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Further Results on Induced $l_\infty$ RH FIR Filtering
The first results on the induced ${l_\infty }$ receding horizon (RH) finite impulse response (FIR) filtering were obtained by Ahn for a nonsingular system matrix without consideration of external control… Click to show full abstract
The first results on the induced ${l_\infty }$ receding horizon (RH) finite impulse response (FIR) filtering were obtained by Ahn for a nonsingular system matrix without consideration of external control input, which limited the area of applications. This brief discusses a new design condition for the induced ${l_\infty }$ RH FIR filter applied to model with an arbitrary system matrix and external control input. Based upon this result, a correspondence is found between the induced ${l_\infty }$ RH FIR filter and the ${H_\infty }$ RH FIR filter. Higher robustness of the proposed filter against uncertainties in the system matrix is shown in a comparison with the existing induced ${l_\infty }$ RH filter, which has an infinite impulse response.
