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The specific objective of this paper is to develop a tool that calculates the optimal trajectory of the follower aircraft as it completes a formation rejoin, and then maintains the formation position, defined as a ring of points, until a…

Optimization and Control · Mathematics 2022-10-05 Carl A. Gotwald , Michael D. Zollars , Isaac E. Weintraub

In this paper, we develop a computationally-efficient approach to minimum-time trajectory optimization using input-output data-based models, to produce an end-to-end data-to-control solution to time-optimal planning/control of dynamic…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Nan Li , Ehsan Taheri , Ilya Kolmanovsky , Dimitar Filev

Approximate dynamic programming has been investigated and used as a method to approximately solve optimal regulation problems. However, the extension of this technique to optimal tracking problems for continuous time nonlinear systems has…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Shubhendu Bhasin , Warren Dixon

The basic module for the solution of the minimum time optimal control of a car-like vehicle is herein presented. The vehicle is subject to the effect of laminar (linear) and aerodynamic (quadratic) drag, taking into account the asymmetric…

Numerical Analysis · Mathematics 2016-04-12 Enrico Bertolazzi , Marco Frego

With the introduction of the laterally bounded forces, the tilt-rotor gains more flexibility in the controller design. Typical feedback linearization methods utilize all the inputs in controlling this vehicle; the magnitudes as well as the…

Robotics · Computer Science 2022-03-29 Zhe Shen , Yudong Ma , Takeshi Tsuchiya

We present a dynamic programming-based solution to a stochastic optimal control problem up to a hitting time for a discrete-time Markov control process. Firstly, we determine an optimal control policy to steer the process toward a compact…

Optimization and Control · Mathematics 2009-09-28 Debasish Chatterjee , Eugenio Cinquemani , Giorgos Chaloulos , John Lygeros

This paper presents a novel synthesis method for designing an optimal and robust guidance law for a non-throttleable upper stage of a launch vehicle, using a convex approach. In the unperturbed scenario, a combination of lossless and…

Optimization and Control · Mathematics 2022-12-14 Boris Benedikter , Alessandro Zavoli , Guido Colasurdo , Simone Pizzurro , Enrico Cavallini

The vertical trajectory optimization for the en route descent phase is studied in the presence of both along track and cross winds, which are both modeled as functions of altitude. The flight range covers some portion of a cruise segment…

Optimization and Control · Mathematics 2015-08-11 Sang Gyun Park , John-Paul Clarke

A new dynamic control algorithm in order to direct the trajectory of a glider to a pre-assigned target point is proposed. The algorithms runs iteratively and the approach to the target point is self-correcting. The algorithm is applicable…

Instrumentation and Methods for Astrophysics · Physics 2013-03-01 Rui Dilão , João Fonseca

Optimal control is often used in robotics for planning a trajectory to achieve some desired behavior, as expressed by the cost function. Most works in optimal control focus on finding a single optimal trajectory, which is then typically…

Robotics · Computer Science 2021-08-24 Teguh Santoso Lembono , Sylvain Calinon

The problem of attitude tracking using rotation matrices is addressed using an approach which combines inverse optimality and $\mathcal{L}_{2}$ disturbance attenuation. Conditions are provided which solve the inverse optimal nonlinear…

Systems and Control · Electrical Eng. & Systems 2021-07-19 Farooq Aslam , M. Farooq Haydar

This paper is based on a crucial issue in the aviation world: how to optimize the trajectory and controls given to the aircraft in order to optimize flight time and fuel consumption. This study aims to provide elements of a response to this…

Optimization and Control · Mathematics 2024-08-15 Gaofeng Su , Xi Cheng , Siyuan Feng , Ke Liu , Jilin Song , Jianan Chen , Chen Zhu , Hui Lin

The next generation of space systems will have to achieve more and more complex missions. In order to master the development cost and duration of such systems, an alternative to a manual design is to automatically synthesize the main…

Software Engineering · Computer Science 2021-12-15 Étienne André , Emmanuel Coquard , Laurent Fribourg , Jawher Jerray , David Lesens

The next generation of space systems will have to achieve more and more complex missions. In order to master the development cost and duration of such systems, an alternative to a manual design is to automatically synthesize the main…

Software Engineering · Computer Science 2019-03-19 Étienne André , Emmanuel Coquard , Laurent Fribourg , Jawher Jerray , David Lesens

The minimum-time control problem consists in finding a control policy that will drive a given dynamic system from a given initial state to a given target state (or a set of states) as quickly as possible. This is a well-known challenging…

Systems and Control · Computer Science 2015-03-19 Laurent Bako , Dulin Chen , Stéphane Lecoeuche

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

Optimization and Control · Mathematics 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

In contrast to set-point tracking which aims to reduce the tracking error between the tracker and the reference, tracking-in-range problems only focus on whether the tracker is within a given range around the reference, making it more…

Systems and Control · Electrical Eng. & Systems 2024-03-06 Nikilesh Ramesh , Eric C. Kerrigan , Yuanbo Nie

An approach to the control of a VTOL vehicle equipped with complementary thrust-direction tilting capabilities that nominally yield full actuation of the vehicle's position and attitude is developed. The particularity and difficulty of the…

Optimization and Control · Mathematics 2013-08-02 Minh-Duc Hua , Tarek Hamel , Claude Samson

A minimum-time reorientation of an axisymmetric rigid spacecraft controlled by three torques is studied. The orientation of the body is modeled such that the attitude kinematics are representative of a spin-stabilized spacecraft. The…

Optimization and Control · Mathematics 2022-03-23 Elisha R. Pager , Anil V. Rao

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

Systems and Control · Computer Science 2016-03-10 Jung-Su Ha , Han-Lim Choi