Funnel control with input filter for nonlinear systems with arbitrary relative degree

TL;DR

This paper introduces a derivative-free funnel control method for nonlinear MIMO systems with arbitrary relative degree, ensuring prescribed transient performance without output differentiation.

Contribution

It presents a novel extension of funnel control using filter variables to estimate derivatives, simplifying tuning and avoiding direct differentiation of outputs.

Findings

Ensures tracking error remains within prescribed bounds.

Avoids differentiation of output signals.

Demonstrated effectiveness through a numerical example.

Abstract

This paper addresses output reference tracking with prescribed transient performance for unknown nonlinear multi-input multi-output systems with arbitrary relative degree. We propose a novel derivative-free extension of funnel control based on a collection of filter variables that estimate the output derivatives. The resulting controller ensures that the tracking error evolves within prescribed performance bounds, while avoiding differentiation of the output signal and maintaining a simple structure with only a small number of tuning parameters. The effectiveness of the proposed approach is illustrated by a numerical example.