基于参数依赖Lyapunov方法的Gl2性能分析

通过构造参数依赖Lyapunov函数,研究了线性离散不确定系统的广义l2 （ Gl2 ）性能分析问题. 所考虑的线性时不变系统参数不确定性具有凸多面体不确定性形式,同时受外部扰动影响.通过引入自由权矩阵和采用线性矩阵不等式技术,给出了保证系统Gl2 性能的三个充分性判别条件. 通过理论分析,所得结果较已有文献具有更少的保守性. 最后,数值算例验证了此方法的可行性和有效性....

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Bibliographic Details
Published in电机与控制学报 Vol. 19; no. 8; pp. 95 - 100
Main Author 赵岩峰 沈继红 陈丽丽
Format Journal Article
LanguageChinese
Published 哈尔滨理工大学 研究生部,黑龙江 哈尔滨150080%哈尔滨工程大学 自动化学院,黑龙江 哈尔滨,150010%哈尔滨理工大学 应用科学学院,黑龙江 哈尔滨,150080 2015
哈尔滨工程大学 自动化学院,黑龙江 哈尔滨150010
Subjects
Gl2性能
inequality
linear
LMI
matrix
参数依赖Lyapunov函数
离散系统
线性矩阵不等式
自由权矩阵
（
parameter-dependent Lyapunov functions
Gl2性能
discrete systems
Gl2 performance
自由权矩阵
线性矩阵不等式
参数依赖Lyapunov函数
linear matrix inequality ( LMI)
free weight matrices
离散系统
Online AccessGet full text
ISSN1007-449X
DOI10.15938/j.emc.2015.08.014

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Summary:通过构造参数依赖Lyapunov函数,研究了线性离散不确定系统的广义l2 （ Gl2 ）性能分析问题. 所考虑的线性时不变系统参数不确定性具有凸多面体不确定性形式,同时受外部扰动影响.通过引入自由权矩阵和采用线性矩阵不等式技术,给出了保证系统Gl2 性能的三个充分性判别条件. 通过理论分析,所得结果较已有文献具有更少的保守性. 最后,数值算例验证了此方法的可行性和有效性.
Bibliography:ZHAO Yan-feng, SHEN Ji-hong, CHEN Li-li （ 1. College of Automation, Harbin Engineering University, Harbin 150010, China; 2. Graduate department, Harbin University of Science and Technology, Harbin 150080, China; 3. School of Applied Science, Harbin University of Science and Technology, Harbin 150080, China）
By constructing the parameter-dependent Lyapunov functions, the generalized l2 （ Gl2 ） perform-ance analysis problem was studied for linear discrete-time uncertain system. The considered linear uncer-tain time-invariant systems are subject to convex polytopic uncertainty. Moreover, the external disturb-ances exist in the system model. By introducing some free weight matrices and using the linear matrix ine-quality technique, three sufficient conditions were proposed to ensure the desired Gl2 performance. It is shown that the proposed results are less conservative than the existing results. Finally, a numerical exam-ple verifies the feasibility and usefulness of the proposed methods.
23-1408/TM
discrete system
ISSN:1007-449X
DOI:10.15938/j.emc.2015.08.014