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Trajectory optimization is the process of designing a trajectory that minimizes (or maximizes) some measure of performance while satisfying a set of constraints. Generally speaking, trajectory optimization is a technique for computing an open-loop solution to an optimal control problem. It is often used for systems where computing the full closed-loop solution is not required, impractical or impossible. If a trajectory optimization problem can be solved at a rate given by the inverse of the Lipschitz constant, then it can be used iteratively to generate a closed-loop solution in the sense of Caratheodory. If only the first step of the trajectory is executed for an infinite-horizon problem, then this is known as Model Predictive Control (MPC).

Attributes	Values
rdf:type	Election
rdfs:label	Trajectory optimization (en)
rdfs:comment	Trajectory optimization is the process of designing a trajectory that minimizes (or maximizes) some measure of performance while satisfying a set of constraints. Generally speaking, trajectory optimization is a technique for computing an open-loop solution to an optimal control problem. It is often used for systems where computing the full closed-loop solution is not required, impractical or impossible. If a trajectory optimization problem can be solved at a rate given by the inverse of the Lipschitz constant, then it can be used iteratively to generate a closed-loop solution in the sense of Caratheodory. If only the first step of the trajectory is executed for an infinite-horizon problem, then this is known as Model Predictive Control (MPC). (en)
dcterms:subject	Aerodynamics Pursuit–evasion Aerospace engineering Ballistics Mathematical optimization
Wikipage page ID	2116830 (xsd:integer)
Wikipage revision ID	1119051709 (xsd:integer)
Link from a Wikipage to another Wikipage	Calculus of variations Pursuit curve Basis function Pseudo-spectral method Trapezoidal rule Mathematical optimization Optimization (mathematics) Gilbert Ames Bliss Brachistochrone curve Lipschitz constant Collocation method Spline (mathematics) Bang-bang control Aerodynamics Linear programming Load factor (aeronautics) Cubic Hermite spline Angle of attack Pursuit–evasion Caratheodory-π solution Differential game Quadcopter Quadratic programming Atlas (robot) Hybrid system Aerospace engineering Ballistics Mathematical optimization Trajectory Differential dynamic programming Pontryagin's maximum principle Optimal control Shooting method Simpson's rule Singular control Nonlinear programming Model Predictive Control Pontryagin Tactical missile
Link from a Wikipage to an external page	http://flyingmachinearena.org/research/ http://www.kumarrobotics.org/research/ https://nps.smartcatalogiq.com/en/Current/Academic-Catalog/Graduate-School-of-Engineering-and-Applied-Sciences-GSEAS/Department-of-Mechanical-and-Aerospace-Engineering/Applied-Trajectory-Optimization-Certificate-Curriculum-299 http://www.scholarpedia.org/article/Spectral_methods
sameAs	Trajectory optimization Trajectory optimization Trajectory optimization
has abstract	Trajectory optimization is the process of designing a trajectory that minimizes (or maximizes) some measure of performance while satisfying a set of constraints. Generally speaking, trajectory optimization is a technique for computing an open-loop solution to an optimal control problem. It is often used for systems where computing the full closed-loop solution is not required, impractical or impossible. If a trajectory optimization problem can be solved at a rate given by the inverse of the Lipschitz constant, then it can be used iteratively to generate a closed-loop solution in the sense of Caratheodory. If only the first step of the trajectory is executed for an infinite-horizon problem, then this is known as Model Predictive Control (MPC). Although the idea of trajectory optimization has been around for hundreds of years (calculus of variations, brachystochrone problem), it only became practical for real-world problems with the advent of the computer. Many of the original applications of trajectory optimization were in the aerospace industry, computing rocket and missile launch trajectories. More recently, trajectory optimization has also been used in a wide variety of industrial process and robotics applications. (en)
gold:hypernym	Process
prov:wasDerivedFrom	wikipedia-en:Trajectory_optimization?oldid=1119051709&ns=0
page length (characters) of wiki page	26601 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Trajectory_optimization
is Link from a Wikipage to another Wikipage of	List of software for trajectory optimization Index of physics articles (T) List of numerical analysis topics S-300 missile system Missile ASTOS Aircraft specific energy Ernst Dickmanns Numbers (season 6) PROPT Fourth, fifth, and sixth derivatives of position Gravity turn Kalman filter Gregory Chamitoff JModelica.org Trajectory (disambiguation) Differential dynamic programming Nguyễn Xuân Vinh Optimal control Singular control
is Wikipage redirect of	List of software for trajectory optimization
is Wikipage disambiguates of	Trajectory (disambiguation)
is foaf:primaryTopic of	wikipedia-en:Trajectory_optimization

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