L2 gain stability analysis of event-triggered agreement protocols

We extend our previous results on event-triggered agreement by proposing a triggering mechanism that is finite ℒ2 gain stable with respect to additive disturbances in the open loop dynamics of the agents. Moreover, the control design is both distributed and provides strictly positive inter-execution times. Simulation examples support the derived theoretical results.

[1]  W. P. M. H. Heemels,et al.  Analysis of event-driven controllers for linear systems , 2008, Int. J. Control.

[2]  Magnus Egerstedt,et al.  Distributed Coordination Control of Multiagent Systems While Preserving Connectedness , 2007, IEEE Transactions on Robotics.

[3]  P. Olver.  Nonlinear Systems , 2013 .

[4]  Michael D. Lemmon,et al.  Finite-gain L2 stability in distributed event-triggered networked control systems with data dropouts , 2009, 2009 European Control Conference (ECC).

[5]  Ella M. Atkins,et al.  Distributed multi‐vehicle coordinated control via local information exchange , 2007 .

[6]  Emilio Frazzoli,et al.  Efficient routing of multiple vehicles with no explicit communications , 2008 .

[7]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[8]  A. Arsie,et al.  Efficient routing of multiple vehicles with no communication , 2007, 2007 American Control Conference.

[9]  J. A. Fax,et al.  Graph Laplacians and Stabilization of Vehicle Formations , 2002 .

[10]  Brian D. O. Anderson,et al.  Control of acyclic formations of mobile autonomous agents , 2008, 2008 47th IEEE Conference on Decision and Control.

[11]  Karl Henrik Johansson,et al.  Control of Multi-Agent Systems via Event-based Communication , 2011 .

[12]  Karl Henrik Johansson,et al.  Event-triggered control for multi-agent systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[13]  Xiaofeng Wang,et al.  Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability , 2009, IEEE Transactions on Automatic Control.

[14]  Paulo Tabuada,et al.  To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems , 2008, IEEE Transactions on Automatic Control.

[15]  K.H. Johansson,et al.  Distributed and Collaborative Estimation over Wireless Sensor Networks , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[16]  Jan Lunze,et al.  Event-based control: A state-feedback approach , 2009, 2009 European Control Conference (ECC).

[17]  Karl Henrik Johansson,et al.  Event-triggered cooperative control , 2009, 2009 European Control Conference (ECC).

[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]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[20]  Xiaofeng Wang,et al.  Event-triggered broadcasting across distributed networked control systems , 2008, 2008 American Control Conference.

[21]  Murat Arcak,et al.  Passivity as a Design Tool for Group Coordination , 2007, IEEE Transactions on Automatic Control.