Consensus of second-order multi-agent systems via impulsive control using sampled hetero-information

In this paper, the consensus problem for second-order multi-agent systems using impulsive control with sampled hetero-information is investigated. Necessary and sufficient conditions for sampling interval to achieve consensus for the second-order multi-agent systems are obtained. Analysis for the upper bound of sampling interval, convergence performance, and communication cost of the proposed control protocols are also discussed. Some numerical examples are given to demonstrate the effectiveness of the proposed control protocols.

[1]  Yuangong Sun,et al.  Stabilization of Switched Systems With Nonlinear Impulse Effects and Disturbances , 2011, IEEE Transactions on Automatic Control.

[2]  Xuemin Shen,et al.  On hybrid impulsive and switching systems and application to nonlinear control , 2005, IEEE Transactions on Automatic Control.

[3]  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.

[4]  Jinde Cao,et al.  Second-order consensus in multi-agent dynamical systems with sampled position data , 2011, Autom..

[5]  Katsuhiko Ogata,et al.  Discrete-time control systems , 1987 .

[6]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[7]  Tomohisa Hayakawa,et al.  Formation Control of Multi-Agent Systems with Sampled Information -- Relationship Between Information Exchange Structure and Control Performance -- , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[8]  Lihua Xie,et al.  Distributed Consensus With Limited Communication Data Rate , 2011, IEEE Transactions on Automatic Control.

[9]  Xinzhi Liu,et al.  Impulsive Stabilization of High-Order Hopfield-Type Neural Networks With Time-Varying Delays , 2008, IEEE Transactions on Neural Networks.

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

[11]  Jonathan H. Manton,et al.  Coordination and Consensus of Networked Agents with Noisy Measurements: Stochastic Algorithms and Asymptotic Behavior , 2009, SIAM J. Control. Optim..

[12]  Long Wang,et al.  Finite-Time Consensus Problems for Networks of Dynamic Agents , 2007, IEEE Transactions on Automatic Control.

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

[14]  V. Hahn,et al.  Stability theory , 1993 .

[15]  Guangming Xie,et al.  Average Consensus in Directed Networks of Dynamic Agents with Time-Varying Communication Delays , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[16]  Zhi-Hong Guan,et al.  On impulsive control of a periodically forced chaotic pendulum system , 2000, IEEE Trans. Autom. Control..

[17]  Gang Feng,et al.  Impulsive consensus algorithms for second-order multi-agent networks with sampled information , 2012, Autom..

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

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

[20]  Tao Yang,et al.  In: Impulsive control theory , 2001 .

[21]  Guangming Xie,et al.  Consensus of multi-agent systems based on sampled-data control , 2009, Int. J. Control.

[22]  Wenwu Yu,et al.  Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems , 2010, Autom..

[23]  Long Wang,et al.  Sampled-Data Based Consensus of Continuous-Time Multi-Agent Systems With Time-Varying Topology , 2011, IEEE Transactions on Automatic Control.