Optimal coding-decoding for systems controlled via a communication channel. (English) Zbl 1312.93073
Summary: In this article, we study the problem of controlling plants over a signal-to-noise ratio (SNR) constrained communication channel. Different from previous research, this article emphasises the importance of the actual channel model and coder/decoder in the study of network performance. Our major objectives include coder/decoder design for an additive white Gaussian noise (AWGN) channel with both standard network configuration and Youla parameter network architecture. We find that the optimal coder and decoder can be realised for different network configuration. The results are useful in determining the minimum channel capacity needed in order to stabilise plants over communication channels. The coder/decoder obtained can be used to analyse the effect of uncertainty on the channel capacity. An illustrative example is provided to show the effectiveness of the results.
MSC:
| 93C80 | Frequency-response methods in control theory |
| 93E03 | Stochastic systems in control theory (general) |
| 94A24 | Coding theorems (Shannon theory) |
| 94A40 | Channel models (including quantum) in information and communication theory |
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