A Tighter Set-Membership Filter for Some Nonlinear Dynamic Systems

In this paper, we propose a tighter set-membership filter for some nonlinear dynamic systems by using an analytic method and a boundary sampling technique. The nonlinear dynamic systems can be linearized about the current estimate, then the remainder term is bounded in real time by an optimization e...

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Bibliographic Details
Published in:IEEE access 2018-01, Vol.6, p.25351-25362
Main Authors: Wang, Zhiguo, Shen, Xiaojing, Zhu, Yunmin, Pan, Jianxin
Format: Article
Language:English
Subjects:
Dynamical systems
Ellipsoids
Noise measurement
Nonlinear dynamic systems
Nonlinear dynamical systems
Nonlinear dynamics
Nonlinear systems
Optimization
Radar equipment
randomization
Real-time systems
semi-infinite optimization
set-membership filter
Symmetric matrices
target tracking
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Summary:In this paper, we propose a tighter set-membership filter for some nonlinear dynamic systems by using an analytic method and a boundary sampling technique. The nonlinear dynamic systems can be linearized about the current estimate, then the remainder term is bounded in real time by an optimization ellipsoid, other than a priori remainder bound. For a 2-D radar system and a quadratic system, some regular properties can be derived for the remainder term, which helps us obtain a tighter bounding ellipsoid to cover the remainder. Moreover, the prediction step and the measurement update step are derived based on the recent optimization method and the on-line bounding ellipsoid of the remainder, so that a tighter set-membership filter can be achieved. The numerical examples demonstrate the effectiveness of the proposed filter.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2018.2830350