线性Leader-Follower多智能体系统固定时间状态观察与共识控制的新设计方法

IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Complexity Pub Date : 2025-02-22 DOI:10.1155/cplx/6615172
Hongliang Li, Fan Liu, Yilin Liu, Wuneng Zhou, Kaili Liao
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引用次数: 0

摘要

讨论了具有有向图的多智能体系统的定时一致性问题。首先,设计了一种新的多智能体系统定时状态观测器。在新的状态观测器中,引入了一个辅助矩阵,该辅助矩阵可以通过求解线性矩阵不等式从理论上得到。辅助矩阵的重要作用是使多智能体系统状态观测的固定时间上界可解且更精确,从而使观测误差系统收敛得更快。基于新的固定时间状态观测器,给出了多智能体系统在固定时间内达到状态观测的充分条件。其次,针对领导-随从多智能体系统设计了一种新的固定时间控制协议。在新的控制器中,引入了另一个辅助矩阵,该辅助矩阵也可以用线性矩阵不等式在理论上得到。利用新的控制协议,利用定时稳定性概念、Lyapunov稳定性理论和LaSalle不变性原理,从理论上证明了闭环leader-follower多智能体系统在固定时间内可以达到定时一致性。新控制协议的重要作用是使共识多智能体系统的固定时间可解,从而使闭环多智能体系统收敛得更快。最后,给出了数值模拟,令人信服地证明了本文方法和结果的优越性。从仿真中可以看出,与现有的一些工作相比,对于共识问题的固定时间估计可能更加准确和快速。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

On Novel Design Methods of Fixed-Time State Observation and Consensus Control for Linear Leader–Follower Multiagent System

On Novel Design Methods of Fixed-Time State Observation and Consensus Control for Linear Leader–Follower Multiagent System

In this paper, the fixed-time consensus problem for leader–follower multiagent systems with directed graphs is discussed. First, a new fixed-time state observer of the multiagent system is designed. In the new state observer, an auxiliary matrix is introduced which can be theoretically obtained by solving a linear matrix inequality. The important role of the auxiliary matrix is that it makes the upper bound of the fixed time for the state observation of multiagent system solvable and more accurate, which enable the observation error system converges faster. Based on the new fixed-time state observer, a sufficient condition is given with which the observation of the state of multiagent system can be reached in fixed time. Second, a new fixed-time control protocol is designed for the leader–follower multiagent system. In the new controller, another auxiliary matrix is introduced which can also be theoretically obtained with linear matrix inequality. With the new control protocol, the closed-loop leader–follower multiagent system is theoretically shown that the fixed-time consensus can be reached in fixed time by means of the concept of fixed-time stability, Lyapunov stability theory, and LaSalle’s invariance principle. The important role of the new control protocol is that it also makes the fixed time for the consensus multiagent system solvable and then the closed-loop multiagent system converges faster. Finally, some numerical simulations are presented to demonstrate convincingly the superiority of the method and results obtained in this paper. From the simulations, it can be seen that in comparison with some existing works, the estimate of fixed time for the consensus problem may be more accurate and faster.

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来源期刊
Complexity
Complexity 综合性期刊-数学跨学科应用
CiteScore
5.80
自引率
4.30%
发文量
595
审稿时长
>12 weeks
期刊介绍: Complexity is a cross-disciplinary journal focusing on the rapidly expanding science of complex adaptive systems. The purpose of the journal is to advance the science of complexity. Articles may deal with such methodological themes as chaos, genetic algorithms, cellular automata, neural networks, and evolutionary game theory. Papers treating applications in any area of natural science or human endeavor are welcome, and especially encouraged are papers integrating conceptual themes and applications that cross traditional disciplinary boundaries. Complexity is not meant to serve as a forum for speculation and vague analogies between words like “chaos,” “self-organization,” and “emergence” that are often used in completely different ways in science and in daily life.
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