Dual-Mode deadbeat H2 FIR filtering for discrete-Time systems

• Published in: Signal processing Vol. 184
• Main Authors: Pak, Jung Min, Ahn, Choon Ki
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.07.2021
• Subjects: [formula omitted] Filter; Dual-mode deadbeat [formula omitted] FIR filter; FIR Filter; Receding horizon; State estimation; H2 Filter; State estimation; Dual-mode deadbeat H2 FIR filter; FIR Filter; Receding horizon
• DOI: 10.1016/j.sigpro.2021.108057
• ISSN: 0165-1684

•A discrete-time finite impulse response filter based on H2 criterion is proposed.•The H2 FIR filter’s gain is obtained using the linear matrix inequality approach.•A dual-mode switching method to deal with the horizon size is proposed.•The proposed H2 FIR filter has robustness against temporary model uncertainty.•The dual-mode switching method is effective in the H2 FIR filtering. A new receding horizon (RH) finite impulse response (FIR) filter called the dual-mode deadbeat H2 FIR filter (DMDH2FF) is proposed for state estimation in discrete linear time-invariant (LTI) systems under external disturbances. The DMDH2FF is derived to minimize the H2 norm subject to the deadbeat condition in the disturbance-to-estimate channel, and it can manage the horizon size in two operation modes. The DMDH2FF has better robustness against temporary model uncertainty compared with a conventional H2 infinite impulse response filter. The performance of the DMDH2FF is demonstrated by an F-404 turbofan engine simulation.