Consensus of heterogeneous multi-agent nonlinear systems with unknown leaders

This paper considers a global robust output consensus (GROC) problem for heterogeneous multi-agent nonlinear systems with unknown leaders. For a class of normal-form nonlinear agents under general directed communication topologies, we develop a new nonlinear internal model approach for the problem. Specifically, by means of an effective problem conversion, we can establish an augmented dynamic network with integral input-to-state stable (iISS) inverse dynamics. Moreover, we are capable of constructing an output feedback consensus protocol through a direct auxiliary distributed stabilization design.

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

[2]  Lorenzo Marconi,et al.  Robust output synchronization of a network of heterogeneous nonlinear agents via nonlinear regulation theory , 2013, 52nd IEEE Conference on Decision and Control.

[3]  Lorenzo Marconi,et al.  Robust Autonomous Guidance , 2003 .

[4]  Lijun Zhu,et al.  Robust homogenization and consensus of nonlinear multi-agent systems , 2014, Syst. Control. Lett..

[5]  Jie Huang,et al.  Stabilization and Regulation of Nonlinear Systems , 2015 .

[6]  Jie Huang,et al.  Cooperative semi-global robust output regulation for a class of nonlinear uncertain multi-agent systems , 2014, Autom..

[7]  Jie Huang,et al.  Remarks on the robust output regulation problem for nonlinear systems , 2001, IEEE Trans. Autom. Control..

[8]  Dabo Xu,et al.  Robust internal models for nonlinear output regulation with uncertain exosystems , 2016, CCC 2016.

[9]  Zhong-Ping Jiang,et al.  Global robust distributed output consensus of multi-agent nonlinear systems: An internal model approach , 2016, Syst. Control. Lett..

[10]  Jie Huang,et al.  Stabilization and Regulation of Nonlinear Systems: A Robust and Adaptive Approach , 2014 .

[11]  Xinghu Wang,et al.  Output regulation of nonlinear output feedback systems with exponential parameter convergence , 2016, Syst. Control. Lett..

[12]  David Angeli,et al.  A characterization of integral input-to-state stability , 2000, IEEE Trans. Autom. Control..

[13]  Claudio De Persis,et al.  On the Internal Model Principle in the Coordination of Nonlinear Systems , 2014, IEEE Transactions on Control of Network Systems.

[14]  Zhengtao Ding,et al.  Adaptive consensus output regulation of a class of nonlinear systems with unknown high-frequency gain , 2015, Autom..

[15]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[16]  Jie Huang,et al.  A general framework for tackling the output regulation problem , 2004, IEEE Transactions on Automatic Control.

[17]  Jie Huang,et al.  Cooperative adaptive output regulation for a class of nonlinear uncertain multi-agent systems with unknown leader , 2013, Syst. Control. Lett..

[18]  Xinghu Wang,et al.  Consensus control of nonlinear leader-follower multi-agent systems with actuating disturbances , 2014, Syst. Control. Lett..

[19]  Jie Huang,et al.  Cooperative Global Robust Output Regulation for Nonlinear Multi-Agent Systems in Output Feedback Form , 2014 .

[20]  Robert J. Plemmons,et al.  Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.

[21]  Alberto Isidori,et al.  Robust Autonomous Guidance: An Internal Model Approach , 2003 .

[22]  Zhong-Ping Jiang,et al.  Distributed Output-Feedback Control of Nonlinear Multi-Agent Systems , 2013, IEEE Transactions on Automatic Control.