Distributed Observer-Based Leader-Following Consensus Control for Second-Order Stochastic Multi-Agent Systems

This paper focuses on the leader-following consensus problem of second-order nonlinear stochastic multi-agent systems. The velocity of each follower agent is unmeasured. The distributed “reduced-order observer” is built for every follower to estimate its unknown velocity. The distributed controllers are proposed under the connected undirected topology. It can be proved that the consensus error of the stochastic multi-agent systems can converge to a small region of the origin under the backstepping control approach. Simulation is given to illustrate the effectiveness of the proposed algorithm.

[1]  Xinzhi Liu,et al.  Stochastic consensus seeking with communication delays , 2011, Autom..

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

[3]  Xun Li,et al.  Consensus seeking in multi-agent systems with multiplicative measurement noises , 2013, Syst. Control. Lett..

[4]  Wei Zhao,et al.  Leader-follower optimal coordination tracking control for multi-agent systems with unknown internal states , 2017, Neurocomputing.

[5]  Gang Feng,et al.  Cooperative control of multiple stochastic high-order nonlinear systems , 2017, Autom..

[6]  Weidong Zhang,et al.  Observer-Based Consensus Control Against Actuator Faults for Linear Parameter-Varying Multiagent Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[7]  C. L. Philip Chen,et al.  Fuzzy Observed-Based Adaptive Consensus Tracking Control for Second-Order Multiagent Systems With Heterogeneous Nonlinear Dynamics , 2016, IEEE Transactions on Fuzzy Systems.

[8]  Pengfei Zhang,et al.  Consensus of linear multi-agent systems via reduced-order observer , 2017, Neurocomputing.

[9]  Jie Huang,et al.  Cooperative output regulation of discrete-time linear time-delay multi-agent systems , 2015, 2016 35th Chinese Control Conference (CCC).

[10]  Xinzhi Liu,et al.  Distributed stochastic consensus of multi-agent systems with noisy and delayed measurements , 2013 .

[11]  Guo-Xing Wen,et al.  Observer-Based Adaptive Backstepping Consensus Tracking Control for High-Order Nonlinear Semi-Strict-Feedback Multiagent Systems , 2016, IEEE Transactions on Cybernetics.

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

[13]  Long Cheng,et al.  Decentralized Robust Adaptive Control for the Multiagent System Consensus Problem Using Neural Networks , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  Yan-Jun Liu,et al.  Formation Control With Obstacle Avoidance for a Class of Stochastic Multiagent Systems , 2018, IEEE Transactions on Industrial Electronics.

[15]  Tieshan Li,et al.  Adaptive NN control for a class of stochastic nonlinear systems with unmodeled dynamics using DSC technique , 2015, Neurocomputing.

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

[17]  Guanghui Wen,et al.  Stochastic consensus in directed networks of agents with non-linear dynamics and repairable actuator failures , 2012 .

[18]  Xin-Ping Guan,et al.  Distributed Adaptive Neural Network Output Tracking of Leader-Following High-Order Stochastic Nonlinear Multiagent Systems With Unknown Dead-Zone Input , 2017, IEEE Transactions on Cybernetics.

[19]  Tao Li,et al.  Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions , 2009, Autom..

[20]  E. G. Hernandez-Martinez,et al.  Hybrid Architecture for Coordination of AGVs in FMS , 2014 .

[21]  Xue-Jun Xie,et al.  Adaptive backstepping controller design using stochastic small-gain theorem , 2007, Autom..

[22]  Ji-Feng Zhang,et al.  Distributed practical output tracking of high-order stochastic multi-agent systems with inherent nonlinear drift and diffusion terms , 2014, Autom..

[23]  Shaocheng Tong,et al.  A Combined Backstepping and Stochastic Small-Gain Approach to Robust Adaptive Fuzzy Output Feedback Control , 2013, IEEE Transactions on Fuzzy Systems.

[24]  Shaocheng Tong,et al.  Adaptive fuzzy decentralized control for nonlinear large-scale systems based on high-gain observer , 2011, 2011 Chinese Control and Decision Conference (CCDC).

[25]  Mingyue Cui,et al.  Output feedback tracking control of stochastic Lagrangian systems and its application , 2014, Autom..

[26]  C. L. Philip Chen,et al.  Adaptive Fuzzy Leader-Following Consensus Control for Stochastic Multiagent Systems with Heterogeneous Nonlinear Dynamics , 2017, IEEE Transactions on Fuzzy Systems.

[27]  R. Khasminskii.  Stability of Stochastic Differential Equations , 2012 .

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