带有输入饱和的非线性控制系统的量化反馈控制

项目名称： 带有输入饱和的非线性控制系统的量化反馈控制

项目编号： No.61503190

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 自动化技术、计算机技术

项目作者： 宋公飞

作者单位： 南京信息工程大学

项目金额： 20万元

中文摘要： 输入饱和是控制系统一个常见的特征。传输控制信号的执行器在实际应用中都要受到幅值或能量大小的限制。在分析动态系统中，研究反馈被量化在控制理论中已经是一个核心问题。本项目旨在研究带有输入饱和的非线性控制系统的量化反馈控制问题：应用处理嵌套饱和的方法解决在静态饱和量化器情形下带有输入饱和的线性系统的稳定性分析与镇定问题；研究在其它静态量化器情形下具有输入饱和的线性系统量化反馈控制问题。基于静态对数量化器等其它静态量化器，研究带有输入饱和的Lipschitz非线性系统量化反馈控制问题。进一步，研究带有输入饱和的严格反馈非线性系统量化反馈控制问题，与之前处理饱和项不同，利用非线性光滑函数逼近饱和函数。本项目选题紧密围绕具有输入饱和的非线性控制系统的量化反馈控制这一控制科学领域的热点，顺应了该学科的发展趋势。

中文关键词： 输入饱和；量化输入；量化输出；非线性系统；时滞

英文摘要： Input saturation is a common feature of control systems. In practice, the actuators that transfer the control signal in practical applications are always subject to limits in their magnitude or energy. The analysis of dynamical systems in which the feedback is a quantized function has been a central issue in control theory. In this project, the problems of quantized feedback control for nonlinear control systems with input saturation are investigated. Based on the approach to deal with nested saturation, the problems of stability analysis and stabilization of linear systems subject to input saturation and a static saturated quantizer are sloved. The problems of quantized feedback control are investigated for linear systems with input saturation and other types of static quantizers are studied. Focusing on a static logarithmic quantizer and other types of static quantizers , the quantized feedback control problems for a class of Lipschitz nonlinear systems subject to input saturation are discussed. Furthermore, the problems of adaptive quantized feedback control are investigated for a class of nonlinear systems in strict feedback form with input saturation. Compared with the existing result for handing saturation nonlinearity, we use the smooth function to approximate the saturation nonlinear function. The problems investigated in this project are from the literature on quantized feedback control problems for nonlinear control systems with input saturation, which is a hot topic in the control community, and therefore, this confirms to the development trend of this subject.

英文关键词： Input Saturation ;Quantized input;Quantized output;Nonlinear Systems;Time-delay