Titlebook: Optimal Control with Aerospace Applications; James M Longuski,José J. Guzmán,John E. Prussing Textbook 2014 Springer Science + Business Me

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General Theory of Optimal Rocket Trajectories,en introduced the concept of the primer vector, which plays a dominant role in minimum-propellant trajectories and also in other types of optimal trajectories. A more complete discussion of the topics in this chapter, including several example trajectories, is in Prussing [2010].

Constrain

Parameter Optimization,Two major branches of optimization are: parameter optimization and optimal control theory. In parameter optimization (a problem of finite dimensions, that is, where the parameters are not functions of time) we minimize a function of a finite number of parameters.

連系

Redundant

The Weierstrass Condition,In Chap. 4 we noted that there are optimization problems that cannot be resolved by the Euler-Lagrange theorem alone. Pontryagin’s Minimum Principle often provides an additional condition that leads to a specific control law and to the solution of the problem. The most general form of the Minimum Principle is stated in Chap. 6 without proof.

機構

Some Applications,Why discuss aircraft performance in a text chiefly about optimization of spacecraft trajectories? Because aerospace engineers sometimes wish to capture the best of both worlds—as in the examples of Pegasus and SpaceShipOne which use aircraft as first stages and rockets as second stages to send vehicles into space.

提煉

抗原

Bounded Control Problems,We recall that the general form of the minimization problem can be stated as

Grating

978-1-4939-4917-5Springer Science + Business Media New York 2014