Adaptive Systems with Closed-loop Reference Models: Stability, Robustness and Transient Performance

TL;DR

This paper presents new adaptive control strategies with closed-loop reference models that enhance stability and transient performance, supported by theoretical analysis and numerical validation.

Contribution

It introduces novel adaptive controllers leveraging closed-loop reference models to improve stability and transient response, with comprehensive theoretical and numerical validation.

Findings

Controllers are proven to be stable.

Transient performance is significantly improved.

Numerical studies support theoretical results.

Abstract

This paper explores the properties of adaptive systems with closed-loop reference models. Using additional design freedom available in closed-loop reference models, we design new adaptive controllers that are (a) stable, and (b) have improved transient properties. Numerical studies that complement theoretical derivations are also reported.