Distributed optimal analysis for the multi-agent system with hybrid protocols

Abstract In this paper, we present the distributed optimal analysis for the multi-agent system with hybrid protocols. By using a lemma which shows the optimality of a stable control for the hybrid system, we present sufficient conditions on the underlying topology and impulse matrix to guarantee that the distributed protocols can not only achieve consensus but also make desired performance index reach the optimal value. Simulation work is further shown to illuminate our theoretical results.

[1]  KhorasaniKhashayar,et al.  Optimal consensus seeking in a network of multiagent systems , 2010 .

[2]  Jinde Cao,et al.  Outer synchronization of partially coupled dynamical networks via pinning impulsive controllers , 2015, J. Frankl. Inst..

[3]  Fucheng Liao,et al.  Cooperative optimal preview tracking control of continuous-time multi-agent systems , 2016, Int. J. Control.

[4]  Long Wang,et al.  LQR‐based optimal topology of leader‐following consensus , 2015 .

[5]  Jitao Sun,et al.  Distributed optimal control for multi-agent systems with obstacle avoidance , 2016, Neurocomputing.

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

[7]  Wenjie Dong,et al.  Distributed optimal control of multiple systems , 2010, Int. J. Control.

[8]  Frank L. Lewis,et al.  Cooperative Control of Multi-Agent Systems: Optimal and Adaptive Design Approaches , 2013 .

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

[10]  Bin Liu,et al.  Multi-Agent Based Hierarchical Hybrid Control for Smart Microgrid , 2013, IEEE Transactions on Smart Grid.

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

[12]  Elham Semsar-Kazerooni,et al.  Optimal Consensus Seeking in a Network of Multiagent Systems: An LMI Approach , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[13]  Li Yu,et al.  Group consensus in multi-agent systems with hybrid protocol , 2013, J. Frankl. Inst..

[14]  Fuad E. Alsaadi,et al.  Almost sure H∞ filtering for nonlinear hybrid stochastic systems with mode-dependent interval delays , 2015, Journal of the Franklin Institute.

[16]  Zhi-Hong Guan,et al.  On consensus performance of nonlinear multi-agent systems with hybrid control , 2016, J. Frankl. Inst..

[17]  Huaguang Zhang,et al.  Distributed Cooperative Optimal Control for Multiagent Systems on Directed Graphs: An Inverse Optimal Approach , 2015, IEEE Transactions on Cybernetics.

[18]  Gang Feng,et al.  Consensus Analysis Based on Impulsive Systems in Multiagent Networks , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Jitao Sun,et al.  Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects , 2010, J. Frankl. Inst..

[20]  Jitao Sun,et al.  Asymptotic stability of differential systems with impulsive effects suffered by logic choice , 2015, Autom..

[21]  Wassim M. Haddad,et al.  Non-linear impulsive dynamical systems. Part II: Stability of feedback interconnections and optimality , 2001 .