Consensus of Multiagent Systems Subject to Partially Accessible and Overlapping Markovian Network Topologies , 2017, IEEE Transactions on Cybernetics.

[6]  Amir Asif,et al.  CEASE: A Collaborative Event-Triggered Average-Consensus Sampled-Data Framework With Performance Guarantees for Multi-Agent Systems , 2018, IEEE Transactions on Signal Processing.

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

[8]  Yu-Ping Tian,et al.  Consensus of Multi-Agent Systems With Diverse Input and Communication Delays , 2008, IEEE Transactions on Automatic Control.

[9]  Dan Liu,et al.  Dynamic event‐triggered control for linear time‐invariant systems with L2 ‐gain performance , 2018, International Journal of Robust and Nonlinear Control.

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

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

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

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

[14]  Hong-Jun Ma,et al.  Cooperative Fault Diagnosis for Uncertain Nonlinear Multiagent Systems Based on Adaptive Distributed Fuzzy Estimators , 2020, IEEE Transactions on Cybernetics.

[15]  Qing-Long Han,et al.  Network-based modelling and dynamic output feedback control for unmanned marine vehicles in network environments , 2018, Autom..

[16]  Qing-Long Han,et al.  Distributed Secondary Control for Active Power Sharing and Frequency Regulation in Islanded Microgrids Using an Event-Triggered Communication Mechanism , 2019, IEEE Transactions on Industrial Informatics.

[17]  Tingwen Huang,et al.  Event-Based Consensus Control for a Linear Directed Multiagent System With Time Delay , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.

[18]  Xin Huang,et al.  Reliable Control Policy of Cyber-Physical Systems Against a Class of Frequency-Constrained Sensor and Actuator Attacks , 2018, IEEE Transactions on Cybernetics.

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

[20]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[21]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[22]  Qing-Long Han,et al.  Network-Based T–S Fuzzy Dynamic Positioning Controller Design for Unmanned Marine Vehicles , 2018, IEEE Transactions on Cybernetics.

[23]  Emilia Fridman,et al.  Event-Triggered $H_{\infty}$ Control: A Switching Approach , 2015, IEEE Transactions on Automatic Control.

[24]  Guang-Hong Yang,et al.  Leaderless and leader-following consensus of linear multi-agent systems with distributed event-triggered estimators , 2019, J. Frankl. Inst..

[25]  Sang Jeong Lee,et al.  Event-based modeling and control for the burnthrough point in sintering processes , 1999, IEEE Trans. Control. Syst. Technol..

[26]  Qing-Long Han,et al.  An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay , 2017, Autom..

[27]  Qing-Long Han,et al.  A Threshold-Parameter-Dependent Approach to Designing Distributed Event-Triggered $H_{\infty}$ Consensus Filters Over Sensor Networks , 2019, IEEE Transactions on Cybernetics.

[28]  Qing-Long Han,et al.  An Overview of Recent Advances in Event-Triggered Consensus of Multiagent Systems , 2018, IEEE Transactions on Cybernetics.

[29]  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.

[30]  Guang-Hong Yang,et al.  Event-Triggered Control for T–S Fuzzy Systems Under Asynchronous Network Communications , 2020, IEEE Transactions on Fuzzy Systems.

[31]  Qing-Long Han,et al.  A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems , 2014, Autom..

[32]  Guang-Hong Yang,et al.  Distributed Adaptive Fuzzy Control For Nonlinear Multiagent Systems Under Directed Graphs , 2018, IEEE Transactions on Fuzzy Systems.

[33]  Hongjing Liang,et al.  Event-Triggered Adaptive Tracking Control for Multiagent Systems With Unknown Disturbances , 2020, IEEE Transactions on Cybernetics.

[34]  Baolin Zhang,et al.  Event-triggered H∞ reliable control for offshore structures in network environments , 2016 .

[35]  Paulo Tabuada,et al.  Periodic event-triggered control for nonlinear systems , 2013, 52nd IEEE Conference on Decision and Control.

[36]  Wei He,et al.  Cooperative Adaptive Event-Triggered Control for Multiagent Systems With Actuator Failures , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

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

[38]  Qing-Long Han,et al.  Event-triggered dynamic output feedback control for networked control systems , 2014 .

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

[40]  Fanghong Guo,et al.  Event-Based Consensus for Linear Multiagent Systems Without Continuous Communication , 2017, IEEE Transactions on Cybernetics.

[41]  Eloy García,et al.  Periodic Event-Triggered Synchronization of Linear Multi-Agent Systems With Communication Delays , 2015, IEEE Transactions on Automatic Control.

[42]  Le Yi Wang,et al.  Distributed Cooperative Optimal Control of DC Microgrids With Communication Delays , 2018, IEEE Transactions on Industrial Informatics.

[43]  Jiangping Hu,et al.  Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays , 2011, Kybernetika.

[44]  W. P. M. H. Heemels,et al.  Periodic Event-Triggered Control for Linear Systems , 2013, IEEE Trans. Autom. Control..

[45]  Guang-Hong Yang,et al.  Distributed adaptive fault-tolerant control approach to cooperative output regulation for linear multi-agent systems , 2019, Autom..

[46]  Hongjie Li,et al.  Event-triggered control for multi-agent systems with randomly occurring nonlinear dynamics and time-varying delay , 2014, J. Frankl. Inst..