一类不确定非线性大系统的非光滑分散控制研究

项目名称： 一类不确定非线性大系统的非光滑分散控制研究

项目编号： No.61503122

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： 兰奇逊

作者单位： 河南城建学院

项目金额： 21万元

中文摘要： 不确定性广泛存在于各类工业系统中，是系统控制性能恶化的一个重要因素。非光滑控制因其可以提高闭环系统的收敛速度和抗干扰性能而受到越来越多的关注。然而，已有的非光滑控制多局限于对单个非线性系统的研究，关于不确定非线性大系统的非光滑分散控制研究尚处于起步阶段，因此，对该问题进行深入的研究具有重要的理论和实际意义。本项目拟围绕一类具有三角(下三角和上三角)结构的不确定非线性大系统非光滑分散控制问题进行研究。主要研究内容包括：(1)研究一类参数不确定非线性大系统的非光滑分散控制问题；(2)提出一类受扰非线性大系统的非光滑主动抗干扰分散控制方法；(3)探索一类受扰非线性大系统的复合非光滑采样分散控制策略；(4)研究上述控制算法在三相逆变器并联系统和多关节刚体机械手系统中的应用和实现问题。本项目研究将拓宽非光滑控制的适用范围，为复杂不确定非线性大系统的高精度控制提供切实可行的理论方法。

中文关键词： 非光滑控制；非线性大系统；分散控制；不确定性；扰动观测器

英文摘要： Uncertainty widely exists in various of industrial systems, which is one of the important factors that lead to the deterioration of the control performance. Nonsmooth control has attracted more and more attentions since the nonsmooth control can improve the convergence rate as well as disturbance rejection performance of the closed-loop system. However, the existing nonsmooth control is mainly confined to the study of single nonlinear systems. Research on nonsmooth decentralized control for large-scale nonlinear systems is still on its initial stage, and thus the research on such topic has great theoretical and practical significance. This project will mainly focus on the research of nonsmooth decentralized control problems for a class of uncertain large-scale nonlinear systems with triangular ( including lower triangular and upper triangular ) structure. The main research contents are summarized as follows: (1) the nonsmooth decentralized control problem for a class of large-scale nonlinear systems with parameter uncertainties is studied; (2) the nonsmooth active disturbance rejection decentralized control method for a class of large-scale nonlinear systems subjected to disturbances is proposed; (3) the composite nonsmooth sampled-data decentralized control strategy for a class of large-scale nonlinear systems subjected to disturbances is explored; (4) the decentralized control problems for parallel three-phase inverter systems and multi-link rigid manipulator systems are investigated based on the above control algorithms. The research of this project will not only broaden the scope of application of the nonsmooth control, but also provide effective theoretical methods for high precision control of complex large-scale nonlinear systems with uncertainties.

英文关键词： Nonsmooth control;Large-scale nonlinear system;Decentralized control;Uncertainty;Disturbance observer