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一类不确定线性离散时间系统的鲁棒H_2滤波

Robust H_2 Filtering for a Class of Uncertain Linear Discrete-Time Systems
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摘要 研究凸多面体不确定线性离散时间系统的鲁棒H2滤波问题。借助于线性矩阵不等式(LMI)技术,提出了一种新的扩展离散时间系统H2性能准则,在此基础上,推导出放宽的鲁棒H2滤波器存在的充分条件,能够为滤波器的设计提供更多的自由度。理论分析和仿真结果表明,与现有方法相比,该方法具有较低的保守性。 The robust H2 filtering problem for linear discrete-time systems with polytopic uncertainty was investigated. By using linear matrix inequality (LMI) technique, a new extended H2 performance criterion for discrete-time systems was established. Based on this, a relaxed sufficient condition for the existence of robust H2 filter was derived, which provides additional degrees of design freedom. Both theory analysis and simulation results show that the proposed approach is less conservative as compared with the existing design methods.
出处 《兵工学报》 EI CAS CSCD 北大核心 2008年第1期121-125,共5页 Acta Armamentarii
关键词 自动控制技术 鲁棒滤波 H2滤波 线性离散时间系统 参数相关Lyapunov函数 线性矩阵不等式 automatic control technique robust filtering H2 filtering linear discrete-time system parameter-dependent Lyapunov function linear matrix inequality
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参考文献6

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