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Computing stabilizing and optimal control actions for legged locomotion in real time is difficult due to the nonlinear, hybrid, and high dimensional nature of these robots. The hybrid nature of the system introduces a combination of…

Robotics · Computer Science 2025-08-26 Zachary Olkin , Aaron D. Ames

Robust control design is mainly devoted to guarantee closed-loop stability of a model-based control law in presence of parametric and structural uncertainties. The control law is usually a complex feedback law which is derived from a…

Systems and Control · Computer Science 2011-08-12 Enrico Canuto , Wilber Acuna-Bravo , Andrés Molano-Jimenez , José Ospina , Carlos Perez-Montenegro

This paper presents a trajectory-tracking controller for multi-rotor unmanned aerial vehicles (UAVs) in scenarios where only the desired position and heading are known without the higher-order derivatives. The proposed solution modifies the…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Yogesh Kumar , S. B. Roy , P. B. Sujit

Linear impulsively controlled systems are suitable to describe a venue of real-life problems, going from disease treatment to aerospace guidance. The main characteristic of such systems is that they remain uncontrolled for certain periods…

Optimization and Control · Mathematics 2021-03-26 Ignacio Sanchez , Christophe Louembet , Marcelo Actis , Alejandro H. Gonzalez

This paper examines the local exponential stability (LES) of trajectories for nonlinear systems on Riemannian manifolds. We present necessary and sufficient conditions for LES of a trajectory on a Riemannian manifold by analyzing the…

Optimization and Control · Mathematics 2023-06-22 Dongjun Wu , Bowen Yi , Anders Rantzer

Automating drone-assisted processes is a complex task. Many solutions rely on trajectory generation and tracking, whereas in contrast, path-following control is a particularly promising approach, offering an intuitive and natural approach…

Systems and Control · Electrical Eng. & Systems 2026-01-21 David Leprich , Mario Rosenfelder , Mario Hermle , Jingshan Chen , Peter Eberhard

In this article, we address the control problem of unicycle path following, using a rigidly attached target point. The initial path following problem has been transformed into a reference trajectory following problem, using saturated…

Optimization and Control · Mathematics 2013-03-22 S. Laghrouche , Y. Chitour , M. Harmouche , F. S. Ahmed

Neural manifolds are an attractive theoretical framework for characterizing the complex behaviors of neural populations. However, many of the tools for identifying these low-dimensional subspaces are correlational and provide limited…

Neurons and Cognition · Quantitative Biology 2025-08-12 Christof Fehrman , C. Daniel Meliza

Model-based control requires an accurate model of the system dynamics for precisely and safely controlling the robot in complex and dynamic environments. Moreover, in the presence of variations in the operating conditions, the model should…

Robotics · Computer Science 2024-09-04 Alessandro Saviolo , Jonathan Frey , Abhishek Rathod , Moritz Diehl , Giuseppe Loianno

Accurate motion control in the face of disturbances within complex environments remains a major challenge in robotics. Classical model-based approaches often struggle with nonlinearities and unstructured disturbances, while RL-based methods…

Robotics · Computer Science 2025-05-23 Feng Gao , Chao Yu , Yu Wang , Yi Wu

This article presents a Visual Servoing Nonlinear Model Predictive Control (NMPC) scheme for autonomously tracking a moving target using multirotor Unmanned Aerial Vehicles (UAVs). The scheme is developed for surveillance and tracking of…

Improving the predictive accuracy of a dynamics model is crucial to obtaining good control performance and safety from Model Predictive Controllers (MPC). One approach involves learning unmodelled (residual) dynamics, in addition to nominal…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Leroy D'Souza , Yash Vardhan Pant , Sebastian Fischmeister

Stabilizing multi-steered articulated vehicles in backward motion is a complex task for any human driver. Unless the vehicle is accurately steered, its structurally unstable joint-angle kinematics during reverse maneuvers can cause the…

Optimization and Control · Mathematics 2020-05-08 Oskar Ljungqvist , Daniel Axehill

The paper develops a Model Predictive Controller for constrained control of spacecraft attitude with reaction wheel actuators. The controller exploits a special formulation of the cost with the reference governor like term, a low complexity…

Optimization and Control · Mathematics 2015-01-20 Alberto Guiggiani , Ilya Kolmanovsky , Panagiotis Patrinos , Alberto Bemporad

This paper presents a novel robust predictive controller for constrained nonlinear systems that is able to track piece-wise constant setpoint signals. The tracking model predictive controller presented in this paper extends the nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

Sequential Convex Programming (SCP) has recently gained popularity as a tool for trajectory optimization due to its sound theoretical properties and practical performance. Yet, most SCP-based methods for trajectory optimization are…

Optimization and Control · Mathematics 2019-05-21 Riccardo Bonalli , Andrew Bylard , Abhishek Cauligi , Thomas Lew , Marco Pavone

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. Continuation MPC, suggested by T.~Ohtsuka in 2004, uses…

Optimization and Control · Mathematics 2016-06-13 Andrew Knyazev , Alexander Malyshev

Given a finite-dimensional time continuous control system and $\varepsilon>0$, we address the question of the existence of controls that maintain the corresponding state trajectories in the $\varepsilon$-neighborhood of any prescribed path…

Optimization and Control · Mathematics 2025-11-18 Manuel Rissel , Marius Tucsnak

This paper presents a novel control protocol for distance and orientation formation control of rigid bodies, whose sensing graph is a static and undirected tree, in the special Euclidean group SE(3). The proposed control laws are…

Systems and Control · Computer Science 2018-08-30 Christos K. Verginis , Alexandros Nikou , Dimos V. Dimarogonas

Model predictive control (MPC) faces significant limitations when applied to systems evolving on nonlinear manifolds, such as robotic attitude dynamics and constrained motion planning, where traditional Euclidean formulations struggle with…

Robotics · Computer Science 2025-10-07 Peiwen Yang , Weisong Wen , Runqiu Yang , Yuanyuan Zhang , Jiahao Hu , Yingming Chen , Naigui Xiao , Jiaqi Zhao