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| 一类不满足匹配条件的不确定广义系统的最优保性能控制 | |
| 引用本文： | 史国栋,沃松林,邹云. 一类不满足匹配条件的不确定广义系统的最优保性能控制[J]. 江南大学学报(自然科学版), 2006, 5(3): 293-297 |
| 作者姓名： | 史国栋 沃松林 邹云 |
| 作者单位： | 1. 南京理工大学,自动化系,江苏,南京,210094;常州信息职业技术学院,基础部,江苏,常州,213164 2. 常州信息职业技术学院,基础部,江苏,常州,213164 3. 南京理工大学,自动化系,江苏,南京,210094 |
| 基金项目： | 国家自然科学基金项目(60474078)，江苏高校自然科学计划项目(04KJD120016) |
| 摘 要： | 针对一类不确定性是范数有界时不变的可不满足匹配条件的参数不确定广义线性系统和一个二次型性能指标,研究了其状态反馈最优保性能控制器的设计问题.采用线性矩阵不等式方法,导出了一个用线性矩阵不等式表达的保性能控制律存在的充分条件;在此基础上,建立并求解一个凸优化问题,给出了最优保性能控制律的设计方法.通过实例说明了该方法的应用. |
| 关 键 词： | 不确定广义系统 最优保性能控制 线性矩阵不等式方法 |
| 文章编号： | 1671-7147（2006）03-0293-05 |
| 收稿时间： | 2005-05-25 |
| 修稿时间： | 2005-11-11 |
Optimal Guaranteed Cost Control for a Class of Singular Systems with Mismatched Uncertainties |
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| SHI Guo-dong,WO Song-lin,ZOU Yun. Optimal Guaranteed Cost Control for a Class of Singular Systems with Mismatched Uncertainties[J]. Journal of Southern Yangtze University:Natural Science Edition, 2006, 5(3): 293-297 | |
| Authors: | SHI Guo-dong WO Song-lin ZOU Yun |
| Affiliation: | 1. Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, Chinas;2. Department of Basic Courses, Changzhou College of Information Technology. Changzhou 213164, China |
| Abstract: | For a class of continuous-time singular linear systems with normal bounded time-unvarying and mismatched parameter uncertainties and a quadratic cost index,the problem of designing an optimal guaranteed cost state feedback controller is discussed in this paper.A sufficient condition for the existence of guaranteed cost controller is derived in terms of linear matrix inequalities(LMIs).Besides,the design problem of the optimal guaranteed cost controller is formulated as a convex optimization problem,which can be solved by the existing convex optimization techniques.Finally,an example is given to illustrate the results. |
| Keywords: | uncertain singular systems optimal guaranteed cost control LMI |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |