Robust Stabilization of Nonlinear Systems by Quantized and Ternary Control

Self-triggered Stabilization of Discrete-time Linear Systems with Quantized State Measurements

We study the self-triggered stabilization of discrete-time linear systems with quantized state measurements. In the networked control system we consider, sensors may be spatially distributed and be connected to a self-triggering mechanism through finite data-rate channels. Each sensor independently encodes its measurements and sends them to the self-triggering mechanism. The self-triggering mechanism integrates quantized measurement data and then computes sampling times. Assuming that the closed-loop system is stable in the absence of quantization and self-triggered sampling, we propose a join…

切换线性系统量化输出反馈稳定化

Quantized Output Feedback Stabilization of Switched Linear Systems

本文研究通过量化输出反馈稳定连续时间切换线性系统，利用多Lyapunov函数和平均驻留时间性质设计编码策略，并在每次切换时调整'缩放'参数。

具有状态量化的线性系统的有限/固定时间镇定

Finite/fixed-time Stabilization of Linear Systems with States Quantization

本文提出基于齐次性的方法，解决具有量化测量的线性时不变系统的有限/固定时间镇定问题，推导充分条件并证明量化足够密集时齐次量化反馈可保证稳定性，数值仿真验证了理论。

使用量化数据的线性系统数据驱动控制

Data-driven control of linear systems using quantized data

本文提出一种基于量化数据的数据驱动控制方法，通过两阶段设计（构建SDP和基于李雅普诺夫的量化器更新）实现未知线性系统的指数镇定，并保证量化单元数量有限。

Hybrid Control of a Bioreactor with Quantized Measurements: Extended Version

We consider the problem of global stabilization of an unstable bioreactor model (e.g. for anaerobic digestion), when the measurements are discrete and in finite number ("quantized"), with control of the dilution rate. The model is a differential system with two variables, and the output is the biomass growth. The measurements define regions in the state space, and they can be perfect or uncertain (i.e. without or with overlaps). We show that, under appropriate assumptions, a quantized control may lead to global stabilization: trajectories have to follow some transitions between the regions, un…

Quantized State Feedback Stabilization of Nonlinear Systems under Denial-of-Service

This paper studies the resilient control of networked systems in the presence of cyber attacks. In particular, we consider the state feedback stabilization problem for nonlinear systems when the state measurement is sent to the controller via a communication channel that only has a finite transmitting rate and is moreover subject to cyber attacks in the form of Denial-of-Service (DoS). We use a dynamic quantization method to update the quantization range of the encoder/decoder and characterize the number of bits for quantization needed to stabilize the system under a given level of DoS attacks…