Consensus of Multiple Lur’e Systems for Directed Communication Graphs with Distributed Adaptive Relative Output Feedback Protocol

In this paper, the consensus problem of multiple Lur’e systems over directed graphs is considered, where only relative output information between neighboring agents is used to generate the distributed protocols. The main difficulty lies in the coupling between the design of distributed observer and adaptive protocol. To overcome such difficulty, the idea of unknown input observer is borrowed to propose distributed observers, based on which a fully distributed adaptive protocol is presented. The effectiveness of the proposed adaptive protocol is verified by numerical simulations. The adaptive protocol is designed in a fully distributed way, depending only on relative output information between neighboring agents, without using the information of the global communication graph.

[1]  Guanghui Wen,et al.  Distributed finite-time tracking control for multi-agent systems: An observer-based approach , 2013, Syst. Control. Lett..

[2]  Yu Zhao,et al.  Robust consensus tracking of multi-agent systems with uncertain lur'e-type non-linear dynamics , 2013 .

[3]  M. Darouach,et al.  Full-order observers for linear systems with unknown inputs , 1994, IEEE Trans. Autom. Control..

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

[5]  Fang Hua-jing.  Finite-time tracking control for multi-agent systems , 2011 .

[6]  Yu Wenwu,et al.  Distributed node-to-node consensus of multi-agent systems with Lur'e node dynamics , 2013, Proceedings of the 32nd Chinese Control Conference.

[7]  Rabinder N Madan,et al.  Chua's Circuit: A Paradigm for Chaos , 1993, Chua's Circuit.

[8]  G. Antonelli,et al.  Interconnected dynamic systems: An overview on distributed control , 2013, IEEE Control Systems.

[9]  Ruggero Carli,et al.  Quantized average consensus via dynamic coding/decoding schemes , 2008, 2008 47th IEEE Conference on Decision and Control.

[10]  Zhisheng Duan,et al.  Distributed consensus protocol design for general linear multi-agent systems: a consensus region approach , 2014 .

[11]  Ali Saberi,et al.  Output synchronization for heterogeneous networks of introspective right‐invertible agents , 2014 .

[12]  Yuezu Lv,et al.  Distributed adaptive consensus protocols for linear multi-agent systems over directed graphs with relative output information , 2017 .

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

[14]  Hyungbo Shim,et al.  Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach , 2009, Autom..

[15]  Z. Qu,et al.  Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles , 2009 .

[16]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[17]  Fan Zhang,et al.  Fully distributed robust synchronization of networked Lur'e systems with incremental nonlinearities , 2014, Autom..

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

[19]  R. W. Wilde,et al.  Observers for linear systems with unknown inputs , 1988 .

[20]  Yuezu Lv,et al.  Distributed adaptive consensus protocols for multiple Lur'e systems over directed graphs , 2016 .

[21]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[22]  Guanrong Chen,et al.  Global synchronised regions of linearly coupled Lur'e systems , 2011, Int. J. Control.

[23]  Fan Zhang,et al.  Robust synchronization of Lur'e networks with incremental nonlinearities , 2013, 52nd IEEE Conference on Decision and Control.

[24]  Frank L. Lewis,et al.  Optimal Design for Synchronization of Cooperative Systems: State Feedback, Observer and Output Feedback , 2011, IEEE Transactions on Automatic Control.

[25]  Hui Liu,et al.  Robust decentralized output regulation with single or multiple reference signals for uncertain heterogeneous systems , 2015 .

[26]  Lin Huang,et al.  Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.