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Simplex filter: A novel heuristic filter for nonlinear systems state estimation
Nobahari, H ; Sharif University of Technology | 2016
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- Type of Document: Article
- DOI: 10.1016/j.asoc.2016.08.008
- Publisher: Elsevier Ltd , 2016
- Abstract:
- This paper introduces a new filter for nonlinear systems state estimation. The new filter formulates the state estimation problem as a stochastic dynamic optimization problem and utilizes a new stochastic method based on simplex technique to find and track the best estimation. The vertices of the simplex search the state space dynamically in a similar scheme to the optimization algorithm, known as Nelder-Mead simplex. The parameters of the proposed filter are tuned, using an information visualization technique to identify the optimal region of the parameters space. The visualization is performed using the concept of parallel coordinates. The proposed filter is applied to estimate the state of some nonlinear dynamic systems with noisy measurement and its performance is compared with other filters
- Keywords:
- Nelder-Mead simplex algorithm ; Nonlinear system ; Algorithms ; Bandpass filters ; Dynamical systems ; Information systems ; Linear programming ; Nonlinear analysis ; Nonlinear dynamical systems ; Nonlinear systems ; State estimation ; Stochastic systems ; Visualization ; Heuristic filters ; Information visualization ; Nelder-mead simplex algorithms ; Non-linear systems state estimations ; Optimization algorithms ; Parallel coordinates ; Simplex filter ; Stochastic dynamics ; Optimization
- Source: Applied Soft Computing Journal ; Volume 49 , 2016 , Pages 474-484 ; 15684946 (ISSN)
- URL: http://www.sciencedirect.com/science/article/pii/S1568494616304021?via%3Dihub
