Abstract
In this paper, a continuous-time estimation filtering is developed to incorporate temporary model uncertainty. The infinite memory structure (IMS) estimation filter is applied for the certain system and the finite memory structure (FMS) estimation filter is applied for the temporarily uncertain system, selectively. Therefore, one of two filtered estimates is selected as the valid estimate according to presence or absence of uncertainty. In order to indicate presence or absence of uncertainty and select the valid filtered estimate from IMS and FMS filtered estimates, two test variables and detection rule are defined. Computer simulations show that the proposed continuous-time estimation filter works well for both certain system and temporarily uncertain system.
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References
Grewal, M.S.: Applications of Kalman filtering in aerospace 1960 to the present. IEEE Control Syst. 30(3), 69–78 (2010)
Auger, F., Hilairet, M., Guerrero, J.M., Monmasson, E., Orlowska-Kowalska, T., Katsura, S.: Industrial applications of the Kalman filter: a review. IEEE Trans. Industr. Electron. 60(12), 5458–5471 (2013)
Kim, P.S.: An alternative FIR filter for state estimation in discrete-time systems. Digit. Signal Proc. 20(3), 935–943 (2010)
Zhao, S., Shmaliy, Y.S., Huang, B., Liu, F.: Minimum variance unbiased FIR filter for discrete time-variant systems. Automatica 53(2), 355–361 (2015)
Kim, P.S.: A finite memory structure smoother with recursive form using forgetting factor. Mathematical Problems in Engineering 2017(6), 1–6 (2017)
Kwon, W.H., Kim, P.S., Park, P.: A receding horizon Kalman FIR filter for linear continuous-time systems. IEEE Trans. Autom. Control 44(11), 2115–2120 (1999)
Han, S.H., Kwon, W.H., Kim, P.S.: A receding horizon unbiased FIR filter for continuous-time state space models without a priori initial state information. Digit. Signal Proc. 46(5), 766–770 (2001)
Kim, P.S., Lee, E.H., Jang, M.S., Kang, S.Y.: A finite memory structure filtering for indoor positioning in wireless sensor networks with measurement delay. Int. J. Distrib. Sens. Netw. 13(1), 1–8 (2017)
Kim, P.S.: A design of finite memory residual generation filter for sensor fault detection. Measur. Sci. Rev. 17(2), 75–81 (2017)
Vazquez-Olguin, M., Shmaliy, Y.S., Ibarra-Manzano, O.: Distributed unbiased FIR filtering with average consensus on measurements for WSNs. IEEE Trans. Industr. Inf. 13(3), 1440–1447 (2017)
Kim, P.S.: Two-stage estimation filtering for temporarily uncertain systems. In: Park, J.J.(Jong Hyuk), Jin, H., Jeong, Y.S., Khan, M. (eds.) Advanced Multimedia and Ubiquitous Engineering. LNEE, vol. 393, pp. 303–309. Springer, Singapore (2016). https://doi.org/10.1007/978-981-10-1536-6_40
Acknowledgement
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B03033024).
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Kim, P.S. (2018). Continuous-Time Estimation Filtering with Incorporation of Temporary Model Uncertainty. In: Park, J., Loia, V., Yi, G., Sung, Y. (eds) Advances in Computer Science and Ubiquitous Computing. CUTE CSA 2017 2017. Lecture Notes in Electrical Engineering, vol 474. Springer, Singapore. https://doi.org/10.1007/978-981-10-7605-3_159
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DOI: https://doi.org/10.1007/978-981-10-7605-3_159
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