Optimal output-feedback control and separation principle for Markov jump linear systems modeling wireless networked control scenarios (extended version)

TL;DR

This paper develops an optimal output-feedback control framework for wireless networked control systems with packet losses and delays, establishing a separation principle that simplifies controller and filter design under realistic communication constraints.

Contribution

It introduces a separation principle for optimal output-feedback control in wireless networked systems with packet losses and delays, extending prior state feedback results.

Findings

Separation principle holds under TCP-like communication schemes.

Optimal control and filtering can be designed independently.

Framework addresses realistic wireless network conditions.

Abstract

The communication channels used to convey information between the components of wireless networked control systems (WNCSs) are subject to packet losses due to time-varying fading and interference. We consider a wireless networked control scenario, where the packet loss occurs in both the sensor-controller link (sensing link) and the controller-actuator link (actuation link). Moreover, we consider one time-step delay mode observations of the actuation link. While the problems of state feedback optimal control and stabilizability conditions for systems with one time-step delay mode observations of the actuation link have been already solved, we study the optimal output feedback control problem, and we derive a separation principle for the aforementioned wireless networked control scenario. Particularly, we show that the optimal control problem (with one time-step delay in the mode observation of actuation link state) and the optimal filtering problem can be solved independently under a TCP-like communication scheme.