Adaptive periodic event-triggered consensus for multi-agent systems subject to input saturation

ABSTRACT This paper investigates the distributed adaptive event-triggered consensus control for a class of nonlinear agents. Each agent is subject to input saturation. Two kinds of distributed event-triggered control scheme are introduced, one is continuous-time-based event-triggered scheme and the other is sampled-data-based event-triggered scheme. Compared with the traditional event-triggered schemes in the existing literatures, the parameters of the event-triggered schemes in this paper are adaptively adjusted by using some event-error-dependent adaptive laws. The problem of simultaneously deriving the controller gain matrix and the event-triggering parameter matrix, and tackling the saturation nonlinearity is cast into standard linear matrix inequalities problem. A convincing simulation example is given to demonstrate the theoretical results.

[1]  Zongli Lin,et al.  Flocking of Multi-Agents With a Virtual Leader , 2009, IEEE Transactions on Automatic Control.

[2]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[3]  Daizhan Cheng,et al.  Leader-following consensus of multi-agent systems under fixed and switching topologies , 2010, Syst. Control. Lett..

[4]  Frank Allgöwer,et al.  Consensus in Multi-Agent Systems With Coupling Delays and Switching Topology , 2011, IEEE Transactions on Automatic Control.

[5]  Xiao Fan Wang,et al.  Flocking of Multi-Agents With a Virtual Leader , 2009, IEEE Trans. Autom. Control..

[6]  Fei Hao,et al.  Asynchronous decentralised event-triggered control of multi-agent systems , 2014, Int. J. Control.

[7]  Ziyang Meng,et al.  On global leader-following consensus of identical linear dynamic systems subject to actuator saturation , 2013, Syst. Control. Lett..

[8]  Wei Wu,et al.  Event-Triggered Control for Linear Systems Subject to Actuator Saturation , 2014 .

[9]  Chee Khiang Pang,et al.  Special Issue on “Distributed and Networked Control Systems” , 2015 .

[10]  Guanrong Chen,et al.  Adaptive second-order consensus of networked mobile agents with nonlinear dynamics , 2011, Autom..

[11]  Songlin Hu,et al.  Event-triggered control design of linear networked systems with quantizations. , 2012, ISA transactions.

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

[13]  Qing-Long Han,et al.  A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems , 2014, Autom..

[14]  Karl Henrik Johansson,et al.  Actuator saturation and anti-windup compensation in event-triggered control , 2012, Discrete Event Dynamic Systems.

[15]  Xiuxia Yin,et al.  Adaptive event-triggered consensus for multi-agent systems with stochastic switching topologies and delays , 2013, 2013 IEEE International Symposium on Industrial Electronics.

[16]  Guanghui Wen,et al.  Consensus of multi‐agent systems with nonlinear dynamics and sampled‐data information: a delayed‐input approach , 2013 .

[17]  Zhiyong Chen,et al.  Semi-Global Consensus of Nonlinear Second-Order Multi-Agent Systems With Measurement Output Feedback , 2014, IEEE Transactions on Automatic Control.

[18]  Guanghui Wen,et al.  Distributed consensus of multi‐agent systems with general linear node dynamics and intermittent communications , 2014 .

[19]  Housheng Su,et al.  Adaptive flocking with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity , 2013 .

[20]  Zhong-Ping Jiang,et al.  Event-based consensus of multi-agent systems with general linear models , 2014, Autom..

[21]  Ziyang Meng,et al.  Global consensus for discrete-time multi-agent systems with input saturation constraints , 2014, Autom..

[22]  Dong Yue,et al.  Event-triggered tracking control for heterogeneous multi-agent systems with Markov communication delays , 2013, J. Frankl. Inst..

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

[24]  James Lam,et al.  Adaptive consensus with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity , 2013 .

[25]  Dong Yue,et al.  Distributed event-triggered control of discrete-time heterogeneous multi-agent systems , 2013, J. Frankl. Inst..

[26]  Long Wang,et al.  Consensus of linear multi-agent systems via event-triggered control , 2014, Int. J. Control.

[27]  Xiaoli Wang,et al.  Distributed event-triggered output regulation of multi-agent systems , 2015, Int. J. Control.

[28]  Jinhuan Wang,et al.  Event‐triggered Control of Linear Systems with Saturated Inputs , 2015 .

[29]  Songlin Hu,et al.  Consensus of fractional-order heterogeneous multi-agent systems , 2013 .

[30]  James Lam,et al.  Semi-Global Leader-Following Consensus of Linear Multi-Agent Systems With Input Saturation via Low Gain Feedback , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[31]  Fuchun Sun,et al.  Robust consensus for networked mechanical systems with coupling time delay , 2012 .

[32]  Ali Saberi,et al.  Semi‐global regulation of output synchronization for heterogeneous networks of non‐introspective, invertible agents subject to actuator saturation , 2014 .

[33]  Nejat Olgaç,et al.  A consensus protocol under directed communications with two time delays and delay scheduling , 2014, Int. J. Control.

[34]  Sophie Tarbouriech,et al.  Stability and Stabilization of Linear Systems with Saturating Actuators , 2011 .

[35]  Gang Feng,et al.  Distributed event-triggered control of multi-agent systems with combinational measurements , 2013, Autom..

[36]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[37]  Guanrong Chen,et al.  Robust semi‐global coordinated tracking of linear multi‐agent systems with input saturation , 2015 .