Synthesis for optimal two-player decentralized control over TCP erasure channels with state feedback

Abstract

We propose a state-space synthesis for infinite horizon decentralized LQG control problems over TCP erasure channels with state feedback under sufficient conditions on convergence and stability. The decentralized system under consideration consists of two interconnected systems with unidirectional information communication from system 1 to system 2. The finite horizon counterpart of this problem was proposed previously, along with two modified Riccati recursions. When the mean packet drop rate E(N) satisfies two given conditions on convergence and stability, we show that the sequence of optimal finite horizon costs converges and construct an optimal infinite horizon synthesis.