Semi-Global Output Consensus for Discrete-Time Switching Networked Systems Subject to Input Saturation and External Disturbances

The semi-global output consensus problem for multiagent systems depicted by discrete-time dynamics subject to external disturbances and input saturation over switching networks is investigated in this paper. Assume that only a small part of subsystems have directly received the output of the exosystem. The distributed consensus algorithms are proposed by adopting the low-gain state feedback and the modified algebraic Riccati equation. Then, the outputs of all subsystems can reach synchronization asymptotically with those of the exosystem by using the proposed consensus protocols on some preconditions. Both the connected switching networks and the jointly connected switching networks are considered for the semi-global output consensus problem, respectively. Some numerical simulation results are shown to validate the theoretical analysis.

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

[2]  Jie Huang,et al.  Cooperative Output Regulation With Application to Multi-Agent Consensus Under Switching Network , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[3]  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.

[4]  Xiao Fan Wang,et al.  Flocking of Multi-Agents With a Virtual Leader , 2009, IEEE Trans. Autom. Control..

[5]  Guanrong Chen,et al.  Fully Distributed Event-Triggered Semiglobal Consensus of Multi-agent Systems With Input Saturation , 2017, IEEE Transactions on Industrial Electronics.

[6]  Housheng Su,et al.  Observer-Based Consensus for Positive Multiagent Systems With Directed Topology and Nonlinear Control Input , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[7]  Xin-Ping Guan,et al.  Output consensus for heterogeneous nonlinear multi-agent systems based on T-S fuzzy model , 2017, J. Syst. Sci. Complex..

[8]  Zongli Lin,et al.  Output regulation for linear discrete-time systems subject to input saturation , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

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

[10]  Lei Wang,et al.  Semi-global output consensus of discrete-time multi-agent systems with input saturation and external disturbances. , 2017, ISA transactions.

[11]  Jun Zhao,et al.  Semi-global output regulation problem of switched linear multi-agent systems subject to input saturation , 2017 .

[12]  Nikhil Chopra,et al.  Output Synchronization on Strongly Connected Graphs , 2012, IEEE Transactions on Automatic Control.

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

[14]  Guanrong Chen,et al.  Stabilizing Solution and Parameter Dependence of Modified Algebraic Riccati Equation With Application to Discrete-Time Network Synchronization , 2016, IEEE Transactions on Automatic Control.

[15]  Yu Zhao,et al.  Distributed average tracking for multiple signals generated by linear dynamical systems: An edge-based framework , 2016, Autom..

[16]  Felipe Cucker,et al.  Emergent Behavior in Flocks , 2007, IEEE Transactions on Automatic Control.

[17]  Bo Liu,et al.  Group controllability of two-time-scale multi-agent networks , 2018, J. Frankl. Inst..

[18]  Guang-Hong Yang,et al.  Consensus of Linear Multiagent Systems With Actuator Saturation and External Disturbances , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[19]  Vikram Manikonda,et al.  A multi-agent approach to cooperative traffic management and route guidance , 2005 .

[20]  Housheng Su,et al.  Event-triggered consensus tracking for fractional-order multi-agent systems with general linear models , 2018, Neurocomputing.

[21]  Wei Ren.  Consensus tracking under directed interaction topologies: Algorithms and experiments , 2008, ACC.

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

[23]  Guanghui Wen,et al.  Distributed Optimization for Linear Multiagent Systems: Edge- and Node-Based Adaptive Designs , 2017, IEEE Transactions on Automatic Control.

[24]  Lili Wang,et al.  Formation Control With Size Scaling Via a Complex Laplacian-Based Approach , 2016, IEEE Transactions on Cybernetics.

[25]  Yi Dong,et al.  Leader-Following Connectivity Preservation Rendezvous of Multiple Double Integrator Systems Based on Position Measurement Only , 2014, IEEE Transactions on Automatic Control.

[26]  Yan Shi,et al.  Adaptive Output Consensus With Saturation and Dead-Zone and Its Application , 2017, IEEE Transactions on Industrial Electronics.

[27]  Mark W. Spong,et al.  Output Synchronization of Nonlinear Systems with Relative Degree One , 2008, Recent Advances in Learning and Control.

[28]  Yingmin Jia,et al.  Adaptive leader-following consensus control of multi-agent systems using model reference adaptive control approach , 2012 .

[29]  Xia Chen,et al.  Observer-Based Discrete-Time Nonnegative Edge Synchronization of Networked Systems , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[30]  Gokhan Kirlik,et al.  A Dynamic Path Planning Approach for Multirobot Sensor-Based Coverage Considering Energy Constraints , 2009, IEEE Transactions on Cybernetics.

[31]  Qingyun Wang,et al.  Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances , 2017, Appl. Math. Comput..

[32]  Zhang Ren,et al.  Distributed Time-Varying Formation Robust Tracking for General Linear Multiagent Systems With Parameter Uncertainties and External Disturbances , 2017, IEEE Transactions on Cybernetics.

[33]  Yu Zhao,et al.  Distributed average computation for multiple time‐varying signals with output measurements , 2016 .

[34]  Jie Huang,et al.  A General Result on the Robust Cooperative Output Regulation for Linear Uncertain Multi-Agent Systems , 2013, IEEE Transactions on Automatic Control.

[35]  Housheng Su,et al.  Adaptive flocking with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity , 2013 .

[36]  Xia Chen,et al.  Positive Edge Consensus of Complex Networks , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[37]  Dimos V. Dimarogonas,et al.  On the Rendezvous Problem for Multiple Nonholonomic Agents , 2007, IEEE Transactions on Automatic Control.

[38]  Yiguang Hong,et al.  Semi‐global output consensus of a group of linear systems in the presence of external disturbances and actuator saturation: An output regulation approach , 2016 .

[39]  Gang Feng,et al.  Output Consensus of Heterogeneous Linear Multi-Agent Systems by Distributed Event-Triggered/Self-Triggered Strategy , 2017, IEEE Transactions on Cybernetics.

[40]  Jie Huang,et al.  Cooperative Adaptive Output Regulation for Second-Order Nonlinear Multiagent Systems With Jointly Connected Switching Networks , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[41]  Changyin Sun,et al.  Robust output synchronization of linear multi‐agent systems with constant disturbances via integral control , 2017 .

[42]  James Lam,et al.  Semiglobal Observer-Based Leader-Following Consensus With Input Saturation , 2014, IEEE Transactions on Industrial Electronics.

[43]  Housheng Su,et al.  Discrete-Time Positive Edge-Consensus for Undirected and Directed Nodal Networks , 2018, IEEE Transactions on Circuits and Systems II: Express Briefs.

[44]  Gang Feng,et al.  Output Consensus of Heterogeneous Linear Discrete-Time Multiagent Systems With Structural Uncertainties , 2015, IEEE Transactions on Cybernetics.

[45]  Hongtao Zhou,et al.  Semi-global consensus with position limited and rate disturbances via low gain feedback and integral sliding mode control , 2017 .

[46]  Xiao Fan Wang,et al.  Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[47]  James Lam,et al.  Positive Edge-Consensus for Nodal Networks via Output Feedback , 2019, IEEE Transactions on Automatic Control.

[48]  Hyungbo Shim,et al.  Output Consensus of Heterogeneous Uncertain Linear Multi-Agent Systems , 2011, IEEE Transactions on Automatic Control.

[49]  Guanrong Chen,et al.  Consensus of Discrete-Time Linear Multi-Agent Systems with Observer-Type Protocols , 2011, ArXiv.

[50]  Yu Zhao,et al.  Appointed-time consensus: Accurate and practical designs , 2018, Autom..

[51]  Guanrong Chen,et al.  A decoupled designing approach for sampling consensus of multi‐agent systems , 2018 .