Abstract
This brief proposes a new finite-impulse response (FIR) receding-horizon filter for discrete-time linear systems in state space. A solution has l2-l∞ performance with the embedded deadbeat property and is called the FIR l2-l∞ filter (FIRllF). Based on the linear matrix inequality (LMI) and linear matrix equality (LME) formulations, a sufficient condition is found such that the FIRllF ascertains the guaranteed l2-l∞ performance with the deadbeat property. Using this result, we further obtain a new LMI condition for the existence of the FIRllF without using the LME. Through a numerical example, the proposed FIRllF is shown to be more robust against unexpected uncertainties than the existing l2-l∞ filter.
| Original language | English |
|---|---|
| Article number | 7453192 |
| Pages (from-to) | 211-215 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Circuits and Systems II: Express Briefs |
| Volume | 64 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2017 Feb 1 |
Keywords
- finite-impulse response (FIR)
- l-l filter (llF)
- Terms-Deadbeat property
ASJC Scopus subject areas
- Electrical and Electronic Engineering
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Ahn, C. K., Shmaliy, Y. S., Shi, P., & Zhao, Y. (2017). Receding-Horizon l2-l∞ FIR filter with embedded deadbeat property. IEEE Transactions on Circuits and Systems II: Express Briefs, 64(2), 211-215. [7453192]. https://doi.org/10.1109/TCSII.2016.2555038