Containment Control for Upper-Triangular Nonlinear Multi-Agent Systems Perturbed by Second-Order Moment Processes

This paper considers the containment control with multiple leaders for a class of upper-triangular nonlinear multi-agent systems (MASs) perturbed by second-order moment processes. Firstly, we design the distributed controllers for the nominal system of the MASs with multiple leaders. Then, by the lo...

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Bibliographic Details
Main Authors: Xiyang Bao, Hui Wang, Wuquan Li
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9335624/
Description
Summary:This paper considers the containment control with multiple leaders for a class of upper-triangular nonlinear multi-agent systems (MASs) perturbed by second-order moment processes. Firstly, we design the distributed controllers for the nominal system of the MASs with multiple leaders. Then, by the low-gain homogeneous domination technique and the stochastic analysis tools, we design a low-gain parameter, choose an appropriate Lyapunov function and prove that the output tracking errors can achieve mean square bounded and all the states of the closed-loop system are bounded in probability. After that, this paper gives an example to demonstrate the effectiveness of the tracking controllers. In addition, this paper gives a simulation example that the dynamics of the system does not satisfy the description of the MASs studied in this paper, but our method is still valid to deal with it.
ISSN:2169-3536