Stochastic Optimal Linear Control of Wireless Networked Control Systems with Delays and Packet Losses

TL;DR

This paper develops a stochastic optimal control framework for wireless networked control systems with delays and packet losses, leveraging decentralized controllers modeled as a non-cooperative LQ game, and demonstrates its effectiveness on power grid systems.

Contribution

It introduces a novel decentralized stochastic optimal control approach for wireless NCS with delays and packet losses, formulated as a non-cooperative LQ game.

Findings

Effective control law derived for systems with delays and packet losses.

Performance validated on genetic control and load frequency control systems.

Demonstrates improved control performance in wireless NCS environments.

Abstract

In this paper, the design of the optimal decentralized state-feedback controllers is considered for a wireless sensor and actuator network (WSAN) with stochastic network-induced delays and packet losses. In particular, taking advantage of multiple controllers, we model the WSAN as a wireless networked control system (NCS) with decentralized controllers, and then formulate the stochastic optimal state-feedback control problem as a non-cooperative linear quadratic (LQ) game. The optimal control law of each controller is obtained that is a function of the current plant state and all past control signals. The performance of the proposed stochastic optimal control algorithm is investigated using both a genetic control system and a load frequency control (LFC) system in power grid.