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The key innovation of our analytical method, CaRT, lies in establishing a new hierarchical, distributed architecture to guarantee the safety and robustness of a given learning-based motion planning policy. First, in a nominal setting, the…

Robotics · Computer Science 2023-08-15 Hiroyasu Tsukamoto , Benjamin Rivière , Changrak Choi , Amir Rahmani , Soon-Jo Chung

Many robotic systems must follow planned paths yet pause safely and resume when people or objects intervene. We present an output-space method for systems whose tracked output can be feedback-linearized to a double integrator (e.g.,…

Robotics · Computer Science 2025-09-18 Hossein Gholampour , Logan E. Beaver

Tracking specific targets, such as pedestrians and vehicles, has been the focus of recent vision-based multitarget tracking studies. However, in some real-world scenarios, unseen categories often challenge existing methods due to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Zewei Wu , Longhao Wang , Cui Wang , César Teixeira , Wei Ke , Zhang Xiong

With the advantages of high modeling accuracy and large bandwidth, recurrent neural network (RNN) based inversion model control has been proposed for output tracking. However, some issues still need to be addressed when using the RNN-based…

Systems and Control · Electrical Eng. & Systems 2020-01-03 Shengwen Xie , Juan Ren

As a powerful technique in generative modeling, Flow Matching (FM) aims to learn velocity fields from noise to data, which is often explained and implemented as solving Optimal Transport (OT) problems. In this study, we bridge FM and the…

Machine Learning · Computer Science 2025-12-23 Angxiao Yue , Anqi Dong , Hongteng Xu

Quantum optimal control theory (QOCT) aims at finding an external field that drives a quantum system in such a way that optimally achieves some predefined target. In practice this normally means optimizing the value of some observable, a so…

Quantum Physics · Physics 2011-09-19 Alberto Castro , I. V. Tokatly

This paper gives an overview of the control of distributed-parameter systems using normal forms. Considering linear controllable PDE-ODE systems of hyperbolic type, two methods derive tracking controllers by mapping the system into a form…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Nicole Gehring , Abdurrahman Irscheid , Joachim Deutscher , Frank Woittennek , Joachim Rudolph

We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

This paper studies optimal trajectory-tracking for driftless, x-flat nonlinear systems with three states and two inputs. The tracking problem is formulated in Bolza form with a quadratic cost of the tracking error and its derivative.…

Optimization and Control · Mathematics 2026-04-07 Raphael Buchinger , Georg Hartl , Lukas Ecker , Markus Schöberl

Stability and stabilization analysis of fractional-order linear time-invariant (FO-LTI) systems with different derivative orders is studied in this paper. First, by using an appropriate linear matrix function, a single-order equivalent…

Systems and Control · Computer Science 2018-08-30 Pouya Badri , Mahdi Sojoodi

Accurate tracking of planned trajectories in the presence of perturbations is an important problem in control and robotics. Symmetry is a fundamental mathematical feature of many dynamical systems and exploiting this property offers the…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Matthew Hampsey , Pieter van Goor , Robert Mahony

In this paper, we prove that the dynamical model of a quadrotor subject to linear rotor drag effects is differentially flat in its position and heading. We use this property to compute feed-forward control terms directly from a reference…

Robotics · Computer Science 2018-03-29 Matthias Faessler , Antonio Franchi , Davide Scaramuzza

Trajectory optimization is a powerful tool for robot motion planning and control. State-of-the-art general-purpose nonlinear programming solvers are versatile, handle constraints effectively and provide a high numerical robustness, but they…

Optimization and Control · Mathematics 2023-07-31 Lander Vanroye , Ajay Sathya , Joris De Schutter , Wilm Decré

This paper addresses the problem of consensus tracking with fixed-time convergence, for leader-follower multi-agent systems with double-integrator dynamics, where only a subset of followers has access to the state of the leader. The control…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Miguel A. Trujillo , Rodrigo Aldana-López , David Gomez Gutierrez , Michael Defoort , Javier Ruiz Leon , Hector M. Becerra

The paper presents an approach to flatness-based control design for hyperbolic multi-input systems, building upon the hyperbolic controller form (HCF). The transformation into HCF yields a simplified system representation that considerably…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Simon Schmidt , Nicole Gehring , Abdurrahman Irscheid

Target output controllers aim at regulating a system's target outputs by placing poles of a suitable subsystem using partial state feedback, where full state controllability is not required. This paper establishes existence conditions for…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Yuan Zhang , Wenxuan Xu , Mohamed Darouach , Tyrone Fernando

Accurate trajectory tracking control for quadrotors is essential for safe navigation in cluttered environments. However, this is challenging in agile flights due to nonlinear dynamics, complex aerodynamic effects, and actuation constraints.…

Robotics · Computer Science 2024-01-05 Sihao Sun , Angel Romero , Philipp Foehn , Elia Kaufmann , Davide Scaramuzza

In this article we show how the model predictive path following controller allows robotic manipulators to stop at obstructions in a way that model predictive trajectory tracking controllers cannot. We present both controllers as applied to…

Robotics · Computer Science 2017-03-08 Mathias Hauan Arbo , Esten Ingar Grøtli , Jan Tommy Gravdahl

Kernelized Correlation Filter (KCF) is one of the state-of-the-art object trackers. However, it does not reasonably model the distribution of correlation response during tracking process, which might cause the drifting problem, especially…

Computer Vision and Pattern Recognition · Computer Science 2016-12-19 Baochang Zhang , Zhigang Li , Xianbin Cao , Qixiang Ye , Chen Chen , Linlin Shen , Alessandro Perina , Rongrong Ji

The paper addresses the exact linearization of flat nonlinear discrete-time systems by generalized static or dynamic feedbacks which may also depend on forward-shifts of the new input. We first investigate the question which forward-shifts…

Optimization and Control · Mathematics 2022-12-29 Bernd Kolar , Johannes Diwold , Conrad Gstöttner , Markus Schöberl