Cooperative Adaptive Control for Consensus of Leader-Following General Linear Multi-Agent Systems in Directed Communication Topology

2018 ◽  
Author(s):  
Benkai Li ◽  
Qinglai Wei ◽  
Derong Liu
Keyword(s):  
Adaptive Control ◽  
General Linear ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Communication Topology ◽  
Leader Following ◽  
Multi Agent

Leader-Following Consensus Control of General Linear Multi-Agent Systems With Diverse Time-Varying Input Delays

2017 ◽  
Vol 140 (6) ◽  
Author(s):  
Chengzhi Yuan
Keyword(s):  
Single Agent ◽  
General Linear ◽  
Control Synthesis ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Consensus Control ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Input Delays

This paper addresses the problem of leader-following consensus control of general linear multi-agent systems (MASs) with diverse time-varying input delays under the integral quadratic constraint (IQC) framework. A novel exact-memory distributed output-feedback delay controller structure is proposed, which utilizes not only relative estimation state information from neighboring agents but also local real-time information of time delays and the associated dynamic IQC-induced states from the agent itself for feedback control. As a result, the distributed consensus problem can be decomposed into H∞ stabilization subproblems for a set of independent linear fractional transformation (LFT) systems, whose dimensions are equal to that of a single agent plant plus the associated local IQC dynamics. New delay control synthesis conditions for each subproblem are fully characterized as linear matrix inequalities (LMIs). A numerical example is used to demonstrate the proposed approach.

scholarly journals Group multiple lags consensus of fractional-order nonlinear leader-following multi-agent systems via adaptive control

2018 ◽  
Vol 41 (5) ◽  
pp. 1313-1322 ◽  
Author(s):  
Yunlong Zhang ◽  
Guoguang Wen ◽  
Zhaoxia Peng ◽  
Yongguang Yu ◽  
Ahmed Rahmani
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Sufficient Conditions ◽  
Multi Agent Systems ◽  
Group Leaders ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Control Protocols ◽  
Multiple Lags

In this paper, group multiple lags consensus of fractional-order leader-following multi-agent systems with nonlinear dynamics are investigated, in which two kinds of lag consensus are considered. One is said to be outergroup lag consensus, which means that different group leaders reach lag consensus. The other one is called innergroup lag consensus, that is to say, the followers will reach lag consensus with their own group leader. Based on Mittag–Leffler stability for fractional-order systems, algebraic graph theory, a class of novel control protocols is designed and the corresponding sufficient conditions are derived to guarantee the achievement of group multiple lags consensus. Furthermore, considering parametric uncertainties, an adaptive control technology is employed to solve the group multiple lags consensus for fractional order multi-agent systems, and the corresponding adaptive control protocols and sufficient conditions are proposed. Finally, numerical simulations are given to demonstrate the effectiveness of the obtained results.

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