$H_{\infty}$ Optimal Control of Jump Systems Over Multiple Lossy Communication Channels
Systems and Control
2019-11-05 v1 Systems and Control
Abstract
In this paper, we consider the optimal control problem for a Markovian jump linear system (MJLS) over a lossy communication network. It is assumed that the controller communicates with each actuator through a different communication channel. We solve the optimization problem for a Transmission Control Protocol (TCP) using the theory of dynamic games and obtain a state-feedback controller. The infinite horizon optimization problem is analyzed as a limiting case of the finite horizon optimization problem. Then, we obtain the corresponding state-feedback controller, and show that it stabilizes the closed-loop system in the face of random packet dropouts.
Keywords
Cite
@article{arxiv.1911.00668,
title = {$H_{\infty}$ Optimal Control of Jump Systems Over Multiple Lossy Communication Channels},
author = {Abhijit Mazumdar and Srinivasan Krishnaswamy and Somanath Majhi},
journal= {arXiv preprint arXiv:1911.00668},
year = {2019}
}