Towards the Control of Linear Systems with Minimum Bit-Rate. Hespanha, J., Ortega, A., & Vasudevan, L.
Towards the Control of Linear Systems with Minimum Bit-Rate [pdf]Paper  Towards the Control of Linear Systems with Minimum Bit-Rate [pdf]Website  abstract   bibtex   
We address the problem of determining the minimum bit-rate needed to stabilize a linear time-invariant process. For the noise free case, we determine a bit-rate below which stabilization is not possible and above which asymptotic stabilization can be achieved. Inspired by differential pulse code modulation (DPCM) techniques, we propose practical encoding/decoding schemes that guarantee boundedness of the state for the case of a noisy linear time-invariant process. With fixed-step quantization, we are only able to approach the minimum bit-rate for the noiseless case. However, with variable-step quantization we are able to approach it even in the presence of noise and disturbances.
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 title = {Towards the Control of Linear Systems with Minimum Bit-Rate},
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 abstract = {We address the problem of determining the minimum bit-rate needed to stabilize a linear time-invariant process. For the noise free case, we determine a bit-rate below which stabilization is not possible and above which asymptotic stabilization can be achieved. Inspired by differential pulse code modulation (DPCM) techniques, we propose practical encoding/decoding schemes that guarantee boundedness of the state for the case of a noisy linear time-invariant process. With fixed-step quantization, we are only able to approach the minimum bit-rate for the noiseless case. However, with variable-step quantization we are able to approach it even in the presence of noise and disturbances.},
 bibtype = {article},
 author = {Hespanha, João and Ortega, Antonio and Vasudevan, Lavanya}
}
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