Event-triggered optimal containment control for heterogeneous multi-agent systems

  • WANG Dong ,
  • WANG Zehua ,
  • LIU Yang ,
  • GU Dongbing ,
  • WANG Wei
Expand
  • 1. Key Laboratory of Intelligent Control and Optimization for Industrial Equipment, Ministry of Eduction, Dalian University of Technology, Dalian 116024, China;
    2. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China;
    3. School of Computer Science and Electronic Engineering, University of Essex Wivenhoe Park, Colchester CO4 3SQ, United Kingdom

Received date: 2019-12-13

  Revised date: 2019-12-26

  Online published: 2020-01-10

Supported by

National Natural Science Foundation of China (61973050, 61773089)

Abstract

An edge-based event-triggered optimal control algorithm is proposed to solve the optimal output containment problem of general linear heterogeneous multi-agent systems. The proposed algorithm guarantees that the outputs of all followers enter into the convex hull formed by the outputs of leaders. At the same time, it can also render that the closed-loop system achieves the optimal performance and minimize the cost of control. Considering that the information of the leaders is unavailable to a part of followers, a distributed edge-based event-triggered observer is presented to estimate the trajectory for the interior point in the convex hull. In addition, a weighted performance function is designed to transform the output containment problem into the optimal state-feedback design problem. Based on the proposed function, the Bellman equation and algebraic Riccati equation are derived to solve the optimal output containment control problem of heterogeneous multi-agent systems. Multiple autonomous robots are employed as a group of multi-agent systems to verify the effectiveness of the proposed algorithm.

Cite this article

WANG Dong , WANG Zehua , LIU Yang , GU Dongbing , WANG Wei . Event-triggered optimal containment control for heterogeneous multi-agent systems[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020 , 41(S1) : 723775 -723775 . DOI: 10.7527/S1000-6893.2019.23775

References

[1] DUSAN T. Transport modeling by multi-agent systems:a swarm intelligence approach[J]. Transportation Planning and Technology, 2003, 26(4):289-312.
[2] ZHAO Q L, DONG X W, LIANG Z X, et al. Distributed cooperative guidance for multiple missiles with fixed and switching communication topologies[J]. Chinese Journal of Aeronautics, 2017, 30(4):1570-1581.
[3] 陈旿, 张鑫, 金鑫, 等. 一种多智能体协同信息一致性算法[J]. 航空学报, 2017, 38(12):321222. CHEN W, ZHANG X, JIN X, et al. A cooperative information consensus algorithm for multi-agent system[J]. Acta Aeronautics et Astronautica Sinica, 2017, 38(12):321222(in Chinese).
[4] KIM H, SHIM H, SEO J H. Output consensus of heterogeneous uncertain linear multi-agent systems[J]. IEEE Transactions on Automatic Control, 2010, 56(1):200-206.
[5] 周绍磊, 祁亚辉, 张雷, 等. 切换拓扑下无人机集群系统时变编队控制[J]. 航空学报, 2017, 38(4):320452. ZHOU S L, QI Y H, ZHANG L, et al. Time-varying formation control of UAV swarm systems with switching topologies[J]. Acta Aeronautics et Astronautica Sinica, 2017, 38(4):320452(in Chinese).
[6] JIANG F C, WANG L, JIA Y M. Consensus in leaderless networks of high-order-integrator agents[C]//American Control Conference,2009:4458-4463.
[7] MEI J, ZHANG H B, MA G F. Adaptive coordinated tracking for networked Euler-Lagrange systems under a directed graph[J]. Acta Automatica Sinica, 2011, 37(5):596-603.
[8] DONG X W, SHI Z Y, LU G, et al. Formation-containment analysis and design for high-order linear time-invariant swarm systems[J]. International Journal of Robust and Nonlinear Control, 2015, 25(17):3439-3456.
[9] NOTARSTEFANO G, EGERSTEDT M, HAQUE M. Containment in leader-follower networks with switching communication topologies[J]. Automatica, 2011, 47(5):1035-1040.
[10] LI J, GUAN Z H, LIAO R Q, et al. Impulsive containment control for second-order networked multi-agent systems with sampled information[J]. Nonlinear Analysis:Hybrid Systems, 2014, 12:93-103.
[11] TABUADA P. Event-triggered real-time scheduling of stabilizing control tasks[J]. IEEE Transactions on Automatic Control, 2007, 52(9):1680-1685.
[12] DIMAROGONAS D V, FRAZZOLI E, JOHANSSON K H. Distributed event-triggered control for multi-agent systems[J]. IEEE Transactions on Automatic Control, 2011, 57(5):1291-1297.
[13] FAN Y, FENG G, WANG Y, et al. Distributed event-triggered control of multi-agent systems with combinational measurements[J]. Automatica, 2013, 49(2):671-675.
[14] WANG L C, WANG Z D, HUANG T W, et al. An event-triggered approach to state estimation for a class of complex networks with mixed time delays and nonlinearities[J]. IEEE Transactions on Cybernetics, 2015, 46(11):2497-2508.
[15] HU W F, LIU L, FENG G. Output consensus of heterogeneous linear multi-agent systems by distributed event-triggered/self-triggered strategy[J]. IEEE Transactions on Cybernetics, 2016, 47(8):1914-1924.
[16] MOLIN A, HIRCHE S. Suboptimal event-triggered control for networked control systems[J]. ZAMM-Journal of Applied Mathematics and Mechanics, 2014, 94(4):277-289.
[17] WANG J, MOUNIER H, CELA A, et al. Event driven intelligent PID controllers with applications to motion control[J]. IFAC Proceedings Volumes, 2011, 44(1):10080-10085.
[18] SAHOO A, XU H, JAGANNATHAN S. Approximate optimal control of affine nonlinear continuous-time systems using event-sampled neuro-dynamic programming[J]. IEEE Transactions on Neural Networks and Learning Systems, 2016, 28(3):639-652.
[19] VAMVOUDAKIS K G, FERRAZ H. Model-free event-triggered control algorithm for continuous-time linear systems with optimal performance[J]. Automatica, 2018, 87:412-420.
[20] LIU K E, JI Z J, XIE G M, et al. Event-based broadcasting containment control for multi-agent systems under directed topology[J]. International Journal of Control, 2016, 89(11):2360-2370.
[21] LEWIS F L, ZHANG H W, HENGSTER M K, et al. Cooperative control of multi-agent systems:optimal and adaptive design approaches[M]. Springer Science & Business Media, 2013.
[22] HAGHSHENAS H, BADAMCHIZADEH M A, BARADARANNIA M. Containment control of heterogeneous linear multi-agent systems[J]. Automatica, 2015, 54:210-216.
[23] NARASIMHAN M, SINGH S N. Adaptive optimal control of an autonomous underwater vehicle in the dive plane using dorsal fins[J]. Ocean Engineering, 2006, 33(3-4):404-416.
Outlines

/