| 一类非线性系统的函数观测器设计 |
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| 引用本文： | 高虹,蔡秀珊. 一类非线性系统的函数观测器设计[J]. 控制理论与应用, 2013, 30(9): 1207-1210 |
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| 作者姓名： | 高虹 蔡秀珊 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江金华,321004 |
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| 基金项目： | 国家自然科学基金资助项目(61074011); 浙江省新苗人才计划资助项目(2012R404051). |
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| 摘 要： | 研究单边Lipschitz非线性系统的函数观测器设计.基于线性矩阵不等式获得了函数观测器增益矩阵存在的条件,然后提出函数观测器增益矩阵的设计方法.通过一个仿真实例,验证所设计的函数观测器不仅能够估计系统的状态,而且可使观测误差快速收敛到零.
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| 关 键 词： | 函数观测器 单边Lipschitz 渐近收敛 线性矩阵不等式(LMI) |
| 收稿时间： | 2012-11-05 |
| 修稿时间： | 2013-03-28 |
Functional observer design for a class of nonlinear systems |
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| GAO Hong and CAI Xiu-Shan. Functional observer design for a class of nonlinear systems[J]. Control Theory & Applications, 2013, 30(9): 1207-1210 |
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| Authors: | GAO Hong and CAI Xiu-Shan |
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| Affiliation: | College of Mathematics, Physics and Information Engineering, Zhejiang Normal University,College of Mathematics, Physics and Information Engineering, Zhejiang Normal University |
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| Abstract: | A functional observer design for one-sided Lipschitz nonlinear systems is investigated. The existence conditions for gain matrices of a functional observer are derived based on linear matrix inequalities. Then, a design method for gain matrices of the functional observer is presented. Simulation results show that the proposed approach estimate the states of the system with a high convergence rate of the estimation errors. |
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| Keywords: | functional observer one-sided Lipschitz asymptotic convergence linear matrix inequality (LMI) |
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