| 一类不确定时滞广义系统的鲁棒H∞控制 |
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| 引用本文： | 李洁坤,穆春来.一类不确定时滞广义系统的鲁棒H∞控制[J].云南师范大学学报(自然科学版),2009,29(4):22-26. |
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| 作者姓名： | 李洁坤 穆春来 |
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| 作者单位： | 1. 柳州师范高等专科学校数学与计算机科学系,广西,柳州,545004
2. 重庆大学数理学院,重庆,400044 |
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| 基金项目： | 广西教育厅科研资助项目 |
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| 摘 要： | 针对一类状态和输入均带有时滞和扰动且输出带有扰动的不确定广义系统，研究了该系统的鲁棒控制问题．利用Riccati方程的方法通过选择适当的lyapunov函数，得到该广义系统渐近稳定的充分条件．并基于Riccati方程给出了该控制器的设计方法．使得对于所有允许的不确定性，闭环系统渐近稳定且其有性能指标。
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| 关 键 词： | 不确定广义系统 时滞 鲁棒控制 Riccati方程 |
Non-fragile Robust Control for a Class of Singular Systems with Time-delay |
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| LI Jie-kun,MU Chun-lai.Non-fragile Robust Control for a Class of Singular Systems with Time-delay[J].Journal of Yunnan Normal University (Natural Sciences Edition),2009,29(4):22-26. |
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| Authors: | LI Jie-kun MU Chun-lai |
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| Institution: | LIJie-kun, MUChun-lai (1. Department of Mathematics and Computer Science, Liuzhou Teachers College, Guangxi 545004, China; 2. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China) |
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| Abstract: | This paper studies the problem of robust control for a class of uncertainty singular systems with time delay and disturbance both in state and input, and disturbance in output. By means of Riceati equation approach, a sufficient condition is obtained for a singular system by using Riccati equation approach and choosing an appropriate Lyapunov function. For such controller is derived in terms of the solutions of Riccati equations. For all admissible uncertainties, the closed -loop system is robustly asymptotically stable and satisfies a prescribed performance. |
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| Keywords: | uncertain singular system time -delay robust control Riccati equation |
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