|
|||||
|
|
| 一类不确定广义周期时变系统的鲁棒H_∞控制 | |
| 引用本文： | 樊仲光,梁家荣,肖剑.一类不确定广义周期时变系统的鲁棒H_∞控制[J].数学杂志,2012,32(2):369-376. |
| 作者姓名： | 樊仲光 梁家荣 肖剑 |
| 作者单位： | 1. 广西大学数学与信息科学学院,广西南宁530004;河池学院教师教育学院,广西宜州546300 2. 广西大学计算机与电子信息学院,广西南宁,530004 3. 华中科技大学控制科学与工程系,湖北武汉,430074 |
| 基金项目： | 国家自然科学基金，教育部"新世纪优秀人才支持计划"专项基金 |
| 摘 要： | 本文研究了状态矩阵具不确定性广义周期时变系统的鲁棒H∞控制问题.利用线性矩阵不等式(LMI)方法,在给出不确定广义周期时变系统广义可镇定和广义二次可镇定且具有H∞性能指标概念的基础上,得到了该系统广义二次可镇定且具有H∞性能指标γ的充要条件,并给出了相应的鲁棒H∞状态反馈控制律的设计方法,推广了周期系统的鲁棒控制理论结果.最后,通过数值算例说明了设计方法的有效性. |
| 关 键 词： | 不确定广义周期时变系统 广义二次可镇定 线性矩阵不等式(LMI) 鲁棒H∞控制 |
ROBUST H∞ CONTROL FOR A CLASS OF LINEAR TIME-VARYING UNCERTAIN PERIODIC GENERALIZED SYSTEMS |
|
| FAN Zhong-guang , LIANG Jia-rong , XIAO Jian.ROBUST H∞ CONTROL FOR A CLASS OF LINEAR TIME-VARYING UNCERTAIN PERIODIC GENERALIZED SYSTEMS[J].Journal of Mathematics,2012,32(2):369-376. | |
| Authors: | FAN Zhong-guang LIANG Jia-rong XIAO Jian |
| Institution: | 1.School of Mathematics and Information Science,Guangxi University,Nanning 530004,China)(2.School of Teacher Education,Hechi University,Yizhou 546300,China)(3.School of Computer and Electronic Information Science,Guangxi University,Nanning 530004,China)(4.Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China) |
| Abstract: | This paper considers the problem of robust H∞ control for linear time-varying periodic generalized systems with uncertainty in the state matrix.The necessary and sufficient conditions for generalized quadratic stabilization with a H∞ performance index γ are put forward and the corresponding robust H∞ state feedback control law is proposed by using the method of LMI on basis of the concepts of generalized stabilizability and generalized quadratic stabilizability with H∞ performance index for uncertain periodic generalized systems,so that the robust control theories of periodic generalized systems are generalized.Finally,a numerical example is given to illustrate the effectiveness of the approach. |
| Keywords: | time-varying uncertain periodic generalized systems generalized quadratic stabilizability linear matrix inequalities(LMI) robust H∞ control |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |