摘要
该文主要研究了一类具有时变时滞的离散时间切换奇异系统在正性约束下的l_(1)滤波器的设计问题.通过构造合适的共正Lyapunov函数并且利用平均驻留时间的方法,以线性规划的形式给出使得相应的滤波误差系统是正的、正则的、因果的、指数稳定的充分条件.另外,外部扰动输入对系统性能的影响也被加以分析和讨论,并在稳定性的基础上进一步给出滤波误差系统具有给定l_(1)增益性能的充分条件和相应滤波器的设计方法.最后,通过数值算例来验证所给方法的有效性和可行性.
The design problem of l_(1) filters was studied for a class of discrete-time switched singular systems with positive constraints and time-varying delays.Through construction of an appropriate co-positive Lyapunov function and with the average dwell time technique,sufficient conditions in the form of linear programming were provided to ensure the corresponding filtering error system to be positive,regular,causal and exponentially stable.In addition,the effect of the exogenous disturbance input on the system performance was also analyzed and discussed.The sufficient conditions and design mechanisms for the corresponding filter to ensure that the filtering error system has the prescribed l_(1) disturbance attenuation performance were also given.Finally,a simulation example was provided to verify the effectiveness and feasibility of the proposed method.
作者
王金玲
侯玉晓
李强
谢宝英
WANG Jinling;HOU Yuxiao;LI Qiang;XIE Baoying(School of Science,Anhui Agricultural University,Hefei 230036,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2023年第7期857-869,共13页
Applied Mathematics and Mechanics
基金
国家自然科学基金项目(62003002)
安徽省自然科学基金项目(2008085QF327)。
关键词
时变时滞
切换奇异系统
正系统
平均驻留时间
指数稳定性
滤波器设计
time-varying delay
switched singular system
positive system
average dwell time
exponential stability
filter design
