Finite-time Newton seeking control

TL;DR

This paper introduces a finite-time Newton seeking control method for systems with unknown static maps, ensuring rapid convergence to the optimum through an averaged system analysis and practical stability guarantees.

Contribution

It presents a novel finite-time Newton seeking control approach with stability analysis and simulation validation for systems with unknown static maps.

Findings

Achieves finite-time stability of the unknown optimum.

Demonstrates finite-time practical stability through averaging analysis.

Validates effectiveness via simulation study.

Abstract

This paper proposes a finite-time Newton seeking control design for systems described by unknown multivariable static maps. The Newton seeking system has an averaged system that implements a Newton continuous-time algorithm. The averaged Newton seeking system is shown to achieve finite-time stability of the unknown optimum of the static map. An averaging analysis demonstrates that the proposed Newton-seeking achieves finite-time practical stability of the optimum. A simulation study is used to demonstrate the effectiveness of the design method.