scholarly journals Distributed robust H∞ composite-rotating consensus of second-order multi-agent systems

2017 ◽  
Vol 13 (7) ◽  
pp. 155014771772251 ◽  
Author(s):  
Weizheng Huang ◽  
Wenfeng Zheng ◽  
Lipo Mo
Keyword(s):  
Distributed Control ◽  
Control Algorithm ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Second Order ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Distributed Control Algorithm ◽  
Theoretical Results

In this article, the distributed [Formula: see text] composite-rotating consensus problem is concerned for a class of second-order multi-agent systems. First, based on local state feedback and communication feedback, a distributed control algorithm is proposed. Then, sufficient conditions are derived in order to make all agents reach a composite-rotating consensus with the desired [Formula: see text] performance. Finally, the simulations are given to show the effectiveness of the theoretical results.

Formation-containment control of sampled-data second-order multi-agent systems with sampling delay

2018 ◽  
Vol 40 (16) ◽  
pp. 4369-4381 ◽  
Author(s):  
Baojie Zheng ◽  
Xiaowu Mu
Keyword(s):  
Matrix Theory ◽  
Sufficient Conditions ◽  
Second Order ◽  
Control Problems ◽  
Sampled Data ◽  
Multi Agent Systems ◽  
Containment Control ◽  
Agent Systems ◽  
Multi Agent ◽  
Theoretical Results

The formation-containment control problems of sampled-data second-order multi-agent systems with sampling delay are studied. In this paper, we assume that there exist interactions among leaders and that the leader’s neighbours are only leaders. Firstly, two different control protocols with sampling delay are presented for followers and leaders, respectively. Then, by utilizing the algebraic graph theory and matrix theory, several sufficient conditions are obtained to ensure that the leaders achieve a desired formation and that the states of the followers converge to the convex hull formed by the states of the leaders, i.e. the multi-agent systems achieve formation containment. Furthermore, an explicit expression of the formation position function is derived for each leader. An algorithm is provided to design the gain parameters in the protocols. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.

Sampled intermittent control for consensus of multi-agent systems with variable activated intervals

2017 ◽  
Vol 40 (5) ◽  
pp. 1521-1528
Author(s):  
Yan Wang ◽  
Hong Zhou ◽  
Zhi-Wei Liu ◽  
Wenshan Hu ◽  
Wei Wang
Keyword(s):  
Sufficient Conditions ◽  
Nonnegative Matrix ◽  
Switching Topology ◽  
Intermittent Control ◽  
Multi Agent Systems ◽  
Time Intervals ◽  
Agent Systems ◽  
Multi Agent ◽  
Velocity Information ◽  
Theoretical Results

In this paper, a new kind of intermittent control is proposed to study consensus problems of multi-agent systems with second-order dynamics. In particular, we consider the case that the information transmission occurs at sampling instants and the velocity information is not available for feedback. The proposed control only regulates the velocity of agents in a given sequence of disconnected time intervals, called activated intervals, after sampling instants. Remarkably, both the sampling and activated intervals are not required to be identical. By adopting algebraic graph theory and nonnegative matrix, some sufficient conditions are obtained for guaranteeing the consensus of the multi-agent systems under the switching topology. Finally, the numerical examples are included to illustrate the theoretical results.

Bounded consensus tracking control of second-order multi-agent systems with active leader and jointly connected topology

2016 ◽  
Vol 40 (2) ◽  
pp. 504-513 ◽  
Author(s):  
Lei Chen ◽  
Kaiyu Qin ◽  
Jiangping Hu
Keyword(s):  
Tracking Control ◽  
Sufficient Conditions ◽  
Interaction Network ◽  
Second Order ◽  
Multi Agent System ◽  
Multi Agent Systems ◽  
Agent System ◽  
Agent Systems ◽  
Strongly Connected ◽  
Multi Agent

In this paper, we investigate a tracking control problem for second-order multi-agent systems. Here, the leader is self-active and cannot be completely measured by all the followers. The interaction network associated with the leader–follower multi-agent system is described by a jointly connected topology, where the topology switches over time and is not strongly connected during each time subinterval. We consider a consensus control of the multi-agent system with or without time delay and propose two categories of neighbour-based control rules for every agent to track the leader, then provide sufficient conditions to ensure that all agents follow the leader, and meanwhile, the tracking errors can be estimated. Finally, some simulation results are presented to demonstrate our theoretical results.

Couple-group consensus for second-order multi-agent systems with the effect of second-order neighbours’ information

2017 ◽  
Vol 40 (5) ◽  
pp. 1726-1737 ◽  
Author(s):  
Yulan Gao ◽  
Junyan Yu ◽  
Mei Yu ◽  
Yue Xiao ◽  
Jinliang Shao
Keyword(s):  
Time Delays ◽  
Model Transformation ◽  
Second Order ◽  
Linear Matrix ◽  
Group Consensus ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
The Impact ◽  
Theoretical Results

This paper investigates a couple-group consensus problem of second-order multi-agent systems with the impact of second-order neighbours’ information. For systems with/without time delays, couple-group consensus criteria are established in the form of linear matrix inequalities by utilizing both model transformation and stability theories. The main results indicate that the group consensus for multi-agent systems under the effect of second-order neighbours’ information can be achieved based on the premise of a generalized balanced couple. Finally, illustrative examples are presented to demonstrate the effectiveness of the theoretical results.

Finite-time consensus of second-order nonlinear multi-agent systems with impulsive effects

2020 ◽  
Vol 34 (35) ◽  
pp. 2050406
Author(s):  
Yuan Tian ◽  
Chuandong Li
Keyword(s):  
Finite Time ◽  
Lyapunov Stability Theory ◽  
Second Order ◽  
Impulsive Effects ◽  
Multi Agent Systems ◽  
Sign Function ◽  
Agent Systems ◽  
Multi Agent ◽  
Conservative Estimation ◽  
Theoretical Results

This paper addresses finite-time consensus of second-order nonlinear multi-agent systems with impulsive effects. A control protocol contains neighborhood and self state feedback without sign function is proposed for finite-time consensus. By employing Lyapunov stability theory, a new less conservative estimation of energy function is obtained, by solving which, it gets both finite-time consensus and exponential consensus criteria with or without impulsive effects. Moreover, three impulsive types: stability, divergence and no effects, are divided based on strengths of impulse and controller. Examples are provided to demonstrate the correctness of theoretical results and the effectiveness of the finite-time protocol.

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