Robust Adaptive Leader-following Control of a Class of Multi-agent Systems

In this paper, the robust consensus control problem is investigated for a class of nonlinear second-order multi-agent systems against system time-varying state/input-independent uncertainties. By designing adaptive schemes and state-feedback control gains, a distributed controller is constructed to ensure the bounded consensus of agents in the presence of the uncertainties, and nonlinear dynamics. Finally, a multiple coupled nonlinear forced pendulum is used to validate the feasibility of the proposed method.

[1]  Haibo Ji,et al.  Robust consensus tracking for a class of heterogeneous second‐order nonlinear multi‐agent systems , 2015 .

[2]  Guanghui Wen,et al.  Distributed robust control of uncertain linear multi‐agent systems , 2015 .

[3]  Xin Wang,et al.  Distributed fault-tolerant control for a class of cooperative uncertain systems with actuator failures and switching topologies , 2016, Inf. Sci..

[4]  Daniel W. C. Ho,et al.  Fault-Tolerant Consensus of Multi-Agent System With Distributed Adaptive Protocol , 2015, IEEE Transactions on Cybernetics.

[5]  Marcel Staroswiecki,et al.  Fault tolerant cooperative control for a class of nonlinear multi-agent systems , 2011, Syst. Control. Lett..

[6]  Wei Xing Zheng,et al.  Robust Pinning Constrained Control and Adaptive Regulation of Coupled Chua’s Circuit Networks , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Guang-Hong Yang,et al.  Adaptive Pinning Control of Deteriorated Nonlinear Coupling Networks With Circuit Realization , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[8]  Qingling Zhang,et al.  Finite-time synchronization for second-order nonlinear multi-agent system via pinning exponent sliding mode control. , 2016, ISA transactions.

[9]  I. Petersen,et al.  Robust Control Design Using H-? Methods , 2012 .

[10]  Chao Yang,et al.  Distributed containment control of fractional-order uncertain multi-agent systems , 2016, J. Frankl. Inst..

[11]  Marios M. Polycarpou,et al.  Distributed adaptive fault-tolerant control of uncertain multi-agent systems , 2015, Autom..

[12]  Yisheng Zhong,et al.  Admissible consensus analysis for high‐order linear singular swarm systems with multiple time‐varying delays and topology variances , 2014 .

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

[14]  Mark A. Shayman,et al.  Geometry of the Algebraic Riccati Equation, Part II , 1983 .

[15]  Minyue Fu,et al.  Consensus conditions for general second-order multi-agent systems with communication delay , 2017, Autom..

[16]  Guanghui Wen,et al.  Distributed finite-time tracking for a multi-agent system under a leader with bounded unknown acceleration , 2015, Syst. Control. Lett..

[17]  Minyue Fu,et al.  Consensusability of linear multi‐agent systems with time delay , 2016 .

[18]  M. Shayman.  Geometry of the Algebraic Riccati Equation, Part I , 1983 .

[19]  Wei Xing Zheng,et al.  Adaptive Fault-Tolerant Consensus for a Class of Uncertain Nonlinear Second-Order Multi-Agent Systems With Circuit Implementation , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  Jiguo Yu,et al.  Adaptive fault-tolerant consensus for a class of leader-following systems using neural network learning strategy , 2020, Neural Networks.

[21]  Yunpeng Wang,et al.  On Convergence Rate of Leader-Following Consensus of Linear Multi-Agent Systems With Communication Noises , 2015, IEEE Transactions on Automatic Control.

[22]  Brian D. O. Anderson,et al.  On leaderless and leader-following consensus for interacting clusters of second-order multi-agent systems , 2016, Autom..

[23]  Jinzhi Wang,et al.  Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties , 2016, Syst. Control. Lett..

[24]  Bing Chen,et al.  Distributed adaptive coordination control for uncertain nonlinear multi-agent systems with dead-zone input , 2016, J. Frankl. Inst..

[25]  Juhoon Back,et al.  A disturbance observer based practical coordinated tracking controller for uncertain heterogeneous multi‐agent systems , 2015 .

[26]  Zhisheng Duan,et al.  Distributed Robust Consensus of a Class of Lipschitz Nonlinear Multi‐agent Systems with Matching Uncertainties , 2015 .

[27]  Dan Wang,et al.  Adaptive general pinned synchronization of a class of disturbed complex networks , 2019, Commun. Nonlinear Sci. Numer. Simul..

[28]  Anuradha M. Annaswamy,et al.  Robust Adaptive Control , 1984, 1984 American Control Conference.