书目名称 | Optimal Control Theory | 副标题 | The Variational Meth | 编辑 | Zhongjing Ma,Suli Zou | 视频video | | 概述 | Covers the fundamental contents related to the implementation of the optimal control problems via the variational method.Describes in detail how to implement the discrete-time optimal control problems | 图书封面 |  | 描述 | .This book focuses on how to implement optimal control problems via the variational method. It studies how to implement the extrema of functional by applying the variational method and covers the extrema of functional with different boundary conditions, involving multiple functions and with certain constraints etc. It gives the necessary and sufficient condition for the (continuous-time) optimal control solution via the variational method, solves the optimal control problems with different boundary conditions, analyzes the linear quadratic regulator & tracking problems respectively in detail, and provides the solution of optimal control problems with state constraints by applying the Pontryagin’s minimum principle which is developed based upon the calculus of variations. And the developed results are applied to implement several classes of popular optimal control problems and say minimum-time, minimum-fuel and minimum-energy problems and so on. ..As another key branch of optimal control methods, it also presents how to solve the optimal control problems via dynamic programming and discusses the relationship between the variational method and dynamic programming for comparison. ..Co | 出版日期 | Textbook 2021 | 关键词 | Extrema of Functional; Calculus of Variations; Elimination/Direct Method; Lagrange Multiplier Method; Op | 版次 | 1 | doi | https://doi.org/10.1007/978-981-33-6292-5 | isbn_softcover | 978-981-33-6294-9 | isbn_ebook | 978-981-33-6292-5 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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