Distributed Optimal Consensus Control of Multiagent Systems Involving State and Control Dependent Multiplicative Noise

被引：4

作者：

Jin, Nana ^{[1
]}

Xu, Juanjuan ^{[2
]}

Zhang, Huanshui ^{[3
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Ito stochastic system; multiagent systems; optimal consensus control; parameterized generalized algebraic Riccati equation; SUFFICIENT CONDITIONS; COMMUNICATION;

D O I：

10.1109/TAC.2023.3246422

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article aims to solve the multiobjective optimization control problem by investigating the consensus problem of multiagent simultaneous optimization with state and control dependent multiplicative noise. The main contributions of this work are two-fold. First, the optimal consensus control problem is solved by designing the free item of an optimal controller, and the coefficient of the feedback gain is obtained based on analyzing a parameterized generalized algebraic Riccati equation. Second, we derive a new consensus controller that comprises two parts different from the current consensus. One part minimizes a linear quadratic index with a singular control weighting matrix, and the other affords the multiagent systems to achieve mean square consensus.

引用

页码：7787 / 7794

页数：8

共 50 条

[41] Nearly Optimal Consensus Control of Discrete Time Multiagent Systems with Time Delays
Zhang, Yao
Mu, Chaoxu
Zhao, Qian
Wang, Ke
[J]. 2019 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (IEEE SSCI 2019), 2019, : 72 - 77
[42] GrHDP Solution for Optimal Consensus Control of Multiagent Discrete-Time Systems
Zhong, Xiangnan
He, Haibo
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (07): : 2362 - 2374
[43] Optimal Consensus Control for Heterogeneous Nonlinear Multiagent Systems with Partially Unknown Dynamics
Wang, Tao
Fu, Hao
Li, Jinbin
Zhang, Yaodong
Zhou, Xinfeng
Chen, Xin
[J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (09) : 2400 - 2413
[44] Inverse-Optimal Consensus Control of Fractional-Order Multiagent Systems
An, Chunlan
Su, Housheng
Chen, Shiming
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (08): : 5320 - 5331
[45] Distributed Adaptive Neural Consensus Control for Stochastic Nonlinear Multiagent Systems with Whole State Delays and Multiple Constraints
Tao, Yukun
Yang, Feifei
He, Ping
Li, Congshan
Ji, Yuqi
[J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2020, 18 (09) : 2398 - 2410
[46] Maximum Hands-Off Distributed Control for Consensus of Multiagent Systems with Sampled-Data State Observation
Ikeda, Takuya
Nagahara, Masaaki
Kashima, Kenji
[J]. IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2019, 6 (02): : 852 - 862
[47] Distributed Adaptive Neural Consensus Control for Stochastic Nonlinear Multiagent Systems with Whole State Delays and Multiple Constraints
Yukun Tao
Feifei Yang
Ping He
Congshan Li
Yuqi Ji
[J]. International Journal of Control, Automation and Systems, 2020, 18 : 2398 - 2410
[48] Distributed Cooperative Optimal Control for Multiagent Systems on Directed Graphs: An Inverse Optimal Approach
Zhang, Huaguang
Feng, Tao
Yang, Guang-Hong
Liang, Hongjing
[J]. IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (07) : 1315 - 1326
[49] Stochastic Receding Horizon Control of Constrained Linear Systems With State and Control Multiplicative Noise
Primbs, James A.
Sung, Chang Hwan
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) : 221 - 230
[50] Stochastic receding horizon control of constrained linear systems with state and control multiplicative noise
Primbs, James A.
[J]. 2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 585 - 590

← 1 2 3 4 5 →