کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
695573 | 890307 | 2013 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: State estimation for Markovian Jump Linear Systems with bounded disturbances State estimation for Markovian Jump Linear Systems with bounded disturbances](/preview/png/695573.png)
In this paper, we investigate the state estimation problem for a class of Markovian Jump Linear Systems (MJLSs) in the presence of bounded polyhedral disturbances. A set-membership estimation algorithm is first proposed to find the smallest consistent set of all possible states, which is shown to be expressed by a union of multiple polytopes. The posterior probabilities of the system jumping modes are then estimated by introducing the Lebesgue measure, based on which the optimal point estimate is further provided. Moreover, a similarity relationship for polytopes is defined and an approximate method is presented to calculate the Minkowski sum of polytopes, which can help reduce the computational complexity of the overall estimation algorithm.
Journal: Automatica - Volume 49, Issue 11, November 2013, Pages 3292–3303