Distributed robust stabilization for a class of uncertain nonlinear multi-agent systems

This paper addresses the distributed robust stabilization problem for a class of uncertain nonlinear multiagent systems subject to dynamical uncertainties and external disturbances. A distributed adaptive controller is developed, based on the local information of the neighboring agents. The proposed controller can be implemented in a distributed manner for any undirected connected communication networks without requiring the accurate model of each agent. The proposed distributed neural controller guarantees that all signals in the closed-loop network are uniformly ultimately bounded. An example is given to show the efficacy of the proposed control method.

[1]  Kevin L. Moore,et al.  High-Order and Model Reference Consensus Algorithms in Cooperative Control of MultiVehicle Systems , 2007 .

[2]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[3]  Z. Duan,et al.  On H ∞ and H 2 performance regions of multi-agent systems ✩ , 2011 .

[4]  Frank L. Lewis,et al.  Distributed adaptive control for synchronization of unknown nonlinear networked systems , 2010, Autom..

[5]  Lihua Xie,et al.  Distributed robust control of linear multi-agent systems with parameter uncertainties , 2011, Int. J. Control.

[6]  Guangfu Ma,et al.  Distributed Coordinated Tracking With a Dynamic Leader for Multiple Euler-Lagrange Systems , 2011, IEEE Transactions on Automatic Control.

[7]  Qing Hui.  Optimal semistable control for continuous-time linear systems , 2011, Syst. Control. Lett..

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

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

[10]  Zhouhua Peng,et al.  Robust adaptive formation control of underactuated autonomous surface vehicles with uncertain dynamics , 2011 .

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

[12]  Long Wang,et al.  Consensus seeking of high-order dynamic multi-agent systems with fixed and switching topologies , 2010, Int. J. Control.

[13]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[14]  Sezai Emre Tuna,et al.  Synchronizing linear systems via partial-state coupling , 2008, Autom..

[15]  Wei Ren,et al.  Multi-vehicle consensus with a time-varying reference state , 2007, Syst. Control. Lett..

[16]  Dan Wang,et al.  Adaptive Dynamic Surface Control for Formations of Autonomous Surface Vehicles With Uncertain Dynamics , 2013, IEEE Transactions on Control Systems Technology.

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

[18]  Rodolphe Sepulchre,et al.  Synchronization in networks of identical linear systems , 2009, Autom..

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

[20]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[21]  S. E. Tuna.  LQR-based coupling gain for synchronization of linear systems , 2008, 0801.3390.

[22]  Dan Wang,et al.  Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form , 2005, IEEE Transactions on Neural Networks.

[23]  Jinde Cao,et al.  Second-order leader-following consensus of nonlinear multi-agent systems via pinning control , 2010, Syst. Control. Lett..

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

[25]  Richard M. Murray,et al.  INFORMATION FLOW AND COOPERATIVE CONTROL OF VEHICLE FORMATIONS , 2002 .

[26]  Craig W. Reynolds.  Flocks, herds, and schools: a distributed behavioral model , 1998 .

[27]  Wei Ren.  On Consensus Algorithms for Double-Integrator Dynamics , 2008, IEEE Trans. Autom. Control..

[28]  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.