Computational optimization holds great promise for the management of oil field operations. These optimizations can be very expensive computationally, however, because each function evaluation requires a reservoir simulation, which is itself time consuming. In this paper, we present and apply a surrogate modeling procedure which greatly accelerates optimizations based on subsurface flow simulati...

We present a method to automatically morph trajectories from one mechanical system into trajectories of another system with potentially very different dynamics. Our method relies on a mapping from the source system’s configuration space to that of the target system to create a desired trajectory for the target system. A projection operatorbased trajectory optimization finds a dynamically-admiss...

Given a heuristic estimate of the relative safety of a hybrid dynamical system trajectory, we transform the initial safety problem for dynamical systems into a global optimization problem. We introduce MLLO-IQ and MLLO-RIQ, two new information-based optimization algorithms. After demonstrating their strengths and weaknesses, we describe the class of problems for which diierent optimization meth...

This paper presents a method for path-following for quadcopter trajectories in real time. Non-Linear Guidance Logic is used to find the intercepts of the subsequent destination. Trajectory tracking is implemented by formulating the trajectory of the quadcopter using its jerk, in discrete time, and then solving a convex optimization problem on each decoupled axis. Based on the maximum possible t...

This paper presents how a problem of optimal trajectory planning, that is an optimal control problem, can be transformed into a parametric optimization problem and in consequence be tackled using efficient deterministic or stochastic parametric optimization techniques. The transformation is done thanks to discretizing some or all continuous system’s variables and forming their time-histories by...

Nonplanar trajectory optimization problem with advanced variable specific impulse magnetoplasma rocket (VASIMR) engine is studied. A newly developed method called Gauss Pseudospectral method is applied to the nonplanar trajectory optimization problem with VASIMR engine. Three representative trajectory optimization problems are solved. The first is an orbit raising problem from LEO to GEO; the s...

In the article, we present an efficient optimization framework that solves trajectory problems by decoupling state variables from timing variables, thereby decomposing a challenging nonlinear programming (NLP) problem into two easier subproblems. With fixed, can be optimized efficiently using convex optimization, and in separate NLP, which forms bilevel problem. The challenge of obtaining gradi...

A possible mean to stabilize the LEO debris population is to remove each year 5 heavy debris like spent satellites or launchers stages from that space region. This paper investigates the ΔV requirement for such a Space Debris Collecting mission. The optimization problem is intrinsically hard since it mixes combinatorial optimization to select the debris among a list of candidates and functional...