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This paper demonstrates a refined approach to solving dynamic optimization problems for underactuated marine surface vessels. To this end the differential flatness of a mathematical model assuming full actuation is exploited to derive an…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Max Lutz , Thomas Meurer

This article presents a unified approach to quadratic optimal control for both linear and nonlinear discrete-time systems, with a focus on trajectory tracking. The control strategy is based on minimizing a quadratic cost function that…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Igor Ladnik

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

We present an optimal hybrid control approach to the problem of stochastic route planning for sailing boats, especially in short course fleet races, in which minimum average time is an effective performance index. We show that the hybrid…

Numerical Analysis · Mathematics 2017-07-26 Roberto Ferretti , Adriano Festa

We present an efficient transcription method for highly oscillatory optimal control problems. For these problems, the optimal state trajectory consists of fast oscillations that change slowly over the time horizon. Out of a large number of…

Optimization and Control · Mathematics 2022-05-19 Jakob Harzer , Jochem De Schutter , Moritz Diehl

This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta…

Optimization and Control · Mathematics 2026-03-17 Ethan Foss , Simone D'Amico

We propose an optimal control framework for persistent monitoring problems where the objective is to control the movement of mobile nodes to minimize an uncertainty metric in a given mission space. For multi agent in a one-dimensional…

Systems and Control · Computer Science 2012-02-29 Christos. G. Cassandras , Xuchao Lin , Xu Chu Ding

This paper investigates the problem of computing a two-dimensional optimal curvature straight line (CS) shortest path for an unmanned aerial vehicle (UAV) to intercept a moving target, with both the UAV (pursuer) and target travelling at…

Optimization and Control · Mathematics 2025-07-03 Masuda Akter , Mohammed Mustafa Rizvi

This paper addresses planning and control of robot motion under uncertainty that is formulated as a continuous-time, continuous-space stochastic optimal control problem, by developing a topology-guided path integral control method. The path…

Robotics · Computer Science 2022-08-01 Jung-Su Ha , Soon-Seo Park , Han-Lim Choi

Gateway will represent a primary logistic infrastructure in cislunar space. The identification of efficient orbit transfers capable of connecting Earth, Moon, and Gateway paves the way for enabling refurbishment, servicing, and utilization…

Optimization and Control · Mathematics 2024-12-06 Chiara Pozzi , Mauro Pontani , Alessandro Beolchi , Elena Fantino

The control of ensembles of dynamical systems is an intriguing and challenging problem, arising for example in quantum control. We initiate the investigation of optimal control of ensembles of discrete-time systems, focusing on minimising…

Optimization and Control · Mathematics 2025-11-07 Christian Fiedler , Alessandro Scagliotti

A circular pursuit guidance problem involving pursuer-target engagement is studied in this paper using a bifurcation theory based numerical approach. While target is modeled as a point mass moving around in a circle with certain velocity,…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kavita Shekhawat , Nandan K Sinha

Most interesting problems in robotics (e.g., locomotion and manipulation) are realized through intermittent contact with the environment. Due to the perception and modeling errors, assuming an exact time for establishing contact with the…

Robotics · Computer Science 2024-10-21 Haizhou Zhao , Majid Khadiv

In this paper, we propose a new model predictive control (MPC) formulation for autonomous driving. The novelty of our MPC stems from the following results. Firstly, we adopt an alternating minimization approach wherein linear velocities and…

We propose an optimal control framework for persistent monitoring problems where the objective is to control the movement of mobile agents to minimize an uncertainty metric in a given mission space. For a single agent in a one-dimensional…

Systems and Control · Computer Science 2011-10-07 Christos G. Cassandras , Xu Chu Ding , Xuchao Lin

In this paper a novel aerial manipulation system is proposed. The mechanical structure of the system, the number of thrusters and their geometry will be derived from technical optimization problems. The aforementioned problems are defined…

Robotics · Computer Science 2015-02-27 Alexandros Nikou , Georgios C. Gavridis , Kostas J. Kyriakopoulos

The optimization of low-thrust, multi-revolution orbit transfer trajectories is often regarded as a difficult problem in modern astrodynamics. In this paper, a flexible and computationally efficient approach is presented for the…

Optimization and Control · Mathematics 2024-09-11 Mirko Leomanni , Gianni Bianchini , Andrea Garulli , Renato Quartullo

Robots must make and break contact with the environment to perform useful tasks, but planning and control through contact remains a formidable challenge. In this work, we achieve real-time contact-implicit model predictive control with a…

Robotics · Computer Science 2025-05-06 Vince Kurtz , Alejandro Castro , Aykut Özgün Önol , Hai Lin

We consider the problem of attitude tracking for small-scale aerobatic helicopters. A small scale helicopter has two subsystems: the fuselage, modeled as a rigid body; and the rotor, modeled as a first order system. Due to the coupling…

Systems and Control · Computer Science 2017-03-29 Nidhish Raj , Ravi N. Banavar , Abhishek , Mangal Kothari

This article focuses on the trajectory tracking problem of mobile manipulators (MMs). Firstly, we construct a position and orientation model predictive tracking control (POMPTC) scheme for mobile manipulators. The proposed POMPTC scheme can…

Robotics · Computer Science 2024-07-12 Tao Su , Shiqi Zheng