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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| Published in | 电机与控制学报 Vol. 19; no. 8; pp. 95 - 100 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| 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 |
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| Online Access | Get full text |
| ISSN | 1007-449X |
| DOI | 10.15938/j.emc.2015.08.014 |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. TP273; 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. |
| Abstract_FL | 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. |
| Author | 赵岩峰 沈继红 陈丽丽 |
| AuthorAffiliation | 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 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 |
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| Author_FL | CHEN Li-li SHEN Ji-hong ZHAO Yan-feng |
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| Keywords | 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 |
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| Notes | 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 |
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| Publisher | 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 哈尔滨工程大学 自动化学院,黑龙江 哈尔滨150010 |
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| Snippet | 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.... TP273; 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.... |
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| SubjectTerms | 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 （ |
| Title | 基于参数依赖Lyapunov方法的Gl2性能分析 |
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