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

思想

Path Constraints from the Weierstrass condition, only first differential conditions are derived. For bounded controls, the optimality conditions plus the Weierstrass condition are equivalent to the Pontryagin Minimum Principle (Refs. PB and He).

審問,審訊

夾克怕包裹

Optimal Control Theory for Applications978-1-4757-4180-3Series ISSN 0941-5122 Series E-ISSN 2192-063X

reserve

Fixed Final Time: First Differentialons and the natural boundary conditions. These equations are to be solved for the optimal controls and states. For problems not explicitly containing the time, a first integral is shown to exist. Several examples are presented to illustrate the application of the theory.

易于交談

Free Final Timewing the final time to be free gives rise to a natural boundary condition for determining the optimal final time. Next, the Weierstrass condition and the Legendre-Clebsch condition are presented. Then, the conjugate point condition is developed for nonsingular optimal control problems (..> 0). Finally, several example problems are solved.

背書

Mechanical Engineering Serieshttp://image.papertrans.cn/o/image/702810.jpg

發(fā)怨言

https://doi.org/10.1007/978-1-4757-4180-3aerospace engineering; calculus; differential equation; dynamische Systeme; geometry; linear optimization

Mitigate

Yag-Capsulotomy

潰爛

Free Initial Time and StatesThe next logical extension of the optimal control problem could be to the case where the control is discontinuous. However, the development of the second differential requires notions that are related to problems with free initial states and time. Hence, this problem is considered first; the optimal control is still assumed to be continuous.