一类具有未知外部扰动的非线性系统全局干扰抑制

山东大学学报(工学版) ›› 2011, Vol. 41 ›› Issue (1): 49-53.

一类具有未知外部扰动的非线性系统全局干扰抑制

蒋沅^1,2,刘树堂^1*

1. 山东大学控制科学与工程学院, 山东济南 250061; 2. 南昌航空大学信息工程学院, 江西南昌 330063

收稿日期:2010-04-20 出版日期:2011-02-16 发布日期:2010-04-20
通讯作者: 刘树堂（1958- ），男，山东淄博人，教授，博士，主要研究方向为2-D离散动力系统混沌控制与同步.E-mail: stliu@sdu.edu.cn E-mail:stliu@sdu.edu.cn
作者简介:蒋沅（1982- ），男，浙江浦江人，博士研究生，主要研究方向为非线性自适应控制等.E-mail:jiangyuan9898@yahoo.com.cn
基金资助:
国家自然科学基金资助项目（60874009，10971120）；全国百篇优秀博士论文专项基金资助项目（200444）

Global disturbance rejection of a class of nonlinear systems with unknown external disturbances

JIANG Yuan^1,2, LIU Shu-tang^1*

1. School of Control Science and Engineering, Shandong University, Jinan 250061, China;
2. School of Information Engineering, Nanchang Hangkong University, Nanchang 330063, China

Received:2010-04-20 Online:2011-02-16 Published:2010-04-20

摘要/Abstract

摘要：

研究一类具有外部未知扰动的非线性系统干扰抑制问题。外部未知扰动是由一类未知有界扰动和一类由非线性外部系统产生的非线性扰动构成的,由外部系统产生的非线性扰动是一类具有非谐波的周期扰动。在规范化参数内模的基础上,利用系统状态的变量信息和外部系统的结构信息构造了一个新的内模方程;在标称系统的控制律基础上,进一步构造了一个反馈控制律来保证闭环系统所有信号全局一致有界。仿真结果验证了干扰抑制算法的有效性。

关键词: 干扰抑制, 非谐波周期扰动, 全局稳定, Van der Pol振子

Abstract:

The global rejection problem for a class of nonlinear systems with unknown external disturbances was studied. The unknown external disturbances contain an unknown bounded disturbance and a class of nonharmonic periodic disturbance generated by a nonlinear exosystem. Based on the normalized parameter internal model, a new nonlinear internal model was designed by utilizing the state variable system and the external system structure. Based on the controller for the disturbancefree system, a state feedback controller was designed to ensure all the signals of the closedloop system were globally uniformly bounded. Simulation results showed the effectiveness of the proposed control algorithm.

Key words: non-harmonic periodic disturbances, global stability, Van der Pol oscillator, disturbance rejection

蒋沅1,2,刘树堂1*. 一类具有未知外部扰动的非线性系统全局干扰抑制[J]. 山东大学学报(工学版), 2011, 41(1): 49-53.

JIANG Yuan1,2, LIU Shu-tang1*. Global disturbance rejection of a class of nonlinear systems with unknown external disturbances[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2011, 41(1): 49-53.

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