Hybrid Communication and Control in Multi-Agent Networks

This chapter focuses on hybrid communication and control and its application to second-order linear/nonlinear multi-agent networks. In terms of the impulsive control, a distributed hybrid control based on impulsive communications is presented, and an index function is introduced to assess the performance of agents. It is shown that by synthesizing the coupling weights and the average impulsive intermittence, multi-agent networks can achieve guaranteed performance consensus. Furthermore, the consensus performance of multi-agent networks with second-order nonlinear dynamics is investigated. In light of consensus performance, we resort to a hybrid impulsive and switching control scheme to develop an improved updating rule such that agents can realize consensus and meet some global performance guarantee simultaneously. Simulations are further presented to illuminate the obtained theoretical results.

[1]  R.M. Murray,et al.  Multi-Hop Relay Protocols for Fast Consensus Seeking , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

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

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

[4]  Shengyuan Xu,et al.  Event-triggered average consensus for multi-agent systems with nonlinear dynamics and switching topology , 2015, J. Frankl. Inst..

[5]  Zhi-Hong Guan,et al.  Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays , 2003, IEEE Trans. Autom. Control..

[6]  R. Olfati-Saber.  Ultrafast consensus in small-world networks , 2005, Proceedings of the 2005, American Control Conference, 2005..

[7]  James Lam,et al.  Finite-Horizon ${\cal H}_{\infty}$ Control for Discrete Time-Varying Systems With Randomly Occurring Nonlinearities and Fading Measurements , 2015, IEEE Transactions on Automatic Control.

[8]  Yongcan Cao,et al.  Optimal Linear-Consensus Algorithms: An LQR Perspective , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[9]  Zhi-Hong Guan,et al.  Guaranteed performance consensus in second-order multi-agent systems with hybrid impulsive control , 2014, Autom..

[10]  Huijun Gao,et al.  A Sufficient Condition for Convergence of Sampled-Data Consensus for Double-Integrator Dynamics With Nonuniform and Time-Varying Communication Delays , 2012, IEEE Transactions on Automatic Control.

[11]  Stephen P. Boyd,et al.  Fast linear iterations for distributed averaging , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[12]  Xiaojun Zhou,et al.  Event based guaranteed cost consensus for distributed multi-agent systems , 2015, J. Frankl. Inst..

[13]  M. Xin,et al.  Multi-agent consensus algorithm with obstacle avoidance via optimal control approach , 2011 .

[14]  Scott A. Bortoff,et al.  Path planning for UAVs , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[15]  Xinzhi Liu,et al.  Robust Stability Analysis of Guaranteed Cost Control for Impulsive Switched Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[16]  Tongwen Chen,et al.  Optimal Sampling and Performance Comparison of Periodic and Event Based Impulse Control , 2012, IEEE Transactions on Automatic Control.

[17]  Wenwu Yu,et al.  Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[18]  Derui Ding,et al.  Event-triggered consensus control for discrete-time stochastic multi-agent systems: The input-to-state stability in probability , 2015, Autom..

[19]  Jinde Cao,et al.  A unified synchronization criterion for impulsive dynamical networks , 2010, Autom..

[20]  James Lam,et al.  Stability Analysis of Continuous-Time Switched Systems With a Random Switching Signal , 2013, IEEE Transactions on Automatic Control.

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

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

[23]  Ping Li,et al.  On the synthesis of H∞ consensus for multi-agent systems , 2015, IMA J. Math. Control. Inf..

[24]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[25]  Huaguang Zhang,et al.  Delay-Dependent Guaranteed Cost Control for Uncertain Stochastic Fuzzy Systems With Multiple Time Delays , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[26]  Jian Chen,et al.  MAGDM Linear-Programming Models With Distinct Uncertain Preference Structures , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

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

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

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