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具有扇区有界非线性时变时延离散系统的非脆弱H_infinity控制
引用本文:杨晓芳,杨维,刘建昌.具有扇区有界非线性时变时延离散系统的非脆弱H_infinity控制[J].控制与决策,2011,26(11):1711-1715.
作者姓名:杨晓芳  杨维  刘建昌
作者单位:1. 东北大学信息科学与工程学院,沈阳110819/本溪钢铁集团有限责任公司,辽宁本溪117000
2. 东北大学信息科学与工程学院,沈阳,110819
摘    要:研究具有扇区有界非线性时变时延离散系统的非脆弱非线性记忆状态反馈H∞控制器的设计问题.提出一种具有更一般性的控制器增益不确定,并采用Lyapunov-Krasovskii泛函及线性矩阵不等式技术给出了控制器设计的一个时滞依赖的充分条件.最后通过一个例子验证了所提出方法的有效性.

关 键 词:时延  非脆弱控制  Lyapunov-Krasovskii泛函  记忆控制器  线性矩阵不等式
收稿时间:2010/9/3 0:00:00
修稿时间:2010/12/2 0:00:00

Non-fragile memory state feedback H_infinity control for discrete-time systems with simultaneous sector-bounded nonlinearities and varying time delay
with simultaneous sector-bounded nonlinearities , varying time delay YANG Xiao-fang,YANG Wei,LIU Jian-chang Co Ltd,Benxi ,China..Non-fragile memory state feedback H_infinity control for discrete-time systems with simultaneous sector-bounded nonlinearities and varying time delay[J].Control and Decision,2011,26(11):1711-1715.
Authors:with simultaneous sector-bounded nonlinearities  varying time delay YANG Xiao-fang    YANG Wei  LIU Jian-chang Co Ltd  Benxi  China
Affiliation:with simultaneous sector-bounded nonlinearities and varying time delay YANG Xiao-fang1,2,YANG Wei1,LIU Jian-chang1(1.College of Information Science and Engineering,Northeastern University,Shenyang 110819,China,2.Benxi Iron & Steel(Group) Co Ltd,Benxi 117000,China.)
Abstract:For a class of discrete-time systems with simultaneous sector-bounded nonlinearities and varying time delay, the
design problem of non-fragile nonlinear memory state feedback??∞ controller is investigated. A more general controller gain
variations is proposed. A sufficient delay dependent condition for the existence of non-fragile controller is obtained by using
appropriate Lyapunov-Krasovskii functional approach and linear matrix inequality(LMI) technique. Finally, a numerical
example demonstrates the effectiveness of the proposed design method.
Keywords:time delays  non-fragile control  Lyapunov-Krasovskii function  memory control  linear matrix inequality  
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