scholarly journals Construction of Adaptive Consensus Gains for Multiagent Systems with Multiplicative Noise

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Shoubo Jin ◽  
Qiuju Yu
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Directed Graph ◽  
Multiplicative Noise ◽  
Communication Delay ◽  
Mean Square ◽  
Inaccurate Information ◽  
Leader Following ◽  
The Mean ◽  
Mean Square Consensus

The leader-following consensus of linear multiagent systems with multiplicative noise and adaptive gains is investigated under the fixed directed graph. Because of multiplicative noise, the agents interacting with the leader can only obtain the inaccurate information. Firstly, this paper designs the adaptive gains of multiagent systems, which can converge to some fixed values and force the states to synchronize. Different from the mandatory gains, the adaptive gains depend on the states of agents and can be adjusted with the change of states. Secondly, it is shown that the multiagent systems without time delay can obtain mean square consensus under the adaptive gains. Moreover, in the presence of multiplicative noise and communication delay, the mean square consensus is also acquired in the same adaptive gains. Finally, the validity of the conclusion is simulated by an example.

scholarly journals Consensus Learning Control for Leader-Following Nonlinear Multiagent Systems with Control Delay

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Xiongfeng Deng ◽  
Xiuxia Sun ◽  
Shuguang Liu
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Iterative Learning Control ◽  
Learning Control ◽  
Control Delay ◽  
Consensus Tracking ◽  
Control Scheme ◽  
Communication Topology ◽  
Leader Following ◽  
Theoretical Results

In this paper, the consensus tracking problem of leader-following nonlinear control time-delay multiagent systems with directed communication topology is addressed. An improved high-order iterative learning control scheme with time-delay is proposed, where the local information between agents is considered. The uniformly global Lipschitz condition is applied to deal with the nonlinear dynamics. Then, a sufficient condition is driven, which guarantees that all the following agents track the trajectory of leader. Also, the convergence of proposed control protocol is analyzed by the norm theory. Finally, two cases are provided to illustrate the validity of theoretical results.

Noise-tolerance consensus formation control for multi-robotic networks

2020 ◽  
Vol 42 (8) ◽  
pp. 1569-1581 ◽  
Author(s):  
Chuangchuang Wang ◽  
Ping He ◽  
Heng Li ◽  
Jinyu Tian ◽  
Kuiyang Wang ◽  
...  
Keyword(s):  
Formation Control ◽  
Lagrange Equation ◽  
Sufficient Conditions ◽  
Communication Delay ◽  
Linear Matrix ◽  
Mean Square ◽  
Noise Tolerance ◽  
Consensus Formation ◽  
Robotic Networks ◽  
Mean Square Consensus

This paper investigates the formation control for noise-tolerance consensus of multi-robotic networks and the mean square consensus condition. Firstly, the multi-robot model is expressed by applying a coordinate transformation based on the Euler-Lagrange equation. Compared with recent works, the control scheme presented in this work can indirectly obtain the evolution trend of position and velocity information of the robot. Besides, the noise and communication delay are involved in the formation control protocol. Secondly, the sufficient conditions of mean square consensus for formation control in multi-robotic networks with communication delay under noisy environments are obtained by using linear matrix inequality schemes. Finally, the numerical simulations are presented and submitted to demonstrate the correctness of the obtained results.

Distributed sliding mode leader-following consensus controller for uncertain time-delay linear parameter-varying multiagent systems

2020 ◽  
pp. 107754632095652
Author(s):  
Mohammad Amin Moradi ◽  
Behrouz Safarinejadian ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Leader Following ◽  
Parameter Varying ◽  
Uncertain Time ◽  
Delay Dependent

This study addresses the consensus problem of leader-following multiagent systems, whose dynamics are governed by time-delay linear parameter-varying models with norm-bounded uncertainties. At first, a delay-dependent sufficient condition concerned with the existence of a parameter-varying sliding surface is given in terms of linear matrix inequalities. Then, a robust consensus among the leader and followers is achieved via the distributed linear parameter-varying sliding mode control protocol. Conditions for closed-loop stability are also presented in the form of some theorems. Simulation results demonstrate the effectiveness of the proposed approach.

Multi-Agent Consensus Control under Markovian Switching Topology and Time-Delay

2013 ◽  
Vol 427-429 ◽  
pp. 750-754
Author(s):  
Won Il Kim ◽  
Rong Xiong ◽  
Jun Wu
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Switching Topology ◽  
Linear Matrix ◽  
Time Varying ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Mean Square Consensus

In this note, the consensus problem of linear multi-agent systems with Markovian communication topology and time-varying delay is investigated. The topology of network is switched by Markovian process and the time-delay is considered to be time-varying and has a lower and upper bounds. A sufficient condition of mean square consensus is obtained in terms of linear matrix inequalities, and based on the condition, a controller design method is presented such that the multi-agent systems reaches to mean square consensus.

scholarly journals Multiagent Consensus Control under Network-Induced Constraints

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Won Il Kim ◽  
Rong Xiong ◽  
Qiuguo Zhu ◽  
Jun Wu
Keyword(s):  
Multiagent Systems ◽  
Information Exchange ◽  
Design Procedure ◽  
Mean Square ◽  
Markov Jump ◽  
Consensus Control ◽  
Markov Jump System ◽  
System Method ◽  
Necessary And Sufficient ◽  
Mean Square Consensus

Mean consensus problem is studied using a class of discrete time multiagent systems in which information exchange is subjected to some network-induced constraints. These constraints include package dropout, time delay, and package disorder. Using Markov jump system method, the necessary and sufficient condition of mean square consensus is obtained and a design procedure is presented such that multiagent systems reach mean square consensus.

scholarly journals Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Manlika Rajchakit ◽  
Grienggrai Rajchakit
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Stochastic System ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Mean Square ◽  
Interval Time ◽  
Mean Square Exponential Stability ◽  
The Mean ◽  
Delay Dependent

This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, a switching rule for the mean square exponential stability of switched stochastic system with interval time-varying delays and new delay-dependent sufficient conditions for the mean square exponential stability of the switched stochastic system are first established in terms of LMIs. Numerical example is given to show the effectiveness of the obtained result.

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