Decentralized adaptive synchronization in nonlinear dynamical networks with nonidentical nodes

For a network of interconnected nonlinear dynamical systems an adaptive leader-follower output feedback synchronization problem is considered. The structure of decentralized controller and adaptation algorithm is proposed based on speed-gradient and passivity. Sufficient conditions of synchronization for nonidentical nodes are established. An example of synchronization of the network of nonidentical Chua systems is analyzed. The main contribution of the paper is adaptive controller design and analysis under conditions of incomplete measurements, incomplete control and uncertainty.

[1]  J. Willems.  A partial stability approach to the problem of transient power system stability , 1974 .

[2]  Yoan D. Landau,et al.  The Model Reference Approach, Adaptive Control , 1980 .

[3]  L. Chua,et al.  Synchronization in an array of linearly coupled dynamical systems , 1995 .

[4]  Zhi-Hong Guan,et al.  Synchronization of Complex Dynamical Networks with Switching Topology via Adaptive Control , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

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

[6]  M. E. Sezer,et al.  Adaptive decentralized control of interconnected systems , 2004 .

[7]  Alexander L. Fradkov,et al.  Nonlinear and Adaptive Control of Complex Systems , 1999 .

[8]  Dimitri Peaucelle,et al.  Estimation and Control Under Information Constraints for LAAS Helicopter Benchmark , 2010, IEEE Transactions on Control Systems Technology.

[9]  Toru Namerikawa,et al.  Observer-based consensus control strategy for multi-agent system with communication time delay , 2008, 2008 IEEE International Conference on Control Applications.

[10]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2005, IEEE Transactions on Automatic Control.

[11]  Robin J. Evans,et al.  Trajectory-approximation-based adaptive control for nonlinear systems under matching conditions , 1998, Autom..

[12]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.

[13]  Jun Zhao,et al.  Decentralized Synchronization of an Uncertain Complex Dynamical Network , 2007, 2007 American Control Conference.