Adaptive Finite-time and Fixed-time Control Design using Output Stability Conditions

TL;DR

This paper introduces a less restrictive output finite-time and fixed-time stability condition applicable to a broader class of systems, and demonstrates its use in adaptive control design with adjustable parameters.

Contribution

It provides a novel, less restrictive stability condition for output finite-time and fixed-time stability, enhancing adaptive control design methods.

Findings

The stability condition applies to a wider class of systems.

It enables adaptive control with extended state vectors.

The approach improves stability guarantees in control systems.

Abstract

The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive and obtained for a wider class of systems. The presented output stability condition is used for adaptive control design, where the state vector of a plant is extended by adjustable control parameters.