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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

We consider funnel control for linear infinite-dimensional systems that are impedance passive, meaning that they satisfy an energy balance in which the stored energy equals the squared norm of the state and the supplied power is the inner…

最优化与控制 · 数学 2025-10-02 Thavamani Govindaraj , Anthony Hastir , Lassi Paunonen , Timo Reis

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 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

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 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 a nonlinear moving water tank system modelled by the linearized Saint-Venant equations, where the output is given by the position of the tank and the control input is the force acting on it. For a given…

最优化与控制 · 数学 2022-03-09 Thomas Berger , Marc Puche , 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 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

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 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

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

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

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

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

In real-world control applications, actuator constraints and output constraints (specifically in tracking problems) are inherent and critical to ensuring safe and reliable operation. However, generally, control strategies often neglect…

系统与控制 · 电气工程与系统科学 2025-04-17 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

最优化与控制 · 数学 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

We investigate optimal control of dynamical systems which are affine, i.e., linear in control, but nonlinear in state. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible, a task…

最优化与控制 · 数学 2016-04-06 Jakob Löber

In this paper, we focus on recovery control of nonlinear systems from attacks or failures. The main challenges of this problem lie in (1) learning the unknown dynamics caused by attacks or failures with formal guarantees, and (2) finding…

系统与控制 · 电气工程与系统科学 2025-11-07 Zihao Song , Shirantha Welikala , Panos J. Antsaklis , Hai Lin

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
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