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We address the problem of output reference tracking for unknown non-linear multi-input, multi-output systems described by functional differential equations. This class of systems includes those with a strict relative degree, and…

最优化与控制 · 数学 2025-05-26 Dario Dennstädt

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…

最优化与控制 · 数学 2026-05-20 Janina Schaa , Thomas Berger

We study tracking control for uncertain nonlinear multi-input, multi-output systems modelled by $r$-th order functional differential equations (encompassing systems with arbitrary strict relative degree) in the presence of input…

最优化与控制 · 数学 2023-04-18 Thomas Berger

An adaptive funnel control method is considered for the regulation of the output for a class of nonlinear infinite-dimensional systems on real Hilbert spaces. After a decomposition of the state space and some change of variables related to…

最优化与控制 · 数学 2022-04-06 Anthony Hastir , Joseph J. Winkin , Denis Dochain

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…

最优化与控制 · 数学 2026-04-29 Thomas Berger

Tracking of reference signals is addressed in the context of a class of nonlinear controlled systems modelled by $r$-th order functional differential equations, encompassing inter alia systems with unknown "control direction" and dead-zone…

最优化与控制 · 数学 2021-01-18 Thomas Berger , Achim Ilchmann , Eugene P Ryan

We consider tracking control for uncertain linear systems with known relative degree which are possibly non-minimum phase, i.e., their zero dynamics may have an unstable part. For a given sufficiently smooth reference signal we design a…

最优化与控制 · 数学 2020-02-05 Thomas Berger

We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop…

最优化与控制 · 数学 2022-03-09 Marc Puche , Timo Reis , Felix Schwenninger

Funnel control achieves output tracking with guaranteed tracking performance for unknown systems and arbitrary reference signals. In particular, the tracking error is guaranteed to satisfy time-varying error bounds for all times (it evolves…

最优化与控制 · 数学 2024-03-29 Thomas Berger , Christoph M. Hackl , Stephan Trenn

We study adaptive fault tolerant tracking control for uncertain linear systems. Based on recent results in funnel control and the time-varying Byrnes-Isidori form, we develop a low-complexity model-free controller which achieves prescribed…

最优化与控制 · 数学 2019-12-05 Thomas Berger

This paper proposes a novel control framework for handling (potentially coupled) multiple time-varying output constraints for uncertain nonlinear systems. First, it is shown that the satisfaction of multiple output constraints boils down to…

系统与控制 · 电气工程与系统科学 2025-01-08 Farhad Mehdifar , Lars Lindemann , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

We consider output trajectory tracking for a class of uncertain nonlinear systems whose internal dynamics may be modelled by infinite-dimensional systems which are bounded-input, bounded-output stable. We describe under which conditions…

最优化与控制 · 数学 2019-12-06 Thomas Berger , Marc Puche , Felix Schwenninger

We propose a novel sampled-data output-feedback controller for nonlinear systems of arbitrary relative degree that ensures reference tracking within prescribed error bounds. We provide explicit bounds on the maximum input signal and the…

Output reference tracking of unknown nonlinear systems is considered. The control objective is exact tracking in predefined finite time, while in the transient phase the tracking error evolves within a prescribed boundary. To achieve this,…

最优化与控制 · 数学 2024-08-29 Lukas Lanza

We study tracking control for nonlinear systems with known relative degree and stable internal dynamics by the recently introduced technique of Funnel MPC. The objective is to achieve the evolution of the tracking error within a prescribed…

最优化与控制 · 数学 2022-05-26 Thomas Berger , Dario Dennstädt

We exploit an adaptive control technique, namely funnel control, in order to establish both initial and recursive feasibility in Model Predictive Control (MPC) for output-constrained nonlinear systems. Moreover, we show that the resulting…

最优化与控制 · 数学 2019-12-05 Thomas Berger , Carolin Kästner , Karl Worthmann

We consider tracking control of linear minimum phase systems with known arbitrary relative degree which are subject to possible output measurement losses. We provide a control law which guarantees the evolution of the tracking error within…

最优化与控制 · 数学 2023-09-28 Thomas Berger , Lukas Lanza

In this paper, we present a data-driven output feedback controller for nonlinear systems that achieves practical output regulation, using noise-free input/output measurement data. The proposed controller is based on (i) an inverse model of…

系统与控制 · 电气工程与系统科学 2026-03-12 Yeongjun Jang , Hamin Chang , Heein Park , Hyeonyeong Jang , Takashi Tanaka , Hyungbo Shim

The Model Predictive Control (MPC) scheme Funnel MPC enables output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems with stable internal dynamics. Earlier works achieved the…

最优化与控制 · 数学 2024-03-12 Thomas Berger , Dario Dennstädt

Funnel MPC, a novel Model Predictive Control (MPC) scheme, allows guaranteed output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems. To this end, the stage cost resembles the…

最优化与控制 · 数学 2022-03-01 Dario Dennstädt
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