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Simplex filter: A novel heuristic filter for nonlinear systems state estimation |
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| Affiliation: | 1. Department of Electronics and Communication Engineering, Velammal Engineering College, Chennai, India;2. Department of Electronics Engineering, MIT, Anna University, Chennai, India;1. Izmir Institute of Technology, ?zmir, Turkey;2. Ozyegin University, ?stanbul, Turkey;1. Instituto de Computación, Facultad de Ingeniería, Universidad de la República, Julio Herrera y Reissig 565, 11300 Montevideo, Uruguay;2. Depto. de Lenguajes y Ciencias de la Computación, Univ. de Málaga, E.T.S. Ingeniería Informática, Campus de Teatinos, 29071 Málaga, Spain;1. Department of Chemical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia;2. Duy Tân University, 254 Nguyen Van Linh Road, Da Nang, Viet Nam;3. ICTEAM, Université Catholique de Louvain, 4-6 Avenue G. Lemaître, B-1348 Louvain-La-Neuve, Belgium |
| 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: | State estimation Nonlinear system Nelder-Mead simplex algorithm Simplex filter Heuristic filter |
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