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Time-invariant prefix-free source coding for MIMO LQG control (2207.12614v1)
Published 26 Jul 2022 in cs.IT, cs.SY, eess.SP, eess.SY, and math.IT
Abstract: In this work we consider discrete-time multiple-input multiple-output (MIMO) linear-quadratic-Gaussian (LQG) control where the feedback consists of variable length binary codewords. To simplify the decoder architecture, we enforce a strict prefix constraint on the codewords. We develop a data compression architecture that provably achieves a near minimum time-average expected bitrate for a fixed constraint on the LQG performance. The architecture conforms to the strict prefix constraint and does not require time-varying lossless source coding, in contrast to the prior art.