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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

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 output reference tracking of systems with high relative degree via output feedback only; this is, tracking where the output derivatives are unknown. To this end, we prove that the conjunction of the funnel pre-compensator with a…

最优化与控制 · 数学 2022-02-15 Lukas Lanza

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 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

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 address the problem of output reference tracking for unknown nonlinear multi-input, multi-output systems with relative degree two and bounded-input bounded-state (BIBS) stable internal dynamics. We propose a novel model-free adaptive…

最优化与控制 · 数学 2025-12-22 D. Dennstädt , J. Schaa , T. 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

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

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

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 exploit a recently developed funnel control methodology for linear non-minimum phase systems to design an output error feedback controller for a nonlinear robotic manipulator, which is not minimum phase. We illustrate the novel control…

最优化与控制 · 数学 2021-03-31 Thomas Berger , Lukas Lanza

In this paper, we present a prescribed performance control framework for trajectory tracking in Euler-Lagrange systems with unknown dynamics and prescribed input constraints. The proposed approach enforces hard funnel constraints, meaning…

机器人学 · 计算机科学 2026-02-18 Ratnangshu Das , Pushpak Jagtap

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

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

系统与控制 · 电气工程与系统科学 2019-12-19 Igor Furtat

We consider tracking control for multi-input multi-output differential-algebraic systems. First, the concept of vector relative degree is generalized for linear systems and we arrive at the novel concept of "truncated vector relative…

最优化与控制 · 数学 2020-01-16 Thomas Berger , Huy Hoàng Lê , Timo Reis

This paper proposes a funnel control method under time-varying hard and soft output constraints. First, an online funnel planning scheme is designed that generates a constraint consistent funnel, which always respects hard (safety)…

系统与控制 · 电气工程与系统科学 2026-03-20 Farhad Mehdifar , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

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

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

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
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