Aerospace Engineering Communications | Volume 1, Issue 1: 36-46, 2026 | DOI: 10.62762/AEC.2025.320719
Abstract
This paper develops a general and implementation friendly stability framework for self-learning control (SLC) laws of the form $u(t)=k_1(t)u(t-\tau)+k_2 v(t)$. Uniform ultimate boundedness is established for a class of general linear plants under two engineering actuator assumptions: (i) smoothness and (ii) saturation with maximum value. These assumptions are reasonable for practical systems and yield an explicit bound, which converts the delay learning mechanism into a nominal (delay-free) controller plus a bounded perturbation injection. The most notable feature of SLC is its simplicity of structure coupled with excellent performance. It is compatible with traditional algorithms and can e... More >
Graphical Abstract