H_∞ Optimal Control of Jump Systems Over Multiple Lossy Communication Channels

2019/11/02 by Abhijit Mazumdar, Mazumdar, Abhijit, Srinivasan Krishnaswamy +3
Computer Science · Engineering · #FOS: Electrical engineering #Petri Nets in System Modeling #Smart Grid Security and Resilience #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1911.00668

openalex publication_date 2019/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the H_∞ 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 H_∞ optimization problem for a Transmission Control Protocol (TCP) using the theory of dynamic games and obtain a state-feedback controller. The infinite horizon H_∞ 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.

Citations

• Foundations of Control and Estimation Over Lossy Networks

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