scholarly journals Finite-Time Consensus of Networked Multiagent Systems with Time-Varying Linear Control Protocols

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Jiayan Wen ◽  
Chen Wang ◽  
Wenguang Luo ◽  
Guangming Xie
Keyword(s):  
Multiagent Systems ◽  
Finite Time ◽  
Linear Feedback ◽  
Time Varying ◽  
Communication Graph ◽  
Linear Feedback Control ◽  
First Order ◽  
Preset Time ◽  
Control Protocols ◽  
Networked Multiagent Systems

Finite-time consensus problems for networked multiagent systems with first-order/second-order dynamics are investigated in this paper. The goal of this paper is to design local information based control protocols such that the systems achieve consensus at any preset time. In order to realize this objective, a class of linear feedback control protocols with time-varying gains is introduced. We prove that the multiagent systems under such kinds of time-varying control protocols can achieve consensus at the preset time if the undirected communication graph is connected. Numerical simulations are presented to illustrate the effectiveness of the obtained theoretic results.

scholarly journals Analysis of Adaptive Synchronization for Stochastic Neutral-Type Memristive Neural Networks with Mixed Time-Varying Delays

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Desheng Hong ◽  
Zuoliang Xiong ◽  
Cuiping Yang
Keyword(s):  
Neural Networks ◽  
Feedback Control ◽  
Neutral Type ◽  
Adaptive Synchronization ◽  
Linear Feedback ◽  
Linear Matrix ◽  
Time Varying ◽  
Memristive Neural Networks ◽  
Linear Feedback Control ◽  
Stochastic Differential Inclusions

Linear feedback control and adaptive feedback control are proposed to achieve the synchronization of stochastic neutral-type memristive neural networks with mixed time-varying delays. By applying the stochastic differential inclusions theory, Lyapunov functional, and linear matrix inequalities method, we obtain some new adaptive synchronization criteria. A numerical example is given to illustrate the effectiveness of our results.

State Emulator-Based Adaptive Architectures for Resilient Networked Multiagent Systems Over Directed and Time-Varying Graphs

2015 ◽  
Author(s):  
Gerardo De La Torre ◽  
Tansel Yucelen
Keyword(s):  
Multiagent Systems ◽  
Multiagent System ◽  
Time Varying ◽  
System Behavior ◽  
Adverse Conditions ◽  
Distributed Adaptive Control ◽  
Adaptive Architectures ◽  
Exogenous Disturbances ◽  
The Stability ◽  
Networked Multiagent Systems

In this paper, we present adaptive architectures for networked multiagent systems operating over directed networks to achieve resilient coordination in the presence of disturbances. Specifically, we consider a class of unforeseen adverse conditions consisting of persistent exogenous disturbances and present a state emulator-based distributed adaptive control architecture to retrieve the nominal networked multiagent system behavior. The stability properties of the proposed architecture are analyzed using results from Lyapunov stability and matrix mathematics. Illustrative numerical examples are provided to demonstrate the theoretical findings.

A Finite-Time Consensus Framework Over Time-Varying Graph Topologies With Temporal Constraints

2017 ◽  
Vol 139 (7) ◽  
Author(s):  
Zhen Kan ◽  
Tansel Yucelen ◽  
Emily Doucette ◽  
Eduardo Pasiliao
Keyword(s):  
Multiagent Systems ◽  
Finite Time ◽  
Information Exchange ◽  
Multiagent System ◽  
Initial Conditions ◽  
Time Frame ◽  
Time Instant ◽  
Global Network ◽  
Time Varying ◽  
Temporal Constraints

Finite-time consensus has attracted significant research interest due to its wide applications in multiagent systems. Various results have been developed to enable multiagent systems to complete desired tasks in finite-time. However, most existing results in the literature can only ensure finite-time consensus without considering temporal constraints, where the time used to achieve consensus cannot be preset arbitrarily and is generally determined by the system initial conditions, prohibiting its application in time-sensitive tasks. Motivated to achieve consensus within a desired time frame, user-specified finite-time consensus is developed in the present work for a multiagent system to ensure consensus at a prespecified time instant. The interaction among agents (e.g., communication and information exchange) is modeled as a time-varying graph, where each edge is associated with a time-varying weight representing the time-varying interaction between neighboring agents. Consensus over such time-varying graph is then proven based on a time transformation and is guaranteed to be completed within a prespecified time frame. To demonstrate the developed framework, finite-time rendezvous of a multiagent system is considered as an example application, where agents with limited communication capabilities are desired to meet at a common location at a preset time instant with constraints on preserving global network connectivity. A numerical simulation is provided to demonstrate the efficiency of the developed result.

Finite-time distributed formation tracking control of multi-UAVs with a time-varying reference trajectory

2017 ◽  
Vol 35 (4) ◽  
pp. 1297-1318 ◽  
Author(s):  
Wei Zhao ◽  
Renfu Li ◽  
Huaipin Zhang
Keyword(s):  
Finite Time ◽  
Tracking Control ◽  
Formation Flight ◽  
Reference Trajectory ◽  
Time Varying ◽  
Consensus Control ◽  
Formation Tracking ◽  
Distributed Framework ◽  
Aerial Vehicle ◽  
Control Protocols

Abstract This article studies finite-time distributed formation tracking control of a second-order multi-unmanned aerial vehicle (UAV) system. To reduce the burden of the system’s computation and communication, a distributed framework is designed in the control of the formation configuration, in which a time-varying reference trajectory is known by the following UAVs as exogenous input that decides the UAVs moving target. Then, time-triggered and event-triggered consensus control protocols are proposed and theoretically proved to achieve the formation flight in finite time. Finally, a numerical simulation is conducted for the formation tracking control of a typical multi-UAV system to validate the effectiveness of the proposed control protocols.

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