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We study the problem of computing robust controllable sets for discrete-time linear systems with additive uncertainty. We propose a tractable and scalable approach to inner- and outer-approximate robust controllable sets using constrained…

Optimization and Control · Mathematics 2025-01-22 Abraham P. Vinod , Avishai Weiss , Stefano Di Cairano

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

This paper explores expressing the relative state in the close-proximity satellite relative motion problem in terms of fundamental solution constants. The nominal uncontrolled relative state can be expressed in terms of a weighted sum of…

Optimization and Control · Mathematics 2021-12-07 Ethan Burnett , Hanspeter Schaub

Conjunction analysis and maneuver planning for spacecraft collision avoidance remains a manual and time-consuming process, typically involving repeated forward simulations of hand-designed maneuvers. With the growing density of satellites…

Robotics · Computer Science 2025-10-23 Fausto Vega , Jon Arrizabalaga , Ryan Watson , Zachary Manchester

In this paper, the trajectory planning problem for autonomous rendezvous and docking between a controlled spacecraft and a tumbling target is addressed. The use of a variable planning horizon is proposed in order to construct an appropriate…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Mirko Leomanni , Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

We characterize and compute the maximal admissible positively invariant set for asymptotically stable constrained switching linear systems. Motivated by practical problems found, e.g., in obstacle avoidance, power electronics and nonlinear…

Dynamical Systems · Mathematics 2015-11-27 Nikolaos Athanasopoulos , Raphaël M. Jungers

In order for automated mobile vehicles to navigate in the real world with minimal collision risks, it is necessary for their planning algorithms to consider uncertainties from measurements and environmental disturbances. In this paper, we…

Robotics · Computer Science 2022-12-19 Nathan Goulet , Qian Wang , Beshah Ayalew

We present a stochastic model predictive control framework for nonlinear systems subject to unbounded process noise with closed-loop guarantees. First, we provide a conceptual shrinking-horizon framework that utilizes general probabilistic…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Johannes Köhler , Melanie N. Zeilinger

This paper presents a novel robust variable-horizon model predictive control scheme designed to intercept a target moving along a known trajectory, in finite time. Linear discrete-time systems affected by bounded process disturbances are…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

We study the polyhedral structure of the static probabilistic lot-sizing problem and propose valid inequalities that integrate information from the chance constraint and the binary setup variables. We prove that the proposed inequalities…

Optimization and Control · Mathematics 2020-06-02 Xiao Liu , Simge Kucukyavuz

Many theories are formulated as constrained systems. We provide a mechanism that explains the origin of physical states of a constrained system by a process of selection of noiseless subsystems when the system is coupled to an external…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tomasz Konopka , Fotini Markopoulou

We propose a sampling-based trajectory optimization methodology for constrained problems. We extend recent works on stochastic search to deal with box control constraints,as well as nonlinear state constraints for discrete dynamical…

Optimization and Control · Mathematics 2019-11-13 George I. Boutselis , Ziyi Wang , Evangelos A. Theodorou

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable…

Optimization and Control · Mathematics 2025-06-02 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

In this paper, a sampling-based Stochastic Model Predictive Control algorithm is proposed for discrete-time linear systems subject to both parametric uncertainties and additive disturbances. One of the main drivers for the development of…

Recent investments in cislunar applications open new frontiers for space missions within highly nonlinear dynamical regimes. In this paper, we propose a method based on Sequential Convex Programming (SCP) to loiter around a given target…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Fabio Spada , Purnanand Elango , Behçet Açıkmeşe

Recent advancements in constrained kinematic control make it an attractive strategy for controlling robots with arbitrary geometry in challenging tasks. Most current works assume that the robot kinematic model is precise enough for the task…

Robotics · Computer Science 2023-09-21 Murilo Marques Marinho , Bruno Vilhena Adorno

While many techniques have been developed for chance constrained stochastic optimal control with Gaussian disturbance processes, far less is known about computationally efficient methods to handle non-Gaussian processes. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Shawn Priore , Meeko Oishi

This paper studies the problem of integrated distributed network localization and formation maneuver control. We develop an integrated relative-measurement-based scheme, which only uses relative positions, distances, bearings, angles,…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Xu Fang , Lihua Xie , Xiaolei Li

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