Multi-agent coordination with general linear models: A distributed output regulation approach

In this paper, the distributed output regulation problem of linear multi-agent systems is considered. Its background includes active leader following for the agents to track a leader with different dynamics and unmeasurable variables, and multi-agent consensus with environmental inputs. The driving force from active leaders or the environmental disturbance here is formulated as an exogenous system of the considered multi-agent networks. Then a systematic distributed design approach is proposed to handle output regulation via dynamic state feedback with the help of internal model. Necessary and sufficient conditions for the solvability are given.

[1]  Adi Ben-Israel,et al.  Generalized inverses: theory and applications , 1974 .

[2]  E. Davison.  The robust control of a servomechanism problem for linear time-invariant multivariable systems , 1976 .

[3]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[4]  A. Isidori,et al.  Output regulation of nonlinear systems , 1990 .

[5]  David W. Lewis,et al.  Matrix theory , 1991 .

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

[7]  Jie Huang,et al.  On the solvability of the regulator equations for a class of nonlinear systems , 2003, IEEE Trans. Autom. Control..

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

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

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

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

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

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

[14]  Jiangping Hu,et al.  Leader-following coordination of multi-agent systems with coupling time delays , 2007, 0705.0401.

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

[16]  Zhengtao Ding,et al.  Global decentralised output regulation for a class of large-scale nonlinear systems with nonlinear exosystem , 2007 .

[17]  F. Bullo,et al.  Motion Coordination with Distributed Information , 2007 .

[18]  Yiguang Hong,et al.  Distributed Observers Design for Leader-Following Control of Multi-Agent Networks (Extended Version) , 2017, 1801.00258.

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

[20]  Qin Li,et al.  RELAXED CONDITIONS FOR CONSENSUS IN MULTI-AGENT COORDINATION , 2008, J. Syst. Sci. Complex..