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, vol.49, no.3, pp.536-544, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 49 Issue: 3
- Publication Date: 2026
- Doi Number: 10.1109/icjece.2026.3707925
- Journal Name: IEEE Canadian Journal of Electrical and Computer Engineering
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.536-544
- Keywords: Controller synthesis, L∞-norm, linear matrix inequalities (LMIs), stability, time-varying delay
- Middle East Technical University Affiliated: Yes
Abstract
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.