Cooperative source seeking via gradient estimation and formation control (Part 2)

In this paper and its companion paper [16], the problem of cooperative source seeking by a formation of mobile agents is considered. Each agent is equipped with position and signal strength measurement sensors; their task is to find the maximum of the scalar field. Agents exchange information with neighboring agents through a communication network. In the first paper, a distributed gradient estimation for each agent and a decentralized navigation controller for single- and double-integrator models are presented. In this paper, that approach is extended to general linear time-invariant (LTI) models. Our approach is verified using formation flight simulation for quad-rotor helicopters and stability conditions are provided.

[1]  Petter Ögren,et al.  Cooperative control of mobile sensor networks:Adaptive gradient climbing in a distributed environment , 2004, IEEE Transactions on Automatic Control.

[2]  Carlos Canudas-de-Wit,et al.  Source seeking via collaborative measurements by a circular formation of agents , 2010, Proceedings of the 2010 American Control Conference.

[3]  Zhisheng Duan,et al.  On H∞ and H2 performance regions of multi-agent systems , 2011, Autom..

[4]  Murat Arcak,et al.  Gradient climbing in formation via extremum seeking and passivity-based coordination rules , 2007, 2007 46th IEEE Conference on Decision and Control.

[5]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[6]  J. Cortés Achieving coordination tasks in finite time via nonsmooth gradient flows , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[7]  Herbert Werner,et al.  Cooperative source seeking via gradient estimation and formation control (Part 1) , 2014, 2014 UKACC International Conference on Control (CONTROL).

[8]  Francesco Borrelli,et al.  Distributed LQR Design for Identical Dynamically Decoupled Systems , 2008, IEEE Transactions on Automatic Control.

[9]  Herbert Werner,et al.  Robust controller design for formation flight of quad-rotor helicopters , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[10]  Herbert Werner,et al.  Modified distributed consensus filter for sensor networks , 2014, 2014 European Control Conference (ECC).

[11]  Michel Verhaegen,et al.  Distributed Control for Identical Dynamically Coupled Systems: A Decomposition Approach , 2009, IEEE Transactions on Automatic Control.

[12]  N Ghods,et al.  Multi-agent deployment around a source in one dimension by extremum seeking , 2010, Proceedings of the 2010 American Control Conference.

[13]  Herbert Werner,et al.  A robust control approach to formation control , 2009, 2009 European Control Conference (ECC).

[14]  Herbert Werner,et al.  Robust Stability of a Multi-Agent System Under Arbitrary and Time-Varying Communication Topologies and Communication Delays , 2012, IEEE Transactions on Automatic Control.

[15]  Yi Guo,et al.  Distributed source seeking by cooperative robots: All-to-all and limited communications , 2012, 2012 IEEE International Conference on Robotics and Automation.

[16]  Rogelio Lozano,et al.  Real-time embedded control system for VTOL aircrafts: Application to stabilize a quad-rotor helicopter , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[17]  Naomi Ehrich Leonard,et al.  Cooperative Filters and Control for Cooperative Exploration , 2010, IEEE Transactions on Automatic Control.

[18]  Carlos Canudas-de-Wit,et al.  Collaborative estimation of gradient direction by a formation of AUVs under communication constraints , 2011, IEEE Conference on Decision and Control and European Control Conference.