English

An improved input-constrained funnel controller for nonlinear systems

Optimization and Control 2026-04-29 v2

Abstract

We present an improvement of a recent funnel controller design for uncertain nonlinear multi-input, multi-output systems modeled by higher order functional differential equations in the presence of input constraints. The objective is to guarantee the evolution of the tracking error within a performance funnel with prescribed desired shape for the case of inactive saturation. Compared to its precursor, controller complexity is significantly reduced, much fewer design parameters are involved and simulations exhibit a superior performance.

Keywords

Cite

@article{arxiv.2506.18417,
  title  = {An improved input-constrained funnel controller for nonlinear systems},
  author = {Thomas Berger},
  journal= {arXiv preprint arXiv:2506.18417},
  year   = {2026}
}
R2 v1 2026-07-01T03:29:03.067Z