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Scalable Control of Positive Systems

In English

Författare

Summary, in English

Classical control theory does not scale well for large systems such as power networks, traffic networks and chemical reaction networks. However, many such applications in science and engineering can be efficiently modeled using the concept of positive systems and the nonlinear counterpart monotone systems. It is therefore of great interest to see how such models can be used for control. This paper demonstrates how positive systems can be exploited for analysis and design of large-scale control systems. Methods for synthesis of distributed controllers are developed based on linear Lyapunov functions and storage functions instead of quadratic ones. The main results are extended to frequency domain input–output models using the notion of positively dominated system. Applications to transportation networks and vehicle formations are provided.

Publiceringsår

2015

Språk

Engelska

Sidor

72-80

Publikation/Tidskrift/Serie

European Journal of Control

Volym

24

Dokumenttyp

Artikel i tidskrift

Förlag

Lavoisier

Ämne

  • Control Engineering

Nyckelord

  • Distributed control
  • positive systems

Status

Published

Projekt

  • LCCC

Forskningsgrupp

  • LCCC

ISBN/ISSN/Övrigt

  • ISSN: 1435-5671