Networked H∞ control of linear systems with state quantization

Abstract

This paper addresses the problem of H 1 controller design for linear systems over digital communication networks. A new model is proposed to describe both the network conditions and the state quantization of the networked control systems in a unified framework. From this model, a quantized state feedback strategy is developed for global and asymptotical stabilization of the networked control systems. The same H 1 disturbance attenuation level as that in the case without quantization is achieved. Numerical examples are given to demonstrate the effectiveness of the proposed method.

Robust observer-based control of switched nonlinear systems with quantized and sample output

“…This two phenomena, sampling and quantization, have been revitalized with the popularization of networked control systems. Successful results were obtained on this subject, as issued in [31,34,41,44].…”

Dynamic Output Feedback Control of Discrete Markov Jump Systems based on Event-Triggered Mechanism

“…Quantization also has become a research hotspot these years, paper [17] notes that quantization process plays an important role in the networked control systems, an adaptive quantizer can help to alleviate network congestion and maintain system stability, paper [18] proposes a quantized state feedback strategy for global and asymptotical stabilization of the networked control systems, papers [19,20] address the problem of output feedback control for networked control systems with limited information, it should be noted that the impact of quantification cannot be ignored, and, in [18,19,21], the quantization deviation is disposed as an uncertainty. Papers [20,22,23] design dynamic quantizer to reduce the impact of the quantization error.…”

Robust H-Infinity Filtering for Networked Control Systems with Markovian Jumps and Packet Dropouts

“…Now, more and more efforts have been devoted to both the stability and the control of the NCSs. On the other hand, note that some inevitable phenomena when the control signals transmitted through the communication network, sev-eral challenging issues will appear such as time-delay, packet dropouts, quantization and so on, which may influence system performance and have been primarily highlighted in Seiler and Sengupta (2005); Zhao et al (2011);Li et al (2012); Peng and Tian (2007); Kim and Kumar (2013).…”