How much information is needed in quantized nonlinear control?
How much information is needed in quantized nonlinear control?作者机构：School of Mathematical Sciences Beijing Normal University Department of Electrical and Computer Engineering Wayne State University Key Laboratory of Systems and Control Academy of Mathematics and Systems ScienceChinese Academy of Sciences
出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))
年 卷 期：2018年第61卷第9期
页 面：205-217页
核心收录：
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
主 题：nonlinear systems disturbances input-to-state stabilizability sampled systems quantization rate
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.
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