English

Stability Margins of $\mathcal{L}_1$ Adaptive Controller: Part II

Optimization and Control 2016-09-07 v1

Abstract

In Part I of this paper, we have developed a novel L1\mathcal{L}_1 adaptive control architecture that enables fast adaptation and leads to uniformly bounded transient and asymptotic tracking for system's both signals, input and output, simultaneously. In this paper, we derive the stability margins of L1\mathcal{L}_1 adaptive control architecture, including time-delay and gain margins in the presence of time-varying bounded disturbance. Simulations verify the theoretical findings.

Keywords

Cite

@article{arxiv.math/0608394,
  title  = {Stability Margins of $\mathcal{L}_1$ Adaptive Controller: Part II},
  author = {Chengyu Cao and Naira Hovakimyan},
  journal= {arXiv preprint arXiv:math/0608394},
  year   = {2016}
}
R2 v1 2026-07-22T17:40:45.866Z