Titlebook: Optimal Control Theory for Applications; David G. Hull Textbook 2003 Springer Science+Business Media New York 2003 aerospace engineering.c

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FISC

Textbook 2003 the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a series featuring graduate texts and research monographs intended to address the need fo

细颈瓶

Introduction to Optimizationnversion of optimal control problems into parameter optimization problems is considered. Necessary conditions and sufficient conditions are discussed. Finally, a more detailed description of the text is presented.

molest

甜食

Differentials in Optimal Control. The elements of the optimal control problem are ordinary differential equations, algebraic final conditions, and integrals. In general, the first-order results of the Taylor expansion are used to define the differential operation, and their correctness is verified by deriving the second-order results by taking differentials.

易改变

Controllability controllability is that a control perturbation can be found which drives the first-order or the linearized state equation from a point close to the minimal path to the first-order or linearized final conditions.

GOAD

Fixed Final Time Guidanceat satisfies the path constraints by some margin. Hence, many guidance problems fit into the format of the optimal control problem defined in Chapter 9, and this chapter can be considered as an application of the material in Chaps. 9 and 11.

HAIRY

Parametersunch mass of a multistage missile that is to hit a fixed final point in a given time. In addition to the optimization of the trajectory, it is desired to optimize the missile design with respect to parameters such as the stage payload masses, the stage burn times, and so on.

Ballad

Fixed Final Time: Tests for a Minimumm with respect to the control at every point of a minimal path. The Legendre-Clebsch condition is obtained by reducing strong variations to weak variations. It requires that the Hamiltonian be a local minimum with respect to the control at every point of the minimal path.

等待

Fixed Final Time: Second Differentialcond differential. Third, for the class of nonsingular problems (.. > 0) conditions are developed for the existence of a neighboring optimal path. Finally, these conditions are used to develop a sufficient condition for the existence of a weak relative minimum.