Observer-based bipartite consensus for uncertain Markovian-jumping multi-agent systems with actuator saturation

被引:16
作者
Sakthivel, Rathinasamy [1 ]
Manickavalli, Subramanian [1 ]
Parivallal, Arumugam [2 ]
Ren, Yong [3 ]
机构
[1] Bharathiar Univ, Dept Appl Math, Coimbatore 641046, Tamil Nadu, India
[2] Anna Univ, Dept Math, Reg Campus, Coimbatore 641046, Tamil Nadu, India
[3] Anhui Normal Univ, Dept Math, Wuhu, Peoples R China
关键词
Bipartite consensus; Multi-agent systems; Markovian-jumping parameters; Actuator saturation; LEADER-FOLLOWING CONSENSUS; OUTPUT-FEEDBACK; NONLINEAR-SYSTEMS; TIME-DELAY; STABILIZATION;
D O I
10.1016/j.ejcon.2021.04.002
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 paper addresses the problem of bipartite consensus for discrete-time multi-agent systems with Markovian-jumping parameters under the influence of time-varying communication delay and actuator saturation. The main aim of this work is to propose an observer-based control protocol such that the bipartite consensus of the uncertain Markovian-jumping multi-agent system under consideration can be achieved. An undirected structurally balanced signed graph is utilized to describe the cooperative and antagonistic interaction among neighboring agents. Combining algebraic graph theory together with Lyapunov stability theory, a new set of sufficient conditions is derived by using Jensen's inequality and Abel lemma based finite sum inequality to achieve bipartite consensus. At last, a numerical example is provided with simulations to validate the effectiveness of the developed theoretical results. (c) 2021 European Control Association. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:13 / 23
页数:11
相关论文
共 29 条
[11]   Asynchronous output feedback dissipative control of Markovian jump systems with input time delay and quantized measurements [J].
Liu, Yajuan ;
Fang, Fang ;
Park, Ju H. ;
Kim, Haekyoung ;
Yi, Xiaojian .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 31 :109-122
[12]   Robust observer-based finite-time H∞ control for discrete-time singular Markovian jumping system with time delay and actuator saturation [J].
Ma, Yuechao ;
Jia, Xiaorui ;
Zhang, Qingling .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 28 :1-22
[13]   Leader-following consensus of multi-agent systems under fixed and switching topologies [J].
Ni, Wei ;
Cheng, Daizhan .
SYSTEMS & CONTROL LETTERS, 2010, 59 (3-4) :209-217
[14]   On the Bipartite Consensus for Generic Linear Multiagent Systems With Input Saturation [J].
Qin, Jiahu ;
Fu, Weiming ;
Zheng, Wei Xing ;
Gao, Huijun .
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (08) :1948-1958
[15]   Finite-time fault-tolerant control of neutral systems against actuator saturation and nonlinear actuator faults [J].
Sakthivel, R. ;
Joby, Maya ;
Wang, Chao ;
Kaviarasan, B. .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 332 :425-436
[16]   Extended passive filtering for discrete-time singular Markov jump systems with time-varying delays [J].
Shen, Hao ;
Su, Lei ;
Park, Ju H. .
SIGNAL PROCESSING, 2016, 128 :68-77
[17]   A Separated Approach to Control of Markov Jump Nonlinear Systems With General Transition Probabilities [J].
Shen, Mouquan ;
Park, Ju H. ;
Ye, Dan .
IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (09) :2010-2018
[18]   Model Reduction of Markovian Jump Systems With Uncertain Probabilities [J].
Shen, Ying ;
Wu, Zheng-Guang ;
Shi, Peng ;
Ahn, Choon Ki .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (01) :382-388
[19]   A Survey on Markovian Jump Systems: Modeling and Design [J].
Shi, Peng ;
Li, Fanbiao .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2015, 13 (01) :1-16
[20]   Consensus of Leader-Following Multiagent Systems: A Distributed Event-Triggered Impulsive Control Strategy [J].
Tan, Xuegang ;
Cao, Jinde ;
Li, Xiaodi .
IEEE TRANSACTIONS ON CYBERNETICS, 2019, 49 (03) :792-801