Fixed-Time Bipartite Consensus Tracking of Fractional-Order Multi-Agent Systems With a Dynamic Leader

This brief considers the fixed-time bipartite consensus tracking problem of a fractional-order multiagent system (FOMAS) with a dynamic leader in a general directed signed network. Firstly, by introducing a neighborhood-based variable, the FOMAS is transformed into an integer-order MAS. Then, a distributed protocol with heterogeneous coupling gains is proposed to ensure that the fixed-time bipartite consensus tracking can be achieved within a settling time. The upper bound of the settling time can be estimated explicitly, which is irrelevant to any initial conditions. Finally, the effectiveness of the proposed distributed protocol is illustrated by numerical simulation.

[1]  B. West.  Fractional Calculus in Bioengineering , 2007 .

[2]  Weiyao Lan,et al.  Adaptive Robust Tracking Control for Multiple Unknown Fractional-Order Nonlinear Systems , 2019, IEEE Transactions on Cybernetics.

[3]  Guanghui Wen,et al.  Fixed-Time Consensus of Nonlinear Multi-Agent Systems With General Directed Topologies , 2019, IEEE Transactions on Circuits and Systems II: Express Briefs.

[4]  Wei Hu,et al.  Differential evolution-based parameter estimation and synchronization of heterogeneous uncertain nonlinear delayed fractional-order multi-agent systems with unknown leader , 2019 .

[5]  Yisheng Zhong,et al.  Time-Varying Formation Control for Unmanned Aerial Vehicles: Theories and Applications , 2015, IEEE Transactions on Control Systems Technology.

[6]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[7]  Abdesselem Boulkroune,et al.  Fuzzy generalized projective synchronization of incommensurate fractional-order chaotic systems , 2016, Neurocomputing.

[8]  I. Petráš.  Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation , 2011 .

[9]  Milind Tambe,et al.  Distributed Sensor Networks: A Multiagent Perspective , 2003 .

[10]  Guanghui Wen,et al.  Bipartite Tracking Consensus of Linear Multi-Agent Systems With a Dynamic Leader , 2018, IEEE Transactions on Circuits and Systems II: Express Briefs.

[11]  Sourav Bhowmick,et al.  Leader–Follower Bipartite Consensus of Linear Multiagent Systems Over a Signed Directed Graph , 2019, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Xinghuo Yu,et al.  Admissible Leader-Following Consensus of Fractional-Order Singular Multiagent System via Observer-Based Protocol , 2019, IEEE Transactions on Circuits and Systems II: Express Briefs.

[13]  Zhengtao Ding,et al.  Fixed-Time Consensus Tracking for Multiagent Systems With High-Order Integrator Dynamics , 2018, IEEE Transactions on Automatic Control.

[14]  Long Cheng,et al.  Exponential Finite-Time Consensus of Fractional-Order Multiagent Systems , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[15]  Junping Du,et al.  Finite-Time Consensus for Multiagent Systems With Cooperative and Antagonistic Interactions , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[16]  Andrey Polyakov,et al.  Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems , 2012, IEEE Transactions on Automatic Control.

[17]  Long Wang,et al.  Recent Advances in Consensus of Multi-Agent Systems: A Brief Survey , 2017, IEEE Transactions on Industrial Electronics.

[18]  Qing-Long Han,et al.  An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems , 2018, IEEE Transactions on Industrial Informatics.

[19]  T. Kaczorek,et al.  Fractional Differential Equations , 2015 .

[20]  Mingjun Du,et al.  Interval Bipartite Consensus of Networked Agents Associated With Signed Digraphs , 2016, IEEE Transactions on Automatic Control.

[21]  Fuad E. Alsaadi,et al.  A new class of fixed-time bipartite consensus protocols for multi-agent systems with antagonistic interactions , 2018, J. Frankl. Inst..

[22]  Weiyao Lan,et al.  Adaptive robust tracking control for uncertain nonlinear fractional-order multi-agent systems with directed topologies , 2018, Autom..

[23]  Guanghui Wen,et al.  Designing Fully Distributed Consensus Protocols for Linear Multi-Agent Systems With Directed Graphs , 2013, IEEE Transactions on Automatic Control.

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

[25]  Claudio Altafini,et al.  Consensus Problems on Networks With Antagonistic Interactions , 2013, IEEE Transactions on Automatic Control.

[26]  Zhengrong Xiang,et al.  Fixed-Time Consensus for a Class of Heterogeneous Nonlinear Multiagent Systems , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.

[27]  Ping Gong,et al.  Distributed tracking of heterogeneous nonlinear fractional-order multi-agent systems with an unknown leader , 2017, J. Frankl. Inst..

[28]  Yang Liu,et al.  Nonlinear second-order multi-agent systems subject to antagonistic interactions without velocity constraints , 2020, Appl. Math. Comput..

[29]  Bo Chen,et al.  A Review of the Applications of Agent Technology in Traffic and Transportation Systems , 2010, IEEE Transactions on Intelligent Transportation Systems.