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| 一类饱和非有理系统状态反馈设计 | |
| 引用本文： | 王乃洲,裴海龙,王俊,张谦.一类饱和非有理系统状态反馈设计[J].控制理论与应用,2015,32(6):823-831. |
| 作者姓名： | 王乃洲 裴海龙 王俊 张谦 |
| 作者单位： | 1. 华南理工大学自主系统与网络控制教育部重点实验室,广东广州,510640 2. 河南大学计算机与信息工程学院,河南开封,475004 3. 广东第二师范学院计算机科学学院,广东广州,510310 |
| 基金项目： | National Key Basic Research Program of China ("973" program)，National Natural Science Foundation of China，Specialized Research Fund for the Doctoral Program of Higher Education，partially by Key Laboratory of Autonomous Systems and Networked Control |
| 摘 要： | 本文研究了一类饱和非有理系统状态反馈镇定问题.通过线性分式表示技术,这类非有理系统可以转化为带有两个非线性回路的线性时不变(linear time-invariant,LTI)系统.假设非有理函数项分别满足局部扇形区间不等式以及局部Lipschitz条件,提出了两种基于LMI条件的镇定方法.最后,举例证明了所提出方法的有效性. |
| 关 键 词： | 执行器饱和 状态反馈 非线性系统 线性矩阵不等式 吸引域 |
| 收稿时间： | 4/9/2014 12:00:00 AM |
| 修稿时间： | 2015/3/19 0:00:00 |
State feedback design for a class of non-rational systems subject to actuator saturation |
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| WANG Nai-zhou,PEI Hai-long,WANG Jun and ZHANG Qian.State feedback design for a class of non-rational systems subject to actuator saturation[J].Control Theory & Applications,2015,32(6):823-831. | |
| Authors: | WANG Nai-zhou PEI Hai-long WANG Jun and ZHANG Qian |
| Affiliation: | Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, South China University of Technology,Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, South China University of Technology,School of Computer and Information Engineering, Henan University,School of Computer Science, Guangdong University of Education |
| Abstract: | This paper focuses on the stabilization of a class of non-rational systems subject to actuator saturation. In particular, by using the linear-fractional representation (LFR) technique, the non-rational system is transformed into a linear time-invariant (LTI) system with two additional feedback loops between nonlinear terms. Assuming that the non-rational term is locally sector -bounded or locally Lipschitz, we propose two kinds of LMI-based synthesis conditions. Finally, a numerical example illustrates the effectiveness of the proposed approaches. |
| Keywords: | actuator saturation state feedback nonlinear system linear matrix inequalities region of attraction |
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