Floquet-Based Periodic Matrix Reconstruction in Discrete-Time LTP Systems Ayrik Zamanli LTP Sistemlerde Floquet Tabanli Periyodik Matris Yeniden Yapilandirmasi
34th Signal Processing and Communications Applications Conference, SIU 2026, İstanbul, Türkiye, 7 - 10 Temmuz 2026, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Doi Numarası: 10.1109/siu71813.2026.11637048
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Anahtar Kelimeler: Control algorithms, Floquet theory, least-squares estimation, linear time-periodic systems, signal processing for autonomous systems
- Hacettepe Üniversitesi Adresli: Evet
Özet
This paper investigates Floquet-based periodic matrix reconstruction for discrete-time linear time-periodic (LTP) systems. The constant Floquet state matrix is obtained from the P-th root of the monodromy matrix using the Schur-Padé algorithm. Given this matrix, two approaches are considered to reconstruct the periodic input and output matrices. The first approach (Naive) constructs periodic coordinate transforms algebraically, whereas the second approach (Least Squares - LS) estimates the periodic matrices directly from data via phase-wise linear regression. The methods are evaluated through an extensive Monte Carlo study over varying system orders and period lengths using success rate and normalised RMSE metrics.