scholarly journals A Novel Consensus Protocol for Two-Dimension First-Order Multiagent Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Yibo Zhang ◽  
Jinfeng Gao ◽  
Jia Ren
Keyword(s):  
Multiagent Systems ◽  
Convergence Speed ◽  
Consensus Protocol ◽  
Numerical Examples ◽  
Two Dimension ◽  
First Order

A novel consensus protocol for two-dimension first-order multiagent systems (MAS) is proposed. After a novel protocol for two-dimension first-order MAS is adopted; consensus and two kinds of possible results are concerned. Then consensus asymptotical conditions and ranges of key parameters are given, and convergence speed is analyzed. Numerical examples illustrate effectiveness of the proposed consensus protocol.

scholarly journals Adaptive Guaranteed-Performance Consensus Control for Multi-Agent Systems with an Adjustable Convergence Speed

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Haiying Ma ◽  
Xiao Jia ◽  
Ning Cai ◽  
Jianxiang Xi
Keyword(s):  
Multiagent Systems ◽  
Sufficient Conditions ◽  
Convergence Speed ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Consensus Control ◽  
Control Gain ◽  
Multi Agent ◽  
The Stability ◽  
Theoretical Results

In this paper, adaptive guaranteed-performance consensus control problems for multiagent systems with an adjustable convergence speed are investigated. A novel adaptive guaranteed-performance consensus protocol is proposed, where the communication weights can be adaptively regulated. By the state space decomposition method and the stability theory, sufficient conditions for guaranteed-performance consensus are obtained and the guaranteed-performance cost is determined. Moreover, the lower bound of the convergence coefficient for multiagent systems is deduced, which is linearly adjustable approximately by changing the adaptive control gain. Finally, simulation examples are introduced to demonstrate theoretical results.

scholarly journals On the Observability of Leader-Based Multiagent Systems with Fixed Topology

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Bo Liu ◽  
Ningsheng Xu ◽  
Housheng Su ◽  
Licheng Wu ◽  
Jiahui Bai
Keyword(s):  
Multiagent Systems ◽  
Second Order ◽  
High Order ◽  
Numerical Examples ◽  
First Order ◽  
Leader Following ◽  
Fixed Topology ◽  
Agreement Protocols ◽  
Theoretical Results ◽  
Double Integrator

This paper investigates the observability of first-order, second-order, and high-order leader-based multiagent systems (MASs) with fixed topology, respectively. Some new algebraic and graphical characterizations of the observability for the first-order MASs are established based on agreement protocols. Moreover, under the same leader-following framework with the predefined topology and leader assignment, the observability conditions for systems of double-integrator and high-integrator agents are also obtained. Finally, the effectiveness of the theoretical results is verified by numerical examples and simulations.

scholarly journals Fast Consensus of Networked Multiagent Systems with Two-Hop Network

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Jinfeng Gao ◽  
Bin Bu ◽  
Lihui Feng ◽  
Minming Gu
Keyword(s):  
Distributed Control ◽  
Multiagent Systems ◽  
Large Scale ◽  
The State ◽  
Convergence Speed ◽  
Consensus Protocol ◽  
Large Scale Systems ◽  
Numerical Example ◽  
Communication Topology ◽  
Networked Multiagent Systems

This paper studies the consensus convergence speed of multiagent systems (MASs) from two aspects including communication topology and the state of agents. Two-hop network is considered in the communication topology. A novel consensus protocol that includes the information of the states motions and their integrals is introduced. And the protocol has much faster convergence speed by choosing some appropriate weight values. The protocol can be applied to distributed control and large-scale systems. A numerical example is presented to illustrate the effectiveness and superiority of the proposed method.

Admissible consensus of uncertain fractional-order singular multiagent systems with actuator fault

2020 ◽  
pp. 107754632092572
Author(s):  
Xuefeng Zhang ◽  
Jia Dong
Keyword(s):  
Multiagent Systems ◽  
Fractional Order ◽  
Uncertain Systems ◽  
State Feedback ◽  
Feedback Controller ◽  
Actuator Fault ◽  
Fractional Order Systems ◽  
Consensus Protocol ◽  
Numerical Examples ◽  
Output Information

Consensus of fractional-order singular multiagent systems is considered in this article. The model of uncertain systems with actuator fault is established, and its admissible consensus in the field of fractional-order systems is studied. First, the uncertain singular multiagent systems with actuator fault are proposed. Then, a state feedback controller and a state consensus protocol with an observer based on output information are designed. Then, new consensus criteria of uncertain fractional-order singular multiagent systems are proposed. Finally, for the sake of demonstrating the validity of proposed results, some relevant numerical examples are provided.

scholarly journals Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Wei Qian ◽  
Lei Wang
Keyword(s):  
Nonlinear Dynamics ◽  
Multiagent Systems ◽  
Multiagent System ◽  
Symmetric Matrix ◽  
Algebraic Connectivity ◽  
Communication Graph ◽  
Consensus Protocol ◽  
Global Consensus ◽  
The Common ◽  
Analytical Result

This paper addresses the global consensus of nonlinear multiagent systems with asymmetrically coupled identical agents. By employing a Lyapunov function and graph theory, a sufficient condition is presented for the global exponential consensus of the multiagent system. The analytical result shows that, for a weakly connected communication graph, the algebraic connectivity of a redefined symmetric matrix associated with the directed graph is used to evaluate the global consensus of the multiagent system with nonlinear dynamics under the common linear consensus protocol. The presented condition is quite simple and easily verified, which can be effectively used to design consensus protocols of various weighted and directed communications. A numerical simulation is also given to show the effectiveness of the analytical result.

scholarly journals FORMULATION OF BLOCK SCHEMES WITH LINEAR MULTISTEP METHOD FOR THE APPROXIMATION OF FIRST-ORDER IVPS

2020 ◽  
Vol 4 (3) ◽  
pp. 313-322
Author(s):  
Sunday Obomeviekome Imoni ◽  
D. I. Lanlege ◽  
E. M. Atteh ◽  
J. O. Ogbondeminu
Keyword(s):  
Basis Function ◽  
Initial Value Problems ◽  
Hermite Polynomials ◽  
Multistep Method ◽  
Linear Multistep Method ◽  
Initial Value ◽  
Numerical Examples ◽  
First Order ◽  
Block Scheme ◽  
Multi Step Methods

ABSTRACT In this paper, formulation of an efficient numerical schemes for the approximation first-order initial value problems (IVPs) of ordinary differential equations (ODE) is presented. The method is a block scheme for some k-step linear multi-step methods (and) using the Hermite Polynomials a basis function. The continuous and discrete linear multi-step methods (LMM) are formulated through the technique of collocation and interpolation. Numerical examples of ODE have been examined and results obtained show that the proposed scheme can be efficient in solving initial value problems of first order ODE.

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.

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