How much information is needed in quantized nonlinear control?  

作　　者：Chuang ZHENG Lin LI Leyi WANG Chanying LI 

机构地区：[1]School of Mathematical Sciences, Beijing Normal University [2]Department of Electrical and Computer Engineering, Wayne State University [3]Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Science China(Information Sciences)》2018年第9期199-211,共13页中国科学（信息科学）（英文版）

摘　　要：Quantization rate is a crucial measure of complexity in determining stabilizability of control systems subject to quantized state measurements. This paper investigates quantization complexity for a class of nonlinear systems which are subjected to disturbances of unknown statistics and unknown bounds. This class of systems includes linear stablizable systems as special cases. Two lower bounds on the quantization rates are derived which guarantee input-to-state stabilizability for continuous-time and sampled-data feedback strategies, respectively. Simulation examples are provided to validate the results.Quantization rate is a crucial measure of complexity in determining stabilizability of control systems subject to quantized state measurements. This paper investigates quantization complexity for a class of nonlinear systems which are subjected to disturbances of unknown statistics and unknown bounds. This class of systems includes linear stablizable systems as special cases. Two lower bounds on the quantization rates are derived which guarantee input-to-state stabilizability for continuous-time and sampled-data feedback strategies, respectively. Simulation examples are provided to validate the results.

关 键 词：nonlinear systems disturbances input-to-state stabilizability sampled systems quantization rate 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]