【作者】 谢立； 田翔； 陈耀武；

【Author】 Xie Li1,2 Tian Xiang3 Chen Yaowu3(1 Institute of Information and Communication Engineering,Zhejiang University,Hangzhou 310027,China)(2 Zhejiang Provincial Key Laboratory of Integrate Information Network Technology,Hangzhou 310027,China)(3 Institute of Advanced Digital Technologies and Instrumentation,Zhejiang University,Hangzhou 310027,China)

【机构】 浙江大学信息与通信工程研究所； 浙江省综合信息网技术重点实验室； 浙江大学数字技术研究所；

【摘要】 针对一类具有参数不确定性的离散时滞系统,研究了鲁棒H∞弹性滤波器的设计问题.系统中的参数不确定项满足范数有界条件,待设计的弹性滤波器含有乘型滤波增益变化.首先,按照滤波器设计形式构造出滤波误差动态系统.然后,运用Lyapunov稳定性理论,获得满足设计要求的鲁棒H∞弹性滤波器存在的可解性条件,即代入滤波误差动态系统的参数.最后,利用矩阵变换方法,将鲁棒H∞弹性滤波器的设计问题归结为一个线性矩阵不等式(LMI)求解问题;通过求解LMI,获得满足设计要求的鲁棒H∞弹性滤波器参数,使滤波误差动态系统渐近稳定,且满足H∞范数界γ干扰衰减.基于数值实例的仿真结果验证了该弹性滤波器设计方法的有效性.更多还原

【Abstract】 The robust H∞ resilient filtering design for discrete-time delayed systems with parametric uncertainties is investigated.The considered system is assumed to have norm-bounded parameters uncertainties.The resilient filter to be designed has multiplicative filter gain variations.First,the filtering error system is constructed based on the form of robust filter to be designed.Then,the feasible condition for the existence of the robust H∞ resilient filter is obtained based on the Lyapunov stability theory.Finally,the robust H∞ resilient filtering design problem can be represented as a linear matrix inequality(LMI) with the parameters of filtering error system using the matrix transformation methods.The parameters of the filter can be obtained by solving the LMI to guarantee the filtering error systems asymptotic stable and satisfy H∞-norm bound γ disturbance attenuation.The simulation results based on a numerical example illustrates the validity of this method.更多还原