基于P范数的线性时滞系统多胞空间滤波器设计  

Design of P-radius based zonotopic filter for linear time delay systems

作　　者：沈谦逸 王子赟[1,2] 王艳 SHEN Qian-yi;WANG Zi-yun;WANG Yan(School of Internet of Things Engineering,Jiangnan University,Wuxi 214122,China;Engineering Research Center of Internet of Things Technology Applications of Ministry of Education,Jiangnan University,Wuxi 214122,China)

机构地区：[1]江南大学物联网工程学院,江苏无锡214122 [2]江南大学物联网技术应用教育部工程研究中心,江苏无锡214122

出　　处：《控制与决策》2024年第12期4209-4216,共8页Control and Decision

基　　金：江苏省自然科学基金面上项目(BK20221533);国家自然科学基金项目(61973138)。

摘　　要：针对受不确定噪声干扰的线性时滞系统,提出一种基于P范数的时滞系统多胞空间滤波算法.首先,利用多胞体对时滞系统状态可行集作空间表征;随后,根据当前时刻系统状态是否受时滞量的影响,设计基于P范数的系统多胞空间滤波器,通过给定的P范数准则,构造当前时刻系统的多胞空间膨胀优化模型,从而将时滞系统的状态估计问题转换为多胞空间膨胀系数优化问题;进而,利用舒尔补引理和线性矩阵不等式求解该优化问题,并通过多胞空间降维得到状态估计最紧致的多胞体可行集;最后,通过风力发电机系统仿真,验证利用所提出的方法解决线性时滞系统状态估计问题的有效性.For noise uncertainty linear systems with time delay,a P-radius based zonotopic filter for time delay systems is proposed.First,the state feasible set is parameterized by zonotopes.Subsequently,depending on whether the current system state is affected by time delay or not,P-radius based zonotopic filters are designed respectively.By establishing zonotopic space expansion models,the state estimation problem is converted into a parameter optimization problem.Furthermore,by implementing Schur complement lemma,the optimization problem is solved by adopting linear matrix inequalities.Then,by means of dimensionality reduction operation,the tightest feasible set of polyhedron state space is calculated.Finally,a case simulation of a wind turbine system is applied,demonstrating the effectiveness of the proposed algorithm.

关 键 词：时滞系统 滤波器设计 P范数 多胞空间 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]