基于演算子理论的多输入多输出磁滞非线性系统的鲁棒控制研究

项目名称： 基于演算子理论的多输入多输出磁滞非线性系统的鲁棒控制研究

项目编号： No.61203229

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 自动化学科

项目作者： 毕淑慧

作者单位： 山东省科学院

项目金额： 25万元

中文摘要： 磁滞非线性广泛存在于工程实际中，它能够造成系统的精度下降、振荡甚至造成系统不稳定。而具有磁滞的非线性控制系统的建模与控制问题是一个富有挑战性的难题，目前还没有从理论建立高度有效的系统分析与综合方法。本项目用基于演算子理论的鲁棒右互质分解方法对具有磁滞的多输入多输出非线性系统进行研究。设计的控制系统能够有效地控制系统中的磁滞、非线性、耦合和不确定性因素的影响，保持系统的鲁棒稳定性；应用李普希茨范数与压缩映射原理等将提出的方法推广到多输入多输出系统中处理耦合影响；并通过设计输出跟踪控制器在磁滞和不确定性因素的影响下实现较精确的跟踪功能。

中文关键词： 鲁棒非线性控制；磁滞；不确定性；基于演算子理论的鲁棒右互质分解方法；多输入多输出

英文摘要： Hysteresis nonlinearity has extensive practical background, it widely exists in engineering practice, and it usually causes undesirable inaccuracy, oscillations, and even lead to system instability. However, the modeling and nonlinear control of a system with complex hysteresis is a challenging topic in the control field. Until now, it has not established a highly effective system analysis and synthesis method for controlling hysteresis. In this project, operator based robust nonlinear control system design for multi-input multi-output (MIMO) nonlinear systems with hysteresis is considered. That is, by using operator based robust right coprime factorization approach, the designed control system can effectively control the hysteresis, nonlinearity, coupling effects and uncertainties, namely, the designed system is robustly stable. Also, the definition of generalized Lispchitz norm and contranction map theorem and so on are extended to deal with the coupling effects of the MIMO nonlinear systems. Moreover, the output tracking problem is studied, the perfect tracking performance can be realized by a tracking design scheme even though the hysteresis and uncertainties exist.

英文关键词： Robust nonlinear control；hysteresis；uncertainty；operator based robust coprime factorization approa；multi-input multi output