scholarly journals A New Algorithm for Distributed Control Problem with Shortest-Distance Constraints

2016 ◽  
Vol 2016 ◽  
pp. 1-6
Author(s):  
Yu Zhou ◽  
Wenfeng Zheng ◽  
Zhixi Shen
Keyword(s):  
Distributed Control ◽  
Multiagent Systems ◽  
Local Information ◽  
Common Point ◽  
Consensus Algorithm ◽  
Time Dynamics ◽  
Shortest Distance ◽  
Distributed Control Problem ◽  
Distance Problem ◽  
Theoretical Results

This paper investigates the distributed shortest-distance problem of multiagent systems where agents satisfy the same continuous-time dynamics. The objective of multiagent systems is to find a common point for all agents to minimize the sum of the distances from each agent to its corresponding convex region. A distributed consensus algorithm is proposed based on local information. A sufficient condition also is given to guarantee the consensus. The simulation example shows that the distributed shortest-distance consensus algorithm is effective for our theoretical results.

scholarly journals Leader-Follower Fixed-Time Group Consensus Control of Multiagent Systems under Directed Topology

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Yilun Shang ◽  
Yamei Ye
Keyword(s):  
Distributed Control ◽  
Multiagent Systems ◽  
Initial Conditions ◽  
Fixed Time ◽  
Local Information ◽  
Convergence Time ◽  
Group Consensus ◽  
Consensus Control ◽  
Directed Topology ◽  
Theoretical Results

This paper investigates the fixed-time group consensus problem for a leader-follower network of integrators with directed topology. A nonlinear distributed control protocol, based on local information, is proposed such that the follower agents in each subgroup are able to track their corresponding leaders in a prescribed convergence time regardless of the initial conditions. Simulation examples are presented to demonstrate the availability of our theoretical results.

scholarly journals Consensus of Heterogeneous Multiagent Systems with Switching Dynamics

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Wenshuai Wang ◽  
Juling Wang ◽  
Huaizhu Wang ◽  
Yuanshi Zheng
Keyword(s):  
Multiagent Systems ◽  
Spanning Tree ◽  
Matrix Theory ◽  
Nonnegative Matrix ◽  
Time Dynamics ◽  
Switching Dynamics ◽  
Directed Spanning Tree ◽  
Interaction Topology ◽  
Theoretical Results ◽  
Double Integrator

Heterogeneity is an important feature of multiagent systems. This paper addresses the consensus problem of heterogeneous multiagent systems composed of first-integrator and double-integrator agents. The dynamics of each agent switches between continuous-time and discrete-time dynamics. By using the graph theory and nonnegative matrix theory, we derive that the system can achieve consensus if and only if the fixed interaction topology has a directed spanning tree. For switching topologies, we get that the system can reach consensus if each interaction topology has a directed spanning tree. Simulation examples are provided to demonstrate the effectiveness of our theoretical results.

scholarly journals A Nonlinear Consensus Protocol of Multiagent Systems Considering Measuring Errors

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Xiaochu Wang ◽  
Kaichun Zhao ◽  
Zheng You ◽  
Lungui Zheng
Keyword(s):  
Multiagent Systems ◽  
Energy Cost ◽  
Additional Condition ◽  
Consensus Protocol ◽  
Communication Topology ◽  
Measurement Uncertainties ◽  
Theoretical Analyses ◽  
Theoretical Results

In order to avoid a potential waste of energy during consensus controls in the case where there exist measurement uncertainties, a nonlinear protocol is proposed for multiagent systems under a fixed connected undirected communication topology and extended to both the cases with full and partial access a reference. Distributed estimators are utilized to help all agents agree on the understandings of the reference, even though there may be some agents which cannot access to the reference directly. An additional condition is also considered, where self-known configuration offsets are desired. Theoretical analyses of stability are given. Finally, simulations are performed, and results show that the proposed protocols can lead agents to achieve loose consensus and work effectively with less energy cost to keep the formation, which have illustrated the theoretical results.

Stabilization of Large-Scale Fuzzy Interconnected System

2017 ◽  
pp. 34-83
Keyword(s):  
Distributed Control ◽  
Output Feedback ◽  
System Approach ◽  
Large Scale ◽  
State Feedback ◽  
Controller Design ◽  
Singular System ◽  
Interconnected System ◽  
Distributed Control Problem ◽  
Static Output

The chapter addresses the stabilization problem for large-scale fuzzy interconnected systems. Our aim is to present the design results on both the state feedback and static-output feedback (SOF) stabilizing fuzzy controllers. Firstly, by using some bounding techniques, the reduced number of LMIs to the decentralized state feedback controller design will be derived. Then, by using some matrix transformation techniques and singular system approach, we will also derive some design results on decentralized SOF control in terms of LMIs. Moreover, the proposed design results on the decentralized control will be extended to address the distributed control problem. Finally, several examples are given to illustrate the use of corresponding results.

Large-time dynamics in complex networks of reaction–diffusion systems applied to a panic model

2019 ◽  
Vol 84 (5) ◽  
pp. 974-1000
Author(s):  
Guillaume Cantin ◽  
M A Aziz-Alaoui ◽  
Nathalie Verdière
Keyword(s):  
Large Time ◽  
Sufficient Conditions ◽  
Reaction Diffusion ◽  
Energy Estimates ◽  
Invariant Region ◽  
Exponential Attractors ◽  
Reaction Diffusion Systems ◽  
Time Dynamics ◽  
Diffusion Systems ◽  
Theoretical Results

Abstract This paper is devoted to the analysis of the asymptotic behaviour of a complex network of reaction–diffusion systems for a geographical model, which was proposed recently, in order to better understand behavioural reactions of individuals facing a catastrophic event. After stating sufficient conditions for the problem to admit a positively invariant region, we establish energy estimates and prove the existence of a family of exponential attractors. We explore the influence of the size of the network on the nature of those attractors, in correspondence with the geographical background. Numerical simulations illustrate our theoretical results and show the various possible dynamics of the problem.

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