In this paper, we show that the coarsest quantizer that quadratically stabilizes a single input linear discrete time invariant system is logarithmic, and can be computed by solving a special LQR problem. We provide a closed form for the optimal logarithmic base exclusively in terms of the unstable eigenvalues of the system. We show how to design quantized state-feedback in general, and quantized state estimators in the case where all the eigenvalues of the system are unstable. This leads to the design of output feedback controllers with quantized measurements and controls. The theory is extended in various ways in the complete version of this paper available from the authors.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Dec 1 1999|
|Event||The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA|
Duration: Dec 7 1999 → Dec 10 1999