Consensus of Multi-agent Systems with Linear Dynamics via State-Constraint Impulsive Protocols

In the paper, a consensus problem in multi-agent systems using state constraint impulsive protocol is investigated. Firstly, an impulsive protocol which concludes state constraint is designed for network based on local information of agents. Then, a kind of fully state constraint impulsive control rule is discussed. Finally, in order to prove the effectiveness of the theoretical analysis, we provide a numerical simulation example in this paper.

[1]  Haibo Jiang,et al.  Reliable impulsive lag synchronization for a class of nonlinear discrete chaotic systems , 2010 .

[2]  Daizhan Cheng,et al.  Lyapunov-Based Approach to Multiagent Systems With Switching Jointly Connected Interconnection , 2007, IEEE Transactions on Automatic Control.

[3]  Daizhan Cheng,et al.  Consensus of multi-agent linear dynamic systems† , 2008 .

[4]  Chuandong Li,et al.  Iterative learning control design of nonlinear multiple time-delay systems , 2011, Appl. Math. Comput..

[5]  Xinzhi Liu,et al.  Uniform stability of discrete impulsive systems , 2008, Int. J. Syst. Sci..

[6]  Z. Guan,et al.  Stabilization of complex network with hybrid impulsive and switching control , 2008 .

[7]  Yiguang Hong,et al.  Distributed Observers Design for Leader-Following Control of Multi-Agent Networks (Extended Version) , 2017, 1801.00258.

[8]  Jie Chen,et al.  Distributed Consensus of Second-Order Multi-Agent Systems With Heterogeneous Unknown Inertias and Control Gains Under a Directed Graph , 2016, IEEE Transactions on Automatic Control.

[9]  Yu-Ping Tian,et al.  Formation control of multi-agent systems with heterogeneous communication delays , 2009, Int. J. Syst. Sci..

[10]  Jin Zhou,et al.  Synchronization in complex delayed dynamical networks with impulsive effects , 2007 .

[11]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[12]  Shihua Chen,et al.  Synchronization of impulsively coupled complex systems with delay. , 2011, Chaos.

[13]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[14]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[15]  Guangming Xie,et al.  Consensus control for a class of networks of dynamic agents , 2007 .

[16]  Chuandong Li,et al.  Stability of nonlinear systems with variable-time impulses: B-equivalence method , 2017 .

[17]  Wei Ren On Consensus Algorithms for Double-Integrator Dynamics , 2008, IEEE Trans. Autom. Control..

[18]  Yu-Ping Tian,et al.  Consentability and protocol design of multi-agent systems with stochastic switching topology , 2009, Autom..

[19]  Xiaodi Li,et al.  Impulsive Control for Existence, Uniqueness, and Global Stability of Periodic Solutions of Recurrent Neural Networks With Discrete and Continuously Distributed Delays , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[20]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[21]  Xing He,et al.  Impulsive control and Hopf bifurcation of a three-dimensional chaotic system , 2014 .

[22]  Haibo Jiang,et al.  Robust fuzzy control of nonlinear fuzzy impulsive systems with time-varying delay , 2008 .

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

[24]  Yinping Zhang,et al.  Impulsive robust fault-tolerant feedback control for chaotic Lur'e systems , 2009 .

[25]  Liangliang Li,et al.  An analysis and design for time-varying structures dynamical networks via state constraint impulsive control , 2019, Int. J. Control.

[26]  Zidong Wang,et al.  A note on chaotic synchronization of time-delay secure communication systems , 2008 .

[27]  Xiaodi Li,et al.  Stabilization of Delay Systems: Delay-Dependent Impulsive Control , 2017, IEEE Transactions on Automatic Control.