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Robust Causal Transform Coding for LQG Systems with Delay Loss in\n Communications

2016/07/27 by Mohammad Kazem Izadinasab, Izadinasab, Mohammad Kazem, Amir Homayoun Bahari Sani +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #Advanced Wireless Communication Techniques #Algorithms and Data Compression #Control Systems and Identification #Error Correcting Code Techniques #FOS: Electrical engineering #Gene Regulatory Network Analysis #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1607.08209

openalex publication_date 2016/07/27 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

A networked controlled system (NCS) in which the plant communicates to the\ncontroller over a channel with random delay loss is considered. The channel\nmodel is motivated by recent development of tree codes for NCS, which\neffectively translates an erasure channel to one with random delay. A causal\ntransform coding scheme is presented which exploits the plant state memory for\nefficient communications (compression) and provides robustness to channel delay\nloss. In this setting, we analyze the performance of linear quadratic Gaussian\n(LQG) closed-loop systems and the design of the optimal controller. The design\nof the transform code for LQG systems is posed as a channel optimized source\ncoding problem of minimizing a weighted mean squared error over the channel.\nThe solution is characterized in two steps of obtaining the optimized causal\nencoding and decoding transforms and rate allocation across a set of transform\ncoding quantizers. Numerical and simulation results for Gauss-Markov sources\nand an LQG system demonstrate the effectiveness of the proposed schemes.\n

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