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Robust H-infinity Filtering for Discrete-Time Markov Jump Linear System with Missing Measurements

机译:缺失测量的离散时间马尔可夫跳跃线性系统的鲁棒H无限滤波

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摘要

The problem of robust H-infinity filtering is investigated for discrete-time Markov jump linear system (DMJLS) with uncertain parameters and missing measurements. The missing measurements process is modelled as a Bernoulli distributed sequence. A robust H-infinity filter is designed and sufficient conditions are established in terms of linear matrix inequalities via a mode-dependent Lyapunov function approach, such that, for all admissible uncertain parameters and missing measurements, the resulting filtering error system is robustly stochastically stable and a guaranteed H-infinity performance constraint is achieved. Furthermore, the optimal H-infinity performance index is subsequently obtained by solving a convex optimisation problem and the missing measurements effects on the H-infinity performance are evaluated. A numerical example is given to illustrate the feasibility and effectiveness of the proposed filter.
机译:研究了参数不确定,测量值缺失的离散时间马尔可夫跳跃线性系统(DMJLS)的鲁棒H无限滤波问题。缺失的测量过程被建模为伯努利分布序列。设计了鲁棒的H-∞滤波器,并通过依赖于模式的Lyapunov函数方法在线性矩阵不等式方面建立了充分的条件,这样,对于所有允许的不确定参数和丢失的测量,所得的滤波误差系统都是随机稳定的,并且保证了H无穷大性能约束。此外,随后通过解决凸优化问题来获得最佳H-无穷大性能指标,并评估缺失的测量对H-无穷大性能的影响。数值例子说明了该滤波器的可行性和有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第9期|671491.1-671491.9|共9页
  • 作者单位

    Tsinghua Natl Lab Informat Sci & Technol TNList, Beijing 100084, Peoples R China.;

    Tsinghua Natl Lab Informat Sci & Technol TNList, Beijing 100084, Peoples R China.;

    Tsinghua Natl Lab Informat Sci & Technol TNList, Beijing 100084, Peoples R China.;

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