Reduced-order observer-based consensus control of linear multi-agent systems over directed networks with nonuniform communication delays

Abstract

<jats:p> This paper considers a consensus control of a general linear multi-agent system with time-varying communication delays. Since each agent can only use the relative output information from its neighbors, a reduced-order observer-based control protocol is proposed to guarantee consensus on the directed communication network. The stability of the closed-loop system is analyzed for the cases with uniform delays and nonuniform time-varying delays, respectively. Moreover, the upper bounds of the communication delays are obtained respectively for the two cases. Finally, two numerical examples are provided to illustrate the proposed theoretical results. </jats:p>

Stability Analysis of State Delay Multiagent Systems with Observer-Based Control Protocols

“…In [17], a new reduced-order observer is used to modify the existing consistency protocol, which does not need the absolute output information of neighbor agents. Based on this foundation, the consistency of MASs with time delay based on reduced-order observers is also studied in [18][19][20].…”

“…However, the consistency of MASs with input and output delay can be converted into a problem without delay by some transformation in [21], this is diferent from case of state delay, but state delay is seldom considered, and state delay phenomenon exists widely in nature. Terefore, it is meaningful to research consensus problem with state delays, in view of this, on the basis of reference [18][19][20]. Tis paper focuses on the reduced-order observer-based consensus problem of the MASs with state delay.…”

Sliding mode fault-tolerant consensus control for heterogeneous multi-agent systems based on finite-time observer and controller

“…Due to the superiorities of stronger robustness, higher flexibility and better performances in fault tolerance when compared with single-agent systems, MASs have drawn extensive attentions from researchers in different scientific fields. MASs have wide applications (Chen et al, 2018; Liu et al, 2022; Mo et al, 2021; Wang et al, 2020b) in practice, such as network sensor communications, multi-UAVs cooperation and so on.…”