Optimal Infinite Horizon Decentralized Networked Controllers With Unreliable Communication

We consider a decentralized networked control system (DNCS) consisting of remote controller and collection linear plants, each associated with local controller. Each directly observes the state its colocated plant can inform plant's through an unreliable uplink channel. The downlink channels from to controllers were assumed be perfect. objective is cooperatively minimize infinite horizon time average expected quadratic cost. finite version this problem was solved in our prior work (“Optimal channels,” IEEE, May 2019). optimal strategies case shown characterized by coupled Riccati recursions. In article, we show that if link failure probabilities are below certain critical thresholds, then recursions solution reach steady corresponding optimal. Above these no strategy achieve exploit connection between DNCS auxiliary Markov jump obtain results. Our main result Theorem 1 explicitly identifies thresholds for when all their thresholds.