Article
Mathematics, Interdisciplinary Applications
Youming Xin, Huiping Lyu, Huan Tuo, Zunshui Cheng
Summary: This paper considers the event-based consensus problem of third-order nonlinear multi-agent systems and proposes event-based controllers. Multi-agent systems with event-based controllers are regarded as nonlinear systems with disturbances. By a degenerate transformation, an error system is derived from multi-agent systems, and consensus for multi-agent systems is transformed into stability of the error system. Several sufficient conditions on event-based consensus are obtained based on Lyapunov theory and Kronecker product method. It is shown that multi-agent systems can achieve event-based consensus if the trigger parameter is sufficiently small and the control gain is sufficiently large under some simple conditions, and the Zeno behavior of the controllers is avoided. An example is presented to demonstrate the effectiveness of the derived results.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Automation & Control Systems
Jiaxi Chen, Junmin Li, Hongwei Jiao, Shuai Zhang
Summary: This paper investigates the globally fuzzy consensus of stochastic nonlinear multi-agent systems with hybrid-order dynamics. A new hybrid fuzzy consensus controller is designed for the followers based on the design method of fuzzy feed-forward compensator and Lyapunov stability theory. The proposed algorithm solves the consensus problem and achieves globally uniform ultimate bounded results.
Article
Mathematics, Applied
Hao Wen, Hexiong Zhou, Jian Fu, Baoheng Yao, Lian Lian
Summary: A new protocol is proposed for the consensus of multi-agent systems with high-order and nonlinearity, combining the eigenvalues of the Laplace matrix and the Lipschitz constant of the system. The convergence condition of the system is divided into two parts connected by an unknown quantity k, making the protocol more flexible.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Automation & Control Systems
Shouxu Zhang, Zhuo Zhang, Rongxin Cui, Huiping Li, Weisheng Yan
Summary: This paper studies the optimal consensus control of high-order multi-agent systems (MASs) modeled by multiple integrator-type dynamics. A fully distributed optimal control protocol is designed for MASs with linear dynamics to achieve specific consensus behavior, while removing topology-dependent conditions. Furthermore, a distributed consensus protocol is proposed for high-order nonlinear MASs with one-sided Lipschitz continuity using the optimization approach, with the optimal solution obtained by solving a standard algebraic Riccati equation. Numerical examples are provided to demonstrate the effectiveness of the presented approaches.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Hadi Mahmoodi, Khoshnam Shojaei
Summary: This paper presents a distributed control approach for fractional-order multi-agent systems, addressing unknown nonlinearities and various types of actuator faults. By integrating adaptive neural approximator and minimal learning parameter scheme to handle dynamic uncertainties, communication loads are reduced. The proposed method ensures bipartite output consensus without relying on global information or explicit fault detection mechanism.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2022)
Article
Automation & Control Systems
Jiaxi Chen, Junmin Li
Summary: This paper investigates the consensus of mixed-order unknown periodic time-vary parameterized nonlinear multi-agent systems over heterogeneous network topology. It designs a differential adaptive parameter learning law for unknown leader dynamics and bounded input disturbances, as well as a repetitive learning law for unknown periodic time-varying parameters. By utilizing Lyapunov-like stability theory and repetitive learning control method, a new repetitive learning controller is designed and a sufficient condition of consensus for the MAS is provided. Unlike existing results, this study is a fully distributed one.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2022)
Article
Computer Science, Information Systems
Peng Xiao, Zhenyu Gu
Summary: This paper explores the leader-following consensus of fractional-order nonlinear multi-agent systems and proposes an adaptive event-triggered control protocol to achieve the consensus scheme. By applying the Lyapunov stability theory and effective inequality techniques, sufficient conditions for ensuring the consensus are derived, and the proposed control method reduces communication between agents significantly. Additionally, the Zeno behavior of the event-triggered algorithm for multi-agent systems is excluded.
Article
Mathematics, Applied
Liping Chen, Xiaomin Li, YangQuan Chen, Ranchao Wu, Antonio M. Lopes, Suoliang Ge
Summary: This paper investigates the leader-follower non-fragile consensus of nonlinear fractional-order multi-agent systems with state time delay, considering structured uncertainties occurring in both the plant and the controller for the first time. A delay- and order-dependent protocol is developed using linear matrix inequality approach and the FO Razumikhin theorem to guarantee consensus with uncertain parameters. New sufficient conditions for the leader-follower non-fragile consensus of FO linear multi-agent systems are provided, with the protocol's feasibility and effectiveness demonstrated through numerical examples. The proposed approach exhibits good robustness and can be extended to various consensus problems.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Physics, Multidisciplinary
Wenjun Hu, Wen Zhang, Zhongjun Ma, Kezan Li
Summary: This paper investigates the problem of partial component consensus in second-order and third-order nonlinear multi-agent systems. Concepts and results related to partial component consensus are given through partial component stability theory and pinning control protocol. Numerical simulations are conducted to verify the theoretical results.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Computer Science, Interdisciplinary Applications
Hui Leng, Zhaoyan Wu, Yi Zhao
Summary: This paper investigates group consensus of second-order multi-agent systems with nonlinear dynamics. Distributed protocols are designed to enhance interactions among agents and edge-based protocols are designed to consider differences among agents. The effectiveness of the protocols is proved analytically and verified through numerical illustrations.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2021)
Article
Automation & Control Systems
Jian Sun, Chen Guo, Lei Liu, Qihe Shan
Summary: This article addresses the adaptive consensus control problem for second-order nonlinear multi-agent systems under intermittent communications. The novel event-dependent intermittent communication scheme named Sun's intermittent communication scheme is proposed, in which the work time and the rest time can be changed according to the current states. By developing a distributed adaptive protocol based on state estimates of neighboring agents, the overall consensus is achieved under the event-dependent intermittent communication. The proposed scheme can tolerate a larger intermittent rate compared to existing schemes.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Yuqian Yang, Qingwen Qi, Jingyao Hu, Jiashu Dai, Chengdong Yang
Summary: This paper mainly studies fault-tolerant control for a class of semi-linear fractional-order multi-agent systems with diffusion characteristics. The adaptive mechanism allows online adjustment of coupling gain, and the use of Lyapunov stability theory achieves consensus for the agents. Simulation experiments demonstrate the effectiveness of the proposed theory.
FRACTAL AND FRACTIONAL
(2023)
Article
Automation & Control Systems
Sabyasachi Bhattacharyya, Sourav Patra
Summary: This paper introduces the positive state consensus problem of a network of homogeneous LTI positive agents, and applies a hierarchical control protocol to achieve finite positive state consensus over directed networks. The minimal state-space realization for the interconnected positive agents is derived without the restriction of an internally positive state-space realization. A set of sufficient conditions and controller gain matrices are obtained through linear programming framework, and an observer-based hierarchical control protocol is proposed for achieving finite positive state consensus. Numerical examples are provided to demonstrate the usefulness of the proposed results.
Article
Computer Science, Artificial Intelligence
Siyu Chen, Qing An, Yanyan Ye, Housheng Su
Summary: This paper investigates the positive consensus of fractional-order multi-agent systems with general linear dynamics and fractional order in (0, 2) using state feedback. It provides distributed positive consensus protocols, necessary and sufficient conditions for the consensus with positive constraint, and some sufficient positive consensus conditions. Illustration examples show the validity and superiority of the proposed approach compared to related methods.
NEURAL COMPUTING & APPLICATIONS
(2021)
Article
Automation & Control Systems
Xinman Li, Haijun Jiang, Cheng Hu, Zhiyong Yu
Summary: This article investigates the leaderless and leader-following scaled consensus of second-order multi-agent systems with nonlinear dynamics under distributed adaptive control. A nonreduced order method is applied to transform the variable-replaced systems into a pure second-order differential system. A novel Lyapunov function involving the error variables and derivative of the error variables is constructed to directly discuss the second-order differential system, which is different from the traditional analysis method. Two different coupling gains are designed based on the position and velocity of the agent to solve the leader-following scaled consensus more flexibly.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
