Stationary average consensus protocol for a class of heterogeneous high-order multi-agent systems with application for aircraft

ABSTRACT This paper investigates the stationary average consensus problem for a class of heterogeneous-order multi-agent systems. The goal is to bring the positions of agents to the average of their initial positions while letting the other states converge to zero. To this end, three different consensus protocols are proposed. First, based on the auxiliary variables information among the agents under switching directed networks and state-feedback control, a protocol is proposed whereby all the agents achieve stationary average consensus. In the second and third protocols, by resorting to only measurements of relative positions of neighbouring agents under fixed balanced directed networks, two control frameworks are presented with two strategies based on state-feedback and output-feedback control. Finally, simulation results are given to illustrate the effectiveness of the proposed protocols.

[1]  Yunpeng Wang,et al.  Distributed exponential finite-time coordination of multi-agent systems: containment control and consensus , 2015, Int. J. Control.

[2]  Xinping Guan,et al.  Finite-time Consensus of Heterogeneous Multi-agent Systems with Linear and Nonlinear Dynamics , 2014 .

[3]  Reza Olfati-Saber.  Global configuration stabilization for the VTOL aircraft with strong input coupling , 2002, IEEE Trans. Autom. Control..

[4]  Qing Zhang,et al.  Consensus of a heterogeneous multi-agent system with input saturation , 2015, Neurocomputing.

[5]  Zongli Lin,et al.  Distributed Consensus Control of Multi-Agent Systems With Higher Order Agent Dynamics and Dynamically Changing Directed Interaction Topologies , 2016, IEEE Transactions on Automatic Control.

[6]  Mohammad Bagher Menhaj,et al.  Formation control of VTOL UAV vehicles under switching-directed interaction topologies with disturbance rejection , 2018, Int. J. Control.

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

[8]  Yan-Wu Wang,et al.  Output formation-containment of coupled heterogeneous linear systems under intermittent communication , 2017, J. Frankl. Inst..

[9]  Xuyang Lou,et al.  Distributed consensus estimation for diffusion systems with missing measurements over sensor networks , 2016, Int. J. Syst. Sci..

[10]  Long Wang,et al.  Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements , 2012, Syst. Control. Lett..

[11]  Xiaoqing Lu,et al.  Distributed power control for DERs based on networked multiagent systems with communication delays , 2016, Neurocomputing.

[12]  Frank L. Lewis,et al.  Consensus of heterogeneous first‐ and second‐order multi‐agent systems with directed communication topologies , 2015 .

[13]  Farzaneh Abdollahi,et al.  Average Consensus Over High-Order Multiagent Systems , 2015, IEEE Transactions on Automatic Control.

[14]  Ahmed Rahmani,et al.  Distributed consensus-based formation control for multiple nonholonomic mobile robots with a specified reference trajectory , 2015, Int. J. Syst. Sci..

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

[16]  Quanmin Zhu,et al.  Adaptive synchronised tracking control for multiple robotic manipulators with uncertain kinematics and dynamics , 2016, Int. J. Syst. Sci..

[17]  Wei Zhu,et al.  Finite-time consensus for heterogeneous multi-agent systems with mixed-order agents , 2015, Int. J. Syst. Sci..

[18]  Fei Liu,et al.  Dynamical consensus seeking of heterogeneous multi‐agent systems under input delays , 2012, Int. J. Commun. Syst..

[19]  Farzaneh Abdollahi,et al.  Decentralized H∞ consensus protocol for a class of high-order multiagent systems , 2016 .

[20]  Long Wang,et al.  Consensus of heterogeneous multi-agent systems without velocity measurements , 2012, Int. J. Control.

[21]  Hanlei Wang,et al.  Reaching a consensus in networks of high-order integral agents under switching directed topologies , 2013, Int. J. Syst. Sci..

[22]  Carlos Angel Iglesias,et al.  A real-life application of multi-agent systems for fault diagnosis in the provision of an Internet business service , 2014, J. Netw. Comput. Appl..

[23]  Xinghuo Yu,et al.  Higher order finite-time consensus protocol for heterogeneous multi-agent systems , 2015, Int. J. Control.

[24]  Long Cheng,et al.  Containment Control of Multiagent Systems With Dynamic Leaders Based on a $PI^{n}$ -Type Approach , 2014, IEEE Transactions on Cybernetics.

[25]  Mohammad Bagher Menhaj,et al.  Integral sliding mode formation control of fixed-wing unmanned aircraft using seeker as a relative measurement system , 2016 .

[26]  S. Shankar Sastry,et al.  Nonlinear control design for slightly non-minimum phase systems: Application to V/STOL aircraft , 1992, Autom..

[27]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[28]  Farzaneh Abdollahi,et al.  Motion synchronization in unmanned aircrafts formation control with communication delays , 2013, Commun. Nonlinear Sci. Numer. Simul..

[29]  Jingying Ma,et al.  Optimal topology for consensus of heterogeneous multi-agent systems , 2016, Neurocomputing.

[30]  Luis Jiménez,et al.  A multi-agent approach to intelligent monitoring in smart grids , 2014, Int. J. Syst. Sci..

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

[32]  Yu-Ping Tian,et al.  Consensus in Heterogeneous Multi-Agent Systems , 2012 .

[33]  Mohammad Bagher Menhaj,et al.  Stationary average consensus for high-order multi-agent systems , 2017 .

[34]  Jiang-Wen Xiao,et al.  Distributed hierarchical control design of coupled heterogeneous linear systems under switching networks , 2017 .

[35]  Ella M. Atkins,et al.  Distributed multi‐vehicle coordinated control via local information exchange , 2007 .