Leaderless Consensus of Non-linear Mixed delay Multi-agent Systems with Random Packet Losses via Sampled-data Control

This paper inspects the consensus problem of nonlinear mixed delay multi-agent systems with random packet losses through the sampled-data control using the undirected graph without any specified leader for the other following agents. The probabilistic time varying delay is taken in the control input delay that Bernoulli distributed white sequence is engaged to formulate the random packet losses between the agents. The consensus problem can be changed over into a stabilization problem by using the Laplacian matrix which can be obtained by undirected graph. By framing a Lyapunov-Krasovskii functional with triple integral terms and implementation of the property of Kronecker product together with some well known matrix inequality techniques, a mean square consensus for mixed delay multi-agent system can be achieved. Terminally, two numerical examples are provided to illuminate the advantages of the suggested techniques.

[1]  Fangfang Zhang,et al.  A new approach to distributed control for multi-agent systems based on approximate upper and lower bounds , 2017 .

[2]  Yu-Ping Tian,et al.  Consensus of Data-Sampled Multi-Agent Systems With Random Communication Delay and Packet Loss , 2010, IEEE Transactions on Automatic Control.

[3]  Jian Wu,et al.  Average Consensus in Multi-Agent Systems with Non-Uniform Time-Varying Delays and Random Packet Losses , 2013, ICONS.

[4]  Dan Yang,et al.  Adaptive Synchronization for a Class of Fractional Order Time-delay Uncertain Chaotic Systems via Fuzzy Fractional Order Neural Network , 2019, International Journal of Control, Automation and Systems.

[5]  Frank L. Lewis,et al.  Cooperative Optimal Control for Multi-Agent Systems on Directed Graph Topologies , 2014, IEEE Transactions on Automatic Control.

[6]  Wei Liu,et al.  Leaderless consensus of multi-agent systems with Lipschitz nonlinear dynamics and switching topologies , 2016, Neurocomputing.

[7]  Rathinasamy Sakthivel,et al.  Robust sampled-data control of uncertain switched neutral systems with probabilistic input delay , 2016, Complex..

[8]  N. Gunasekaran,et al.  Finite-time H∞ boundedness of discrete-time neural networks normbounded disturbances with time-varying delay , 2017, International Journal of Control, Automation and Systems.

[9]  M. Syed Ali,et al.  Robust stability of hopfield delayed neural networks via an augmented L-K functional , 2017, Neurocomputing.

[10]  Changchun Hua,et al.  Nonfragile Consensus of Multiagent Systems Based on Memory Sampled-Data Control , 2021, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[11]  Ju H. Park,et al.  On stability analysis for neural networks with interval time-varying delays via some new augmented Lyapunov-Krasovskii functional , 2014, Commun. Nonlinear Sci. Numer. Simul..

[12]  Yongqing Yang,et al.  Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: A heterogeneous impulsive method , 2017 .

[13]  Eugênio B. Castelan,et al.  Delay Dependent Local Stabilization Conditions for Time-delay Nonlinear Discrete-time Systems Using Takagi-Sugeno Models , 2018 .

[14]  Changchun Hua,et al.  Robust H∞ stabilization for T-S fuzzy systems with time-varying delays and memory sampled-data control , 2019, Appl. Math. Comput..

[15]  C. Peng,et al.  Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay , 2008 .

[16]  Rathinasamy Sakthivel,et al.  Robust consensus of nonlinear multi-agent systems via reliable control with probabilistic time delay , 2016, Complex..

[17]  Pagavathigounder Balasubramaniam,et al.  Synchronization of fuzzy bidirectional associative memory neural networks with various time delays , 2015, Appl. Math. Comput..

[18]  Yang Tang,et al.  Sampled-Data Consensus of Linear Multi-agent Systems With Packet Losses , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[19]  A. W. Kemp,et al.  Univariate Discrete Distributions , 1993 .

[20]  Changchun Hua,et al.  Improved synchronization criteria of Lur’e systems under sampled-data control , 2018, Nonlinear Dynamics.

[21]  Hong Wang,et al.  Stabilization of chaotic systems under variable sampling and state quantized controller , 2017, Fuzzy Sets Syst..

[22]  Jie Lin,et al.  The multi-agent rendezvous problem , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[23]  Ju H. Park,et al.  Leader-following consensus problem of heterogeneous multi-agent systems with nonlinear dynamics using fuzzy disturbance observer , 2014, Complex..

[24]  A. W. Kemp,et al.  Univariate Discrete Distributions: Johnson/Univariate Discrete Distributions , 2005 .

[25]  Shuai Zhang,et al.  The sampled-data consensus of multi-agent systems with probabilistic time-varying delays and packet losses , 2018 .

[26]  Hongjie Li,et al.  Leader-following consensus of nonlinear multi-agent systems with mixed delays and uncertain parameters via adaptive pinning intermittent control , 2016 .

[27]  Guanrong Chen,et al.  Adaptive second-order consensus of networked mobile agents with nonlinear dynamics , 2011, Autom..