Three-Dimensional Minimum-Time Interception Trajectory Planning Using Nonlinear Programming and Collocation
نویسندگان
چکیده
A combined algorithm which has global and local optimization capabilities is applied to a statistical orbit determination problem. The objective is to estimate initial states of a nearearth satellite nonlinear dynamical system, as well as unknown parameters, by using discrete observations. A particle swarm optimizer is the selected global search tool, and it is used in the first phase to obtain the preliminary results over a large searching space. A batch filter which has faster convergence and higher accuracy in local optimization is applied in the second phase to refine the preliminary results. The initial experimental results show that the combined algorithm has the potential to solve a statistical orbit determination problem.
منابع مشابه
Trajectory Optimization for a Multistage Launch Vehicle Using Nonlinear Programming
This work is an example of application of nonlinear programming to a problem of three-dimensional trajectory optimization for multistage launch vehicles for geostationary orbit missions. The main objective is to minimize fuel consumption or equivalently to maximize the payload. The launch vehicle considered here, Europa-II, consists of 5 thrust phases and 2 coast phases. Major parameters of the...
متن کاملThree-Dimensional Trajectory Optimization in Constrained Airspace
The operational airspace of aerospace vehicles, including airplanes and unmanned aerial vehicles, is often restricted so that constraints on three-dimensional climbs, descents and other maneuvers are necessary. In this paper, the problem of determining constrained, three-dimensional, minimum-time-to-climb and minimum-fuel-to-climb trajectories for an aircraft in an airspace defined by a rectang...
متن کاملThrust - Limited Optimal Three - Dimensional Spacecraft Trajectories
Several optimal three-dimensional orbital transfer problems are solved for thrust-limited spacecrafts using collocation and nonlinear programming techniques. The solutions for full nonlinear equations of motion are obtained where the integrals of the free Keplerian motion in three dimensions are utilized for coasting arcs. In order to limit the solution space, interior-point constraints are use...
متن کاملOptimal Trajectory and Control Generation for Landing of Multiple Aircraft in the Presence of Obstacles
Due to the large increase in the density of aircraft arrivals at airports in recent years, it has become important to optimize the scheduling of aircraft landings in order to reduce wait time, improve airport efficiency, and minimize fuel consumption while maintaining safety. As the density of aircraft arrivals increases, however, so too does the complexity of trajectory planning and generation...
متن کاملRandomized searches and nonlinear programming in trajectory planning
This paper presents a novel trajectory planning algorithm for nonlinear dynamical systems evolving in environments with complex obstacles. The incremental search algorithm entails (i) a global exploration strategy based on randomization and on a rapidly-exploring heuristic, and (ii) a local planner based on collocation and nonlinear programming. To numerically validate the design, we consider a...
متن کامل