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Continuous-Time Estimation Filtering with Incorporation of Temporary Model Uncertainty

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Advances in Computer Science and Ubiquitous Computing (CUTE 2017, CSA 2017)

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

  1. Grewal, M.S.: Applications of Kalman filtering in aerospace 1960 to the present. IEEE Control Syst. 30(3), 69–78 (2010)

    Article  MathSciNet  Google Scholar 

  2. 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)

    Article  Google Scholar 

  3. Kim, P.S.: An alternative FIR filter for state estimation in discrete-time systems. Digit. Signal Proc. 20(3), 935–943 (2010)

    Article  Google Scholar 

  4. 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)

    Article  MathSciNet  Google Scholar 

  5. Kim, P.S.: A finite memory structure smoother with recursive form using forgetting factor. Mathematical Problems in Engineering 2017(6), 1–6 (2017)

    MathSciNet  Google Scholar 

  6. 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)

    Article  MathSciNet  Google Scholar 

  7. 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)

    MathSciNet  MATH  Google Scholar 

  8. 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)

    Google Scholar 

  9. Kim, P.S.: A design of finite memory residual generation filter for sensor fault detection. Measur. Sci. Rev. 17(2), 75–81 (2017)

    Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. 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

    Chapter  Google Scholar 

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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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Correspondence to Pyung Soo Kim .

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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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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7604-6

  • Online ISBN: 978-981-10-7605-3

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