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Optimal control of multi‐hop control networks based on the MLD framework
Author(s) -
Kobayashi Koichi,
Hiraishi Kunihiko
Publication year - 2015
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.22149
Subject(s) - computer science , integer programming , mathematical optimization , optimal control , graph , binary number , linear programming , quadratic programming , wireless network , quadratic equation , networked control system , control (management) , hop (telecommunications) , wireless , control theory (sociology) , mathematics , theoretical computer science , computer network , artificial intelligence , telecommunications , geometry , arithmetic
A multi‐hop control network (MHCN) is a control system in which plants and controllers are connected through a multi‐hop wireless network modeled by a directed graph. In this paper, based on the MLD (mixed logical dynamical) framework, which is one of the powerful methods in hybrid systems control, we propose a modeling method and an optimal control method of MHCNs. First, a directed graph in MHCNs and a switch of the control input are modeled by a pair of a linear state equation and a linear inequality with binary variables. Thus, the MLD model expressing a given MHCN is derived. Next, using the MLD model, the optimal control problem is transformed into a mixed integer quadratic programming problem. Finally, numerical examples are presented. The proposed method provides us a basic result for control of MHCNs. © 2015 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.
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