Distributed Model Predictive Control for Linear-Quadratic Performance and Consensus State Optimization of Multiagent Systems

被引:46
作者
Wang, Qishao [1 ]
Duan, Zhisheng [2 ]
Lv, Yuezu [3 ]
Wang, Qingyun [1 ]
Chen, Guanrong [4 ]
机构
[1] Beihang Univ, Dept Dynam & Control, Beijing 100191, Peoples R China
[2] Peking Univ, Coll Engn, Beijing 100871, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[4] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
Multi-agent systems; Optimization; Prediction algorithms; Predictive control; Performance analysis; Transient response; Transient analysis; Asynchronous sampling; distributed optimization; model predictive control (MPC); multiagent systems; TIME CONVEX-OPTIMIZATION; CONSTRAINTS; ALGORITHMS;
D O I
10.1109/TCYB.2020.3001347
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The optimal consensus problem of asynchronous sampling single-integrator and double-integrator multiagent systems is solved by distributed model predictive control (MPC) algorithms proposed in this article. In each predictive horizon, the finite-time linear-quadratic performance is minimized distributively by the control input with consensus state optimization. The MPC technique is then utilized to extend the optimal control sequence to the case of an infinite horizon. Conditions depending only on each agent's weighting scalar and sampling step are derived to guarantee the stability of the closed-loop system. Numerical examples of rendezvous control of multirobot systems illustrate the efficiency of the proposed algorithm.
引用
收藏
页码:2905 / 2915
页数:11
相关论文
共 38 条
[1]   An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination [J].
Cao, Yongcan ;
Yu, Wenwu ;
Ren, Wei ;
Chen, Guanrong .
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2013, 9 (01) :427-438
[2]   Reinforcement Learning-Based Adaptive Optimal Exponential Tracking Control of Linear Systems With Unknown Dynamics [J].
Chen, Ci ;
Modares, Hamidreza ;
Xie, Kan ;
Lewis, Frank L. ;
Wan, Yan ;
Xie, Shengli .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (11) :4423-4438
[3]  
Diestel R., 1997, GRAPH THEORY
[4]   A sub-optimal consensus design for multi-agent systems based on hierarchical LQR [J].
Dinh Hoa Nguyen .
AUTOMATICA, 2015, 55 :88-94
[5]   Distributed Formation Control of Multiple Quadrotor Aircraft Based on Nonsmooth Consensus Algorithms [J].
Du, Haibo ;
Zhu, Wenwu ;
Wen, Guanghui ;
Duan, Zhisheng ;
Lu, Jinhu .
IEEE TRANSACTIONS ON CYBERNETICS, 2019, 49 (01) :342-353
[6]   Distributed Finite-Horizon Extended Kalman Filtering for Uncertain Nonlinear Systems [J].
Duan, Peihu ;
Duan, Zhisheng ;
Lv, Yuezu ;
Chen, Guanrong .
IEEE TRANSACTIONS ON CYBERNETICS, 2021, 51 (02) :512-520
[7]   Model Predictive Control Schemes for Consensus in Multi-Agent Systems with Single- and Double-Integrator Dynamics [J].
Ferrari-Trecate, Giancarlo ;
Galbusera, Luca ;
Marciandi, Marco Pietro Enrico ;
Scattolini, Riccardo .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (11) :2560-2572
[8]   Consensus of Second-Order Multiagent Systems With Both Velocity and Input Constraints [J].
Fu, Junjie ;
Wen, Guanghui ;
Yu, Wenwu ;
Huang, Tingwen ;
Yu, Xinghuo .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2019, 66 (10) :7946-7955
[9]   Distributed model predictive control for consensus of nonlinear second-order multi-agent systems [J].
Gao, Yulong ;
Dai, Li ;
Xia, Yuanqing ;
Liu, Yuwei .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (05) :830-842
[10]   Distributed Continuous-Time Convex Optimization on Weight-Balanced Digraphs [J].
Gharesifard, Bahman ;
Cortes, Jorge .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (03) :781-786