This paper is concerned with the quantized H∞ filtering problem for discrete-time systems subject to limited communication capacity, which includes measurement quantization and random sensor packet losses. By introducing an improved quantized random packet-loss model, the effects of the packet-loss rate and the upper bound of consecutive packet losses and the quantization on the system performa...

In this paper, we first examine several criteria for system identification with quantized output data and show that the ordinary parameter estimator for quantization-free case is still reasonable according to those criteria. Then, we give the optimal quantization schemes for minimizing the estimation errors under a constraint on the number of the quantized subsections of the output signals or t...

This paper studies the problem of quantized feedback control for sampled-data systems which employ a quantizer to transmit feedback signals at a given sampling rate. The so-called static (memoryless) quantizers are considered. Given a continuous-time system, the design objective is to stabilize the system or to achieve certain performance using the coarsest quantization density. We study the po...

This paper studies the tracking problem of an uncertain LTI system where both the control input and system state are quantized. The L1 adaptive controller is designed for the quantized system. Two common types of quantization, logarithmic and uniform, quantization are considered. In both cases, the analysis of the closed-loop system provides a uniform transient performance bound, which depends ...

Disorder in the 1D spinless Holstein model. Abstract: We investigate a spinless fermion system on a one dimensional lattice interacting locally with the optical modes of a quantized phonon field: the Holstein model. The system is shown to have a disordered ground state, for small enough coupling, at any density. This is in contrast to the non quantized phonon case, the static Holstein model, wh...

In this paper, we consider design of interconnectedH∞ feedback control systems with quantized signals. We first assume that a decentralized state feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H∞ disturbance attenuation level is achieved, and that the subsystems’ states are quantized before they are passed to th...

In this paper, we consider design of H∞ feedback control systems with quantized signals. We first assume that a state feedback has been designed for a continuous-time LTI system so that the closed-loop system is (Hurwitz) stable and a desired H∞ disturbance attenuation level is achieved, and that the states are quantized before they are passed to the controller. We propose a statedependent stra...