Global and Semi-global Regulated State Synchronization for Homogeneous Networks of Non-introspective Agents in Presence of Input Saturation- A Scale-free Protocol Design

This paper studies global and semi-global regulated state synchronization of homogeneous networks of non-introspective agents in presence of input saturation based on additional information exchange where the reference trajectory is given by a so-called exosystem which is assumed to be globally reachable. Our protocol design methodology does not need any knowledge of the directed network topology and the spectrum of the associated Laplacian matrix. Moreover, the proposed protocol is scalable and achieves synchronization for any arbitrary number of agents.

[1]  Guanghui Wen,et al.  Finite-Time Consensus for Second-Order Multi-Agent Systems With Input Saturation , 2018, IEEE Transactions on Circuits and Systems II: Express Briefs.

[2]  Hassan K. Khalil,et al.  Synchronization in Networks of Identical Linear Systems with Reduced Information , 2018, 2018 Annual American Control Conference (ACC).

[3]  Ali Saberi,et al.  Internal and External Stabilization of Linear Systems with Constraints , 2012 .

[4]  Wei Ren,et al.  On Consensus Algorithms for Double-Integrator Dynamics , 2007, IEEE Transactions on Automatic Control.

[5]  Meirong Zhang,et al.  Passivity based state synchronization of multi-agent systems via static or adaptive nonlinear dynamic protocols , 2018, 2018 Chinese Control And Decision Conference (CCDC).

[6]  Ali Saberi,et al.  On the existence of virtual exosystems for synchronized linear networks , 2013, Autom..

[7]  Kiyotsugu Takaba,et al.  A dynamic protocol for local synchronization of linear multi-agent systems subject to input saturation , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[8]  Meirong Zhang,et al.  Semiglobal state synchronization for continuous‐ or discrete‐time multiagent systems subject to actuator saturation , 2018, International Journal of Robust and Nonlinear Control.

[9]  James Lam,et al.  Semi-Global Leader-Following Consensus of Linear Multi-Agent Systems With Input Saturation via Low Gain Feedback , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[11]  H. Shim,et al.  Output feedback consensus for high-order linear systems having uniform ranks under switching topology , 2012 .

[12]  Chai Wah Wu,et al.  Synchronization in Complex Networks of Nonlinear Dynamical Systems , 2008 .

[13]  Ziyang Meng,et al.  Global consensus for discrete-time multi-agent systems with input saturation constraints , 2014, Autom..

[14]  Jie Huang,et al.  Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems , 2011, IEEE Transactions on Automatic Control.

[15]  Zongli Lin,et al.  Semi‐global leader‐following output consensus of heterogeneous multi‐agent systems with input saturation , 2018, International Journal of Robust and Nonlinear Control.

[16]  Housheng Su,et al.  Semi-global containment control of multi-agent systems with intermittent input saturation , 2015, J. Frankl. Inst..

[17]  Housheng Su,et al.  Multi-agent containment control with input saturation on switching topologies , 2015 .

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

[19]  Yongcan Cao,et al.  Distributed Coordination of Multi-agent Networks , 2011 .

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

[21]  Guanrong Chen,et al.  Robust semi‐global coordinated tracking of linear multi‐agent systems with input saturation , 2015 .

[22]  Hyungbo Shim,et al.  Consensus of output-coupled linear multi-agent systems under fast switching network: Averaging approach , 2013, Autom..

[23]  Frank Allgöwer,et al.  An internal model principle is necessary and sufficient for linear output synchronization , 2011, Autom..

[24]  Guang-Ren Duan,et al.  A Parametric Lyapunov Equation Approach to the Design of Low Gain Feedback , 2008, IEEE Transactions on Automatic Control.

[25]  Sezai Emre Tuna,et al.  Conditions for Synchronizability in Arrays of Coupled Linear Systems , 2008, IEEE Transactions on Automatic Control.

[26]  Michael Z. Q. Chen,et al.  Observer-based semi-global consensus of discrete-time multi-agent systems with input saturation , 2016 .

[27]  Ping Hou,et al.  On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators , 2000, IEEE Trans. Autom. Control..

[28]  Ziyang Meng,et al.  On global leader-following consensus of identical linear dynamic systems subject to actuator saturation , 2013, Syst. Control. Lett..

[29]  Meirong Zhang,et al.  Passivity based state synchronization of homogeneous discrete-time multi-agent systems via static protocol in presence of input delay , 2018, 2018 Annual American Control Conference (ACC).

[30]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[31]  Ali Saberi,et al.  Semi-global regulation of output synchronization for heterogeneous networks of non-introspective, invertible agents subject to actuator saturation , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[32]  Wei Wei,et al.  Consensus problems for linear time-invariant multi-agent systems with saturation constraints , 2011 .

[33]  Guanrong Chen,et al.  An overview of coordinated control for multi-agent systems subject to input saturation☆ , 2016 .

[34]  Frank Allgöwer,et al.  On topology and dynamics of consensus among linear high-order agents , 2011, Int. J. Syst. Sci..

[35]  W. Zhang,et al.  Observer-based adaptive consensus tracking for linear multi-agent systems with input saturation , 2015 .

[36]  Meirong Zhang,et al.  Passivity‐based state synchronization of homogeneous multiagent systems via static protocol in the presence of input saturation , 2018 .

[37]  Rodolphe Sepulchre,et al.  Synchronization in networks of identical linear systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[38]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

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