时滞不确定离散系统的鲁棒l_2-l_∞滤波(英文)  

Robust l_2-l_∞ Filter Design for Uncertain Discrete-Time State-Delayed Systems

作　　者：高会军[1] 王常虹[1] 李艳辉[1] 

机构地区：[1]哈尔滨工业大学惯性导航测试设备研究中心,哈尔滨150001

出　　处：《自动化学报》2003年第5期666-672,共7页Acta Automatica Sinica

基　　金：SupportedbyNationalNaturalScienceFoundationofP .R .China (6 9874 0 0 8)

摘　　要：将l2 -l∞ 性能指标引入时滞不确定离散时间系统 ,研究基于这一指标的滤波器设计问题 .所研究的对象是同时具有状态时滞和多面体不确定性的离散时间系统 .采用线性矩阵不等式技术推导了此类不确定系统鲁棒l2 -l∞ 滤波器存在的充分条件 ,并将滤波器的设计转化为一个凸优化的求解问题 ,可以采用较为有效的内点方法进行求解 .所设计的滤波器能够保证相对于所有能量有界的外界扰动信号 ,滤波误差系统具有一定的l2 -l∞ 扰动衰减水平 .数值仿真验证了所提出算法的可行性 .This paper is concerned with the problem of full-order robust l_ 2 - l_ ∞ filtering for uncertain discrete-time systems with a single delay in the state. The uncertain parameters are supposed to belong to a given convex bounded polyhedral domain, entering into all the matrices of the system state-space model. Sufficient conditions are established in terms of linear matrix inequalities for the existence of filters guaranteeing a prescribed energy-to-peak disturbance attenuation level for all possible uncertainties and time delays. And the admissible filter can be found by solving a convex optimization problem with global convergence assured. A numerical example demonstrates the validity of the proposed filter design procedure.

关 键 词：时滞不确定离散系统 鲁棒L2-L∞滤波 线性矩阵不等式 滤波器 

分 类 号：TN713[电子电信—电路与系统]