Adaptive consensus of multi-agent systems via odd impulsive control

Abstract This paper investigates the adaptive consensus problem of multi-agent nonlinear systems with odd impulsive sequence. To reduce the required information transmitted among the nodes, the distributed impulsive control protocol is designed. Considering the unknown system parameters in real system, the adaptive control technique is also used and some novel sufficient consensus conditions are derived to achieve the consensus of multi-agent nonlinear systems. The proposed odd impulsive control can obtain larger control region than the common impulsive consensus method with fixed impulsive instants, which is more flexible and reliable in practical application. Finally, two simulations are given to illustrate the effectiveness of the theoretical results.

[1]  Jinde Cao,et al.  Hybrid adaptive and impulsive synchronization of uncertain complex networks with delays and general uncertain perturbations , 2014, Appl. Math. Comput..

[2]  Junmin Li,et al.  Observer-based distributed adaptive iterative learning control for linear multi-agent systems , 2017, Int. J. Syst. Sci..

[3]  Tiedong Ma,et al.  Variable impulsive consensus of nonlinear multi-agent systems , 2019, Nonlinear Analysis: Hybrid Systems.

[4]  Xin Wang,et al.  Synchronization of complex networks with non-delayed and delayed couplings via adaptive feedback and impulsive pinning control , 2016, Nonlinear Dynamics.

[5]  P. Shi,et al.  Observer‐based leader‐following consensus of uncertain nonlinear multi‐agent systems , 2017 .

[6]  Tiedong Ma,et al.  Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control , 2018, Int. J. Syst. Sci..

[7]  Mahdi Tavakoli,et al.  A Descriptor Approach to Robust Leader-Following Output Consensus of Uncertain Multi-Agent Systems With Delay , 2017, IEEE Transactions on Automatic Control.

[8]  Frank L. Lewis,et al.  Heterogeneous Multi-Agent Systems: Reduced-Order Synchronization and Geometry , 2016, IEEE Transactions on Automatic Control.

[9]  Zhidong Teng,et al.  Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks , 2016 .

[10]  Tiedong Ma,et al.  Further studies on impulsive consensus of multi-agent nonlinear systems with control gain error , 2016, Neurocomputing.

[11]  Tiedong Ma,et al.  Impulsive consensus of multi-agent nonlinear systems with control gain error , 2016, Neurocomputing.

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

[13]  Yan-Wu Wang,et al.  Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control , 2018, Autom..

[14]  Gang Feng,et al.  Consensus of Multi-Agent Networks With Aperiodic Sampled Communication Via Impulsive Algorithms Using Position-Only Measurements , 2012, IEEE Transactions on Automatic Control.

[15]  Tiedong Ma,et al.  Adaptive‐impulsive consensus of multiagent systems , 2018 .

[16]  Zhang Hui,et al.  A novel adaptive-impulsive synchronization of fractional-order chaotic systems , 2015 .

[17]  Zhengtao Ding,et al.  Robust consensus control of uncertain multi‐agent systems with input delay: a model reduction method , 2017 .

[18]  Chunhui Zhao,et al.  Leader-following consensus of nonlinear multi-agent systems with switching topologies and unreliable communications , 2015, Neural Computing and Applications.

[19]  Xiaohua Xia,et al.  Adaptive leaderless consensus of agents in jointly connected networks , 2017, Neurocomputing.

[20]  Tiedong Ma,et al.  Synchronization of multi-agent stochastic impulsive perturbed chaotic delayed neural networks with switching topology , 2015, Neurocomputing.

[21]  Frank L. Lewis,et al.  Exponential synchronization of nonlinear multi‐agent systems with time delays and impulsive disturbances , 2016 .

[22]  Hui Zhang,et al.  Synchronization of uncertain chaotic systems via complete-adaptive-impulsive controls , 2017 .

[23]  Song Zheng.  Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling , 2014, J. Appl. Math..

[24]  Feiqi Deng,et al.  Distributed event-triggered observer-based tracking control of leader-follower multi-agent systems , 2018, Neurocomputing.

[25]  Xingpeng Zhang,et al.  Adaptive impulsive synchronization of fractional order chaotic system with uncertain and unknown parameters , 2015, Neurocomputing.

[26]  Tiedong Ma,et al.  On the exponential synchronization of stochastic impulsive chaotic delayed neural networks , 2011, Neurocomputing.

[27]  Guanrong Chen,et al.  Pinning Control of Lag-Consensus for Second-Order Nonlinear Multiagent Systems , 2017, IEEE Transactions on Cybernetics.

[28]  Tiedong Ma,et al.  Adaptive synchronization of multi-agent systems via variable impulsive control , 2018, J. Frankl. Inst..

[29]  Xingpeng Zhang,et al.  Adaptive fuzzy impulsive synchronization of chaotic systems with random parameters , 2017 .

[30]  Tiedong Ma,et al.  Leaderless and leader-following consensus of multi-agent chaotic systems with unknown time delays and switching topologies , 2017 .

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