首页 | 本学科首页   官方微博 | 高级检索  
     

一类广义不确定非线性系统的鲁棒镇定——LMI方法
引用本文:袁芳,孙敏慧,徐胜元. 一类广义不确定非线性系统的鲁棒镇定——LMI方法[J]. 南京理工大学学报(自然科学版), 2007, 31(3): 274-277
作者姓名:袁芳  孙敏慧  徐胜元
作者单位:南京理工大学,自动化学院,江苏,南京,210094;中国航天二院,研究生院,北京,100854;中国海洋大学,数学系,山东,青岛,266071;南京理工大学,自动化学院,江苏,南京,210094
摘    要:设计状态反馈控制器使得一类广义不确定非线性系统对所有容许的不确定性闭环系统正则,无脉冲且渐近稳定.运用线性矩阵不等式(LMI)原理和相关引理为该类系统确定期望的状态反馈控制器的表达式,并利用MATLAB中的LMI工具箱进行算法编程与求解,从而较为方便地为实际系统确定具体的状态反馈控制器提供依据.最后通过具体实例说明设计方法的可行性和有效性.

关 键 词:线性矩阵不等式  广义系统  不确定性  非线性系统  鲁棒镇定  状态反馈
文章编号:1005-9830(2007)03-0274-04
修稿时间:2005-07-132007-03-07

Robust Stabilization for a Class of Nonlinear Singular Systems with Uncertainty: A LMI Approach
YUAN Fang,SUN Min-hui,XU Sheng-yuan. Robust Stabilization for a Class of Nonlinear Singular Systems with Uncertainty: A LMI Approach[J]. Journal of Nanjing University of Science and Technology(Nature Science), 2007, 31(3): 274-277
Authors:YUAN Fang  SUN Min-hui  XU Sheng-yuan
Affiliation:1. School of Automation, NUST, Nanjing 210094, China; 2. Graduate School, Second Academy of China Aerospace, Beijing 100854, China; 3. Department of Mathematics, Ocean University of China, Qingdao 266071, China
Abstract:The design approach to a state feedback controller for a class of nonlinear singular systems with parameter uncertainties is proposed.The close-loop system with controller keeps regular,impulse-free and asymptotically stable for all admissible uncertainties.The state feedback controller is obtained via linear matrix inequality(LMI) and correlative lemma.Programs are made by using LMI toolbox of MATLAB in order to get results expediently for the real conditions.An example is given to demonstrate the feasibility and effectiveness of the result.
Keywords:linear matrix inequality   singular system   uncertainty   non-linear system   robust stabilization    state feedback
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号