| 一类非线性离散系统基于有界反馈的奇异H_∞控制问题 |
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| 引用本文： | 程桂芳,卜春霞,慕小武.一类非线性离散系统基于有界反馈的奇异H_∞控制问题[J].数学的实践与认识,2006,36(12):180-187. |
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| 作者姓名： | 程桂芳 卜春霞 慕小武 |
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| 作者单位： | 郑州大学数学系,河南,郑州,450052 |
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| 基金项目： | 河南省教育厅自然科学基金 |
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| 摘 要： | 主要研究基于有界控制律的一类非线性离散系统的奇异H∞控制问题.在系统不满足正则条件的情况下,分离出正则部分与非正则部分,给出基于有界反馈与二次Lyapunov函数的离散系统奇异H∞问题可解性的必要条件以及充分条件,求出的有界控制律能使得闭环系统在保证内稳定的条件下达到干扰衰减.
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| 关 键 词： | 有界反馈 奇异H∞控制 离散系统 非线性系统 |
| 修稿时间： | 2005年6月19日 |
Singular H∞ Control Problem for a Class of Nonlinear Discrete-time Systems with a Bounded-controller |
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| CHENG Gui-fang,BU Chun-xia,MU Xiao-wu.Singular H∞ Control Problem for a Class of Nonlinear Discrete-time Systems with a Bounded-controller[J].Mathematics in Practice and Theory,2006,36(12):180-187. |
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| Authors: | CHENG Gui-fang BU Chun-xia MU Xiao-wu |
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| Abstract: | The singular H_∞ control problem for a class of nonlinear discrete-time system with a bounded feedback control law is mainly considered.when the systems don′t satisfy the regular condition,a necessary condition and a sufficient condition for the solvablitity of singular H_∞ control problem for nonlinear discrete-time systems with a bounded-controller are established.The bounded-controller guarantees the closed-loop systems disturbance attenuation with internal stability. |
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| Keywords: | nonlinear system stability singular H_∞ control discrete-time system |
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