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arXiv · 2207.12614

Time-invariant prefix-free source coding for MIMO LQG control

Travis C. Cuvelier·Takashi Tanaka·Robert W. Heath Jr
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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.

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Travis C. Cuvelier, Takashi Tanaka, Robert W. Heath Jr. 2022-07-26. Time-invariant prefix-free source coding for MIMO LQG control. https://arxiv.org/abs/2207.12614

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