摘要
研究一类线性离散时变系统的故障估计问题.首先,通过引入一种规则化最小二乘标准来作为故障估计问题的性能指标;进而,应用最小二乘固定滞后平滑算法,得到了估计问题可解的充要条件,给出了故障和状态的一步滞后平滑估计器和两步滞后平滑估计器.算例验证了本文所提方法的有效性.
This paper addresses the fault estimation problem for linear discrete time--varying systems. First, a regularized least--squares criterion is introduced as a performance index of the fault estimation problem. Moreover, by applying the least--squares fixed--lag smoothing algorithm, a sufficient and nec- essary condition on the existence of the fault estimator is derived. Simultaneously, the simultaneous state and fault estimator is obtained if the solvable conditions are satisfied. Finally, a numerical example is pres- ented to illustrate the proposed method.
出处
《德州学院学报》
2013年第6期63-68,共6页
Journal of Dezhou University
关键词
线性离散时变系统
故障估计
规则化最小二乘
固定滞后平滑
linear discrete time-- varying systems
fault estimation
regularized least-- squares
fixed-- lag smoothing
