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

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