Induced L∞-Norm Bounded Stability of Linear Systems With Time-Varying Delay and Application to DC Motor Control Stabilité bornée en norme induite des systèmeslinéaires à retard variable dans le temps etapplication à la commande d’un moteurà courant continu
IEEE Canadian Journal of Electrical and Computer Engineering, cilt.49, sa.3, ss.536-544, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.1109/icjece.2026.3707925
- Dergi Adı: IEEE Canadian Journal of Electrical and Computer Engineering
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.536-544
- Anahtar Kelimeler: Controller synthesis, L∞-norm, linear matrix inequalities (LMIs), stability, time-varying delay
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
This article develops a controller-synthesis method for induced L∞-norm bounded stability of time-delay systems under disturbances. First, a general sufficient bounded-stability condition is derived using a Lyapunov–Krasovskii functional. Next, this condition is specialized to linear systems with time-varying input delay and expressed as linear matrix inequalities (LMIs) for state-feedback controller synthesis. The applicability of the proposed framework is illustrated through a DC motor control example with various input/output configurations. In addition, comparative results are provided for constant-delay, time-varying-delay, and delay-free controller designs, including a comparison with an H∞-based controller.