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Titlebook: Optimal Control Theory; The Variational Meth Zhongjing Ma,Suli Zou Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exc

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发表于 2025-3-21 18:48:31 | 显示全部楼层 |阅读模式
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Titlebook: Optimal Control Theory; The Variational Meth Zhongjing Ma,Suli Zou Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exc
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
doihttps://doi.org/10.1007/978-981-33-6292-5
isbn_softcover978-981-33-6294-9
isbn_ebook978-981-33-6292-5
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
The information of publication is updating

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发表于 2025-3-21 23:40:59 | 显示全部楼层
Introduction,e 2011. The purpose of the course is to provide an extensive treatment to the optimal and robust control in the modern control theory for the complex, multiple inputs and multiple outputs systems, to meet radically different criteria of the performance from the classical control theory.
发表于 2025-3-22 04:29:23 | 显示全部楼层
发表于 2025-3-22 05:52:28 | 显示全部楼层
Discrete-Time Optimal Control Problems,tain performance costs in the forms of integrals are minimized. This chapter will introduce optimal control problems for discrete-time systems which are characterized by difference equations, and the objective is to minimize some performance costs which are in the forms of the summations of function
发表于 2025-3-22 11:35:08 | 显示全部楼层
Introduction,e 2011. The purpose of the course is to provide an extensive treatment to the optimal and robust control in the modern control theory for the complex, multiple inputs and multiple outputs systems, to meet radically different criteria of the performance from the classical control theory.
发表于 2025-3-22 16:54:27 | 显示全部楼层
Differential Games,e developed, and affine-quadratic differential games are further studied. In Sect. ., a class of zero-sum differential games is formulated and the saddle point of two-person zero-sum differential games is studied and implemented via the dynamic programming method.
发表于 2025-3-22 20:27:59 | 显示全部楼层
Discrete-Time Optimal Control Problems,tain performance costs in the forms of integrals are minimized. This chapter will introduce optimal control problems for discrete-time systems which are characterized by difference equations, and the objective is to minimize some performance costs which are in the forms of the summations of functions.
发表于 2025-3-22 22:56:38 | 显示全部楼层
发表于 2025-3-23 03:37:14 | 显示全部楼层
Optimal Control via Variational Method,In this chapter, we will study the optimal control problems by applying the developed results of the extremal of functional via the variational method.
发表于 2025-3-23 05:52:26 | 显示全部楼层
,Pontryagin’s Minimum Principle,In Chap. 3, the optimal control problems with the assumption that the admissible controls and states are not constrained by any boundaries are studied. However, such constraints certainly occur in realistic systems.
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