Quantized Linear Systems

摘要: In this paper, we show that the coarsest quantizer quadratically stabilizes a single input linear discrete time invariant system is logarithmic, and can be computed by solving special LQR problem. We provide close form for optimal logarithmic base exclusively in terms of unstable eigenvalues system. how to design quantized state-feedback general, state estimators case where all are unstable. This leads output feedback controllers with measurements controls. The theory then extended sampling quantization continuous systems sampled at constant intervals. there an associated minimizes density both still ensures stability. minimization related concept minimal attention control recently introduced Brockett. product sum independent Perhaps even more interestingly, from value time. Finally, relaxing definition quadratic stability, construct quantizers only finite number levels achieve practical stability closed loop. final result provides way practically implement developed paper.