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| 一类不确定非线性离散时滞系统的鲁棒镇定问题 | |
| 引用本文： | 方建印,王莉萍,丛梅艳. 一类不确定非线性离散时滞系统的鲁棒镇定问题[J]. 郑州大学学报(理学版), 2006, 38(3): 10-16 |
| 作者姓名： | 方建印 王莉萍 丛梅艳 |
| 作者单位： | 1. 华南理工大学自动化与工程学院,广州,510641;河南纺织高等专科学校信息工程系,郑州,450007 2. 鹤壁职业技术学院,河南,鹤壁,458030 3. 郑州大学数学系,郑州,450001 |
| 基金项目： | 河南省自然科学基金资助项目,编号0611056000 |
| 摘 要： | 研究了不确定非线性离散系统的鲁棒镇定问题,把不确定非线性离散系统的鲁棒镇定问题转化为严格的线性矩阵不等式,给出了可设计系统无记忆状态反馈控制律的充分条件;当条件满足时设计出无记忆状态反馈控制律使闭环系统渐近稳定,同时得到有界非线性扰动项的最大界值.然后把结果推广到非线性时滞系统,得到了相应的结果. |
| 关 键 词： | 不确定离散系统 时滞 反馈控制 鲁棒镇定 非线性扰动 |
| 文章编号： | 1671-6841(2006)03-0010-07 |
| 收稿时间： | 2006-04-20 |
| 修稿时间： | 2006-04-20 |
Robust Stabilization of Nonlinear Discrete-time Systems with Uncertain Parameters |
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| FANG Jian-yin,WANG Li-ping,CONG Mei-yan. Robust Stabilization of Nonlinear Discrete-time Systems with Uncertain Parameters[J]. Journal of Zhengzhou University(Natrual Science Edition), 2006, 38(3): 10-16 | |
| Authors: | FANG Jian-yin WANG Li-ping CONG Mei-yan |
| Affiliation: | 1. College of Automation and Engineering, South China University of Technology ,Guangzhou 510641, China ; 2. Information Engineering Department, Henan Textile College, Zhengzhou 450007, China ; 3. Hebi College of Vocation and Technology, Hebi 458030, China; 4. Department of Mathematics, Zheng zhou University, Zhengzhou 450001, China |
| Abstract: | The problem of robust stabilization of nonlinear discrete-time systems with uncertain parameters is discussed.The parameter uncertainties are assumed to be time-invariant and norm-bounded.Through a strict linear matrix inequality(LMI),a sufficient condition is provided for designing a memoryless state feedback controller which guarantees the stability of the closed-loop systems and at the same time maximizes the bound on the non-linearity.In the end,the result is extended to nonlinear time-delay systems. |
| Keywords: | uncertian discrete system time delay feedback control robust stabilization nonlinear perturbation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |