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未知输入离散时滞奇异系统的观测器设计
引用本文:马树萍,程兆林.未知输入离散时滞奇异系统的观测器设计[J].控制与决策,2006,21(2):163-166.
作者姓名:马树萍  程兆林
作者单位:山东大学,数学与系统科学学院,济南,250100
基金项目:国家自然科学基金项目(10371067);山东大学青年科学基金项目.
摘    要:讨论含未知输入的多时滞离散非方奇异系统的观测器设计问题.在两个一般秩的条件下,利用一系列等价变挟,将其转化为一个多时滞正常线性离散系统的观测器设计问题;利用线性矩阵不等式方法,给出了存在一个与系统状态维数相同的观测器的充分条件,并用此观测器对系统的状态和未知输入进行估计.

关 键 词:离散时滞  非方奇异系统  未知输入  观测器  线性矩阵不等式
文章编号:1001-0920(2006)02-0163-04
收稿时间:2005-01-13
修稿时间:2005-05-23

Observer Design for Discrete Time-delay Singular Systems with Unknown Inputs
MA Shu-ping,CHENG Zhao-lin.Observer Design for Discrete Time-delay Singular Systems with Unknown Inputs[J].Control and Decision,2006,21(2):163-166.
Authors:MA Shu-ping  CHENG Zhao-lin
Abstract:The observer design problem for linear discrete multiple delays rectangular singular systems with unknown inputs is discussed. Under two general rank conditions, by using a series of equivalent transformations, the problem is transformed into the observer design problem for standard state-space linear discrete systems with multiple delays. In terms of LMI, a sufficient condition for the existence of an observer whose dimension is the same as the state dimension of the singular system is given, the state and unknown inputs of the system are all estimated by the proposed observer.
Keywords:Discrete time-delay  Rectangular singular system  Unknown input  Observer  Linear matrix inequality
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