| 引用本文: | 邹文成,王荣浩,向峥嵘.一类非线性多自主体系统的实用脉冲一致性[J].控制理论与应用,2023,40(2):267~274.[点击复制] |
| ZOU Wen-cheng,WANG Rong-hao,XIANG Zheng-rong.Practical impulsive consensus of a class of nonlinear multiagent systems[J].Control Theory and Technology,2023,40(2):267~274.[点击复制] |
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| 一类非线性多自主体系统的实用脉冲一致性 |
| Practical impulsive consensus of a class of nonlinear multiagent systems |
| 摘要点击 797 全文点击 275 投稿时间：2022-03-16 修订日期：2022-05-26 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2022.20189 |
| 2023,40(2):267-274 |
| 中文关键词 多自主体系统 一致性 非线性系统 采样控制 脉冲控制 脉冲调制间歇控制 |
| 英文关键词 multiagent systems consensus nonlinear systems sampled-data control impulsive control pulse-modulated intermittent control |
| 基金项目 国家自然科学基金项目(61873128, 62173341), 江苏省重点研发计划项目(BE2018004–3)资助. |
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| 中文摘要 |
| 针对一类非线性多自主体系统, 研究基于实用脉冲控制的一致性协议设计问题. 引入脉冲调制间歇控制策
略, 利用峰值很大, 持续时间很短的信号代替理想脉冲信号, 设计实用脉冲一致性协议. 首先给出一类连续―间歇型
实用脉冲协议. 利用李雅普诺夫函数方法, 图论和间歇控制理论, 证明了在该协议下, 多自主体系统可以实现渐近一
致性. 在连续—间歇型实用脉冲协议实施中, 需在控制作用区间连续量测自主体状态. 针对此局限, 提出了采样―
间歇型实用脉冲协议. 通过采样和间歇控制理论, 建立了多自主体系统实现渐近一致性的充分条件. 进一步地, 分析
了当控制作用区间等于采样周期时, 采样—间歇型实用脉冲协议退化为周期采样控制协议, 而当控制作用区间趋
于0时, 其退化为脉冲控制协议. 揭示了所提出的采样―间歇型实用脉冲协议同周期采样控制协议, 脉冲控制协议之
间的关系. |
| 英文摘要 |
| In this paper, the practical impulsive consensus protocol design is investigated for a class of nonlinear multiagent systems. By introducing the pulse-modulated intermittent control scheme, novel practical impulsive consensus protocols are proposed, where the signals with large peaks and short durations are used to replace the ideal impulsive signals.
First, a continuous-intermittent-type practical impulsive protocol is given, and it is proved that the asymptotic consensus
can be achieved by the protocol using the Lyapunov functional method, graph theory and the intermittent control theory. In
the implementation of the continuous-intermittent-type practical impulsive protocol, it is necessary to measure the agents’
states continuously in the control interval. In view of this limitation, the sampling-intermittent-type practical impulsive
protocol is developed. Using the sampled-data and intermittent control theory, the sufficient condition on the asymptotic
consensus is established. Furthermore, it is analyzed that the sampling-intermittent-type practical impulsive protocol degenerates into the periodic sampled-data protocol when the control interval is equal to the sampling period, and degenerates
into the impulsive protocol when the control interval goes to 0. The relationship among the sampling-intermittent-type
practical impulsive protocol, periodic sampled-data protocol and impulsive protocol is revealed. |
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