论文标题
合作 - 抗衡网络的强大规定时间协调控制与干扰
Robust prescribed-time coordination control of cooperative-antagonistic networks with disturbances
论文作者
论文摘要
本文的目标是解决单一积分剂合作 - 抗逆邦网络（CANS）的强大规定时间协调控制（PTCC）问题，其外部干扰在任意固定签名的杂物下，而没有任何结构性约束。为此，首先研究了未经干扰的标称单积体罐的PTCC问题，并使用邻近药物的相对状态提出了拟议的，具有随着时间变化的增益的完全分布的控制协议，随着时间的变化而成长为无穷大。然后，基于标称单积体罐的建议控制协议，在存在外部干扰的情况下，构建了新的二阶规定时间滑动模式控制协议，以实现单积分罐的准确PTCC。使用基于Lyapunov的分析，有足够的条件来保证规定的时间稳定性，两部分共识，间隔两部分共识以及单一集成剂罐的双分部分遏制，而没有干扰或具有干扰的情况下。最后，给出数值模拟以确认派生结果。
This article targets at addressing the robust prescribed-time coordination control (PTCC) problems for single-integrator cooperative-antagonistic networks (CANs) with external disturbances under arbitrary fixed signed digraphs without any structural constraints. Toward this end, the PTCC problems for nominal single-integrator CANs without disturbances are first investigated and a fully distributed control protocol with a time-varying gain, which grows to infinity as the time approaches the settling time, is proposed utilizing the relative states of neighboring agents. Then, based on the proposed control protocol for the nominal single-integrator CANs, a new second-order prescribed-time sliding mode control protocol is constructed to achieve accurate PTCC for single-integrator CANs in the presence of external disturbances. Using Lyapunov based analysis, sufficient conditions to guarantee the prescribed-time stability, bipartite consensus, interval bipartite consensus, and bipartite containment of single-integrator CANs without or with disturbances are, respectively, derived. In the end, numerical simulations are given to confirm the derived results.
