An H/sub /spl infin// approach to networked control

TLDR

The paper investigates how networked communication affects control system performance. The authors model packet loss with a stochastic Markovian process and use H∞ norm analysis via matrix inequalities to derive LMI conditions for optimal controller synthesis in discrete‑time jump systems. Applying the derived conditions, the study demonstrates how communication losses impact vehicle control performance.

Abstract

In this paper, we study the effect of a network in the feedback loop of a control system. We use a stochastic packet-loss model for the network and note that results for discrete-time linear systems with Markovian jumping parameters can be applied. We measure performance using an H/sub /spl infin// norm and compute this norm via a necessary and sufficient matrix inequality condition. We also derive necessary and sufficient linear matrix inequality (LMI) conditions for the synthesis of the H/sub /spl infin// optimal controller for a discrete-time jump system. Finally, we apply these results to study the effect of communication losses on vehicle control.