Time‐varying formation control of linear multiagent systems with time delays and multiplicative noises

2021 ◽  
Author(s):  
Ruru Jia ◽  
Xiaofeng Zong
Keyword(s):  
Multiagent Systems ◽  
Time Delays ◽  
Formation Control ◽  
Time Varying ◽  
Multiplicative Noises

scholarly journals Consensus Analysis of High-Order Multiagent Systems with General Topology and Asymmetric Time-Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Fangcui Jiang
Keyword(s):  
Multiagent Systems ◽  
Network Topology ◽  
Time Delays ◽  
Multiagent System ◽  
High Order ◽  
Directed Network ◽  
Time Varying ◽  
Consensus Analysis ◽  
Robust Consensus ◽  
Selection Of

This paper focuses on the consensus problem for high-order multiagent systems (MAS) with directed network and asymmetric time-varying time-delays. It is proved that the high-order multiagent system can reach consensus when the network topology contains a spanning tree and time-delay is bounded. The main contribution of this paper is that a Lyapunov-like design framework for the explicit selection of protocol parameters is provided. The Lyapunov-like design guarantees the robust consensus of the high-order multiagent system with respect to asymmetric time-delays and is independent of the exact knowledge of the topology when the communication linkages among agents are undirected and connected.

scholarly journals Energy-Limited Time-Varying Formation Control for Second-Order Multiagent Systems

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Wanzhen Quan ◽  
Yulong Zhao ◽  
Le Wang ◽  
Xiaogang Yang
Keyword(s):  
Control Problem ◽  
Total Energy ◽  
Multiagent Systems ◽  
Formation Control ◽  
Orthogonal Transformation ◽  
Second Order ◽  
Time Varying ◽  
Limited Time ◽  
Leader Following ◽  
Energy Limitation

The energy-limited time-varying formation (ETVF) control problem of second-order multiagent systems (MAS) is addressed for both leaderless and leader-following communication topologies in this paper. Different from the previous results, the joint consideration of energy limitation and formation design is more challenging and practical. First, an ETVF control protocol is presented, and the total energy supply is pregiven and limited, which is more common in practical applications. Then, by an orthogonal transformation, the formation control problem is converted into the consensus stabilization problem for second-order leaderless MAS, where sufficient conditions for the ETVF are derived by joint design of control gains and the total energy. At the same time, the explicit formula that forms the formation center function is obtained to depict the macroscopic movement of the multiagent system as a whole. Moreover, the proposed method is also extended to the leader-following communication structure. Finally, two examples are given to verify the effectiveness of our theoretical results.

scholarly journals Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Xiaorong Zhang ◽  
Min Shi
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Fractional Order ◽  
Time Delays ◽  
Constant Time Delay ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Theoretical Results

The consensus problem for a class of fractional-order nonlinear multiagent systems with a distributed protocol containing input time delay is investigated in this paper. Consider both cases of constant time delay and time-varying delay, the delay-independent consensus conditions are obtained to achieve the consensus of the systems, respectively, by adopting the linear matrix inequality (LMI) methods and stability theory of fractional-order systems. As illustrated by the numerical examples, the proposed theoretical results work well and accurately.

scholarly journals Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yurong Liu ◽  
Hamid Reza Karimi ◽  
Xiaohui Liu
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Analytical Techniques ◽  
Time Varying ◽  
Mean Square ◽  
Distributed Consensus ◽  
Communication Links ◽  
Leader Following

This paper is concerned with the leader-following consensus problem in mean-square for a class of discrete-time multiagent systems. The multiagent systems under consideration are the directed and contain arbitrary discrete time-delays. The communication links are assumed to be time-varying and stochastic. It is also assumed that some agents in the network are well informed and act as leaders, and the others are followers. By introducing novel Lyapunov functionals and employing some new analytical techniques, sufficient conditions are derived to guarantee the leader-following consensus in mean-square for the concerned multiagent systems, so that all the agents are steered to an anticipated state target. A numerical example is presented to illustrate the main results.

scholarly journals Formation Control of Second-Order Multiagent Systems with Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Hong Xia ◽  
Ting-Zhu Huang ◽  
Jin-Liang Shao ◽  
Jun-Yan Yu
Keyword(s):  
Control Problem ◽  
Multiagent Systems ◽  
Formation Control ◽  
Second Order ◽  
Sufficient Condition ◽  
Time Varying ◽  
Consensus Protocol ◽  
Leader Following ◽  
Multiple Leaders ◽  
Theoretical Results

A formation control problem for second-order multiagent systems with time-varying delays is considered. First, a leader-following consensus protocol is proposed for theoretical preparation. With the help of Lyapunov-Krasovskii functional, a sufficient condition under this protocol is derived for stability of the multiagent systems. Then, the protocol is extended to the formation control based on a multiple leaders’ architecture. It is shown that the agents will attain the expected formation. Finally, some simulations are provided to demonstrate the effectiveness of our theoretical results.

Sign in / Sign up

Export Citation Format

Share Document