Probabilistic Sufficient Conditions for Prediction-Based Stabilization of Linear Systems With Random Input Delay

• Published in: IEEE control systems letters Vol. 6; pp. 2270 - 2275
• Main Authors: Kong, Sijia, Bresch-Pietri, Delphine
• Format: Journal Article
• Language: English
• Published: IEEE 2022
• Subjects: Automatic; Backstepping; Delay systems; Delays; distributed parameter systems; Engineering Sciences; Linear systems; Markov processes; prediction-based controller; Probabilistic logic; Stability analysis; distributed parameter systems; Delay systems; prediction-based controller; Delay systems prediction-based controller distributed parameter systems
• ISSN: 2475-1456; 2475-1456
• DOI: 10.1109/LCSYS.2022.3141495

This letter focuses on the prediction-based stabilization of a linear system subject to a random input delay. Modeling the delay as a finite-state Markov process, it proves that a constant time-horizon prediction enables robust compensation of the delay, provided the horizon prediction is sufficient...