多源干扰非线性系统的定量鲁棒分析和精细抗干扰控制

The control precision enhancement of practical industrial systems severely suffers from multiple sources of disturbances including external disturbances, unmodeled dynamics, model parameter or structure perturbations. Active anti-disturbance control theory, which has provided a feasible solution for higher precision control of systems under multiple sources of disturbances, has become one of the most popular research topics in the control theory society. This project aims to surmount several theoretical research bottlenecks including difficulty in analyzing rigorous robust stability, the harsh requirement for the type of disturbances and difficulty in analyzing the nonlinear sampling-data control. Several key methodologies and techniques including observer bandwidth factor design, adaptive internal model principal, robust integral of sign of error approach, homogenous domination technique, are employed in the project to address the following problems. The performance limitation of quantitative robustness of active anti-disturbance control is analyzed for nonlinear system at first. Secondly, the refined anti-disturbance control approaches are investigated for nonlinear systems with disturbances having a looser structure. Thirdly, the problem of sampled-data anti-disturbance control is investigated for nonlinear systems under multiple disturbances. Finally, the proposed control approaches are developed and applied to several industrial plants such as DC-DC converter, DC-AC inverter, brushless DC servo motor, missile and hypersonic vehicle systems. The researches on this project will further enrich and perfect theoretical architecture of active anti-disturbance control of nonlinear systems, and promote their applications to practical engineering systems as well.

实际工业系统控制精度的提升受到诸如外部干扰、未建模动态、系统模型参数或结构摄动等多源干扰的严重影响。主动抗干扰控制理论为多源干扰系统的高精度控制提供了可行的解决思路，已经成为现代控制理论的研究热点之一。本课题针对主动抗干扰控制领域存在的若干理论瓶颈(如严格鲁棒稳定性不易分析、对干扰类型的要求过于苛刻以及非线性采样控制分析困难等)，利用观测器带宽因子法、自适应内模原理、误差符号鲁棒积分方法、齐次压制技术等，深入而系统地研究如下问题：非线性系统主动抗干扰控制的定量鲁棒性能极限问题；具有宽松结构干扰的非线性系统的精细抗干扰控制方法；多源干扰非线性系统的采样主动抗干扰控制问题；课题理论方法在诸如DC-DC变换器、DC-AC逆变器、无刷直流电机调速、导弹和高超声速飞行器等系统中的应用问题。本课题研究将进一步丰富和完善非线性系统主动抗干扰控制理论体系，促进主动抗干扰控制方法在实际工程系统中的应用。

实际工业系统控制精度的提升受到诸如外部干扰、未建模动态、系统模型参数或结构摄动等多源干扰的严重影响。主动抗干扰控制理论为多源干扰系统的高精度控制提供了可行的解决思路，已经成为现代控制理论的研究热点之一。本课题针对主动抗干扰控制领域存在的若干理论瓶颈(如严格鲁棒稳定性不易分析、对干扰类型的要求过于苛刻以及非线性采样控制分析困难等)，利用观测器带宽因子法、自适应内模原理、误差符号鲁棒积分方法、齐次压制技术等，深入而系统地研究如下问题：非线性系统主动抗干扰控制的定量鲁棒性能极限问题；具有宽松结构干扰的非线性系统的精细抗干扰控制方法；多源干扰非线性系统的采样主动抗干扰控制问题；课题理论方法在诸如DC-DC变换器、DC-AC逆变器、无刷直流电机调速、导弹和高超声速飞行器等系统中的应用问题。本课题研究将进一步丰富和完善非线性系统主动抗干扰控制理论体系，促进主动抗干扰控制方法在实际工程系统中的应用。在本项目的资助下，共发表文章33篇，申请专利16项。