Observer‐based distributed control of large‐scale systems under gossip communication protocol

This note is concerned with the observer‐based distributed control problem of large‐scale systems under gossip communication protocol. Random binary variables that satisfy a certain conditional probability distribution are introduced to model gossip communication protocol. In such a protocol, each subcontroller receives information from only one randomly chosen neighbor at each instant. Novel observer‐based distributed controllers are proposed for large‐scale systems. Based on Lyapunov stability theory and stochastic matrix manipulations, sufficient conditions are established such that the closed‐loop system is exponentially mean square stable and the prescribed L2 ‐gain performance is satisfied. Then these conditions are transformed into linear matrix inequalities. The observer gains and controller gains can be obtained by solving a set of linear matrix inequalities. Finally, two numerical examples are used to illustrate the effectiveness of the proposed theoretical results.

• Publication year

  2021

• Venue

  Asian journal of control

• Publication date

  2021-10-04

• Fields of study

  Not labeled

• Identifiers
  DOI 10.1002/asjc.2502
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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