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Symplectic pseudospectral methods fo...

Liu, Jie.

Symplectic pseudospectral methods for optimal controltheory and applications in path planning /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Symplectic pseudospectral methods for optimal controlby Xinwei Wang, Jie Liu, Haijun Peng.
Reminder of title:	theory and applications in path planning /
Author:	Wang, Xinwei.
other author:	Liu, Jie.
Published:	Singapore :Springer Singapore :2021.
Description:	xi, 178 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear control theory.
Online resource:	https://doi.org/10.1007/978-981-15-3438-6
ISBN:	9789811534386$q(electronic bk.)

Symplectic pseudospectral methods for optimal controltheory and applications in path planning /
Wang, Xinwei.

Symplectic pseudospectral methods for optimal controltheory and applications in path planning /[electronic resource] :by Xinwei Wang, Jie Liu, Haijun Peng. - Singapore :Springer Singapore :2021. - xi, 178 p. :ill., digital ;24 cm. - Intelligent systems, control and automation: science and engineering,v.972213-8986 ;. - Intelligent systems, control and automation: science and engineering ;v.70..

Background -- Numerical methods for computational optimal control -- Mathematical foundations -- SPM for general nonlinear unconstrained optimal control problems -- SPM for nonlinear optimal control problems with inequality constraints -- SPM for nonlinear state-delayed optimal control problems -- From open-loop to closed-loop: Model predictive control -- Optimal maneuver of spacecraft -- Optimal path planning of UGS -- Overhead crane -- Carrier aircraft (traction system) -- Optimal vaccination strategy for a seasonally varying epidemic model.

The book focuses on symplectic pseudospectral methods for nonlinear optimal control problems and their applications. Both the fundamental principles and engineering practice are addressed. Symplectic pseudospectral methods for nonlinear optimal control problems with complicated factors (i.e., inequality constraints, state-delay, unspecific terminal time, etc.) are solved under the framework of indirect methods. The methods developed here offer a high degree of computational efficiency and accuracy when compared with popular direct pseudospectral methods. The methods are applied to solve optimal control problems arising in various engineering fields, particularly in path planning problems for autonomous vehicles. Given its scope, the book will benefit researchers, engineers and graduate students in the fields of automatic control, path planning, ordinary differential equations, etc.

ISBN: 9789811534386$q(electronic bk.)

Standard No.: 10.1007/978-981-15-3438-6doiSubjects--Topical Terms:

182079
Nonlinear control theory.

LC Class. No.: QA402.35 / .W35 2021

Dewey Class. No.: 629.836

Symplectic pseudospectral methods for optimal controltheory and applications in path planning /
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505 0 $a Background -- Numerical methods for computational optimal control -- Mathematical foundations -- SPM for general nonlinear unconstrained optimal control problems -- SPM for nonlinear optimal control problems with inequality constraints -- SPM for nonlinear state-delayed optimal control problems -- From open-loop to closed-loop: Model predictive control -- Optimal maneuver of spacecraft -- Optimal path planning of UGS -- Overhead crane -- Carrier aircraft (traction system) -- Optimal vaccination strategy for a seasonally varying epidemic model.
520 $a The book focuses on symplectic pseudospectral methods for nonlinear optimal control problems and their applications. Both the fundamental principles and engineering practice are addressed. Symplectic pseudospectral methods for nonlinear optimal control problems with complicated factors (i.e., inequality constraints, state-delay, unspecific terminal time, etc.) are solved under the framework of indirect methods. The methods developed here offer a high degree of computational efficiency and accuracy when compared with popular direct pseudospectral methods. The methods are applied to solve optimal control problems arising in various engineering fields, particularly in path planning problems for autonomous vehicles. Given its scope, the book will benefit researchers, engineers and graduate students in the fields of automatic control, path planning, ordinary differential equations, etc.
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