Hankel-Norm Approach to Robust FIR Estimation of Dynamic Systems under External Disturbances

Choon Ki Ahn, Yuriy S. Shmaliy, Shunyi Zhao

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We propose and develop a new Hankel-norm approach to the robust receding horizon (RH) finite impulse response (FIR) filter design in discrete-time state space under intensive external disturbances. A new condition is developed for the RH Hankel-norm FIR filter (HNFF) design based on the linear matrix inequality and an equality constraint. The proposed RH HNFF ensures unwanted memory reduction and reduces the effect of memory on errors caused by past disturbances. Another condition is also examined to avoid using the equality constraint. The approach is tested and compared with existing filters based on a numerical example to verify its high robustness against unpredictable model changes for an F-404 turbofan engine system model. An experimental study on the one-degree-of-freedom torsion system is also provided to demonstrate its validity.

Original languageEnglish
Article number8403279
Pages (from-to)1973-1980
Number of pages8
JournalIEEE/ASME Transactions on Mechatronics
Issue number4
Publication statusPublished - 2018 Aug

Bibliographical note

Funding Information:
Manuscript received February 20, 2017; revised September 17, 2017 and January 11, 2018; accepted June 25, 2018. Date of publication July 4, 2018; date of current version August 14, 2018. Recommended by Technical Editor M. O. Efe. This work was supported in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325 and in part by the 111 Project (B12018). (Corresponding authors: Choon Ki Ahn and Shunyi Zhao.) C. K. Ahn is with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: hironaka@korea.ac.kr).

Publisher Copyright:
© 1996-2012 IEEE.


  • Deadbeat property
  • filtering
  • finite impulse response
  • hankel norm
  • receding horizon
  • robustness

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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