Optimal quantized control
- 1 August 1982
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 27 (4), 996-998
- https://doi.org/10.1109/tac.1982.1103050
Abstract
The optimal closed-loop quantized control is derived for the linear-quadratic-Gaussian formulation and shown to be separable in estimation, control, and quantization. The optimal quantizer is time-varying and minimizes a quadratic distortion measure with weighting matrix dependent upon the solution to the matrix Riccati equation. The optimal cost-togo is shown to be the sum of the cost-to-go for the optimal continuous-valued control solution and a term reflecting the quantizer distortion.Keywords
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