The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part I
Access Status
Authors
Date
2012Type
Metadata
Show full item recordCitation
Source Title
Source Conference
ISBN
Remarks
© 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Collection
Abstract
A geometric analysis is used to study the relationship existing between the solutions of the generalised Riccati equation arising from the classic infinite-horizon linear quadratic (LQ) control problem and the output-nulling and reachability subspaces of the underlying system. This analysis reveals the presence of a subspace that plays a crucial role in the solution of the related optimal control problem.
Related items
Showing items related by title, author, creator and subject.
-
Ferrante, A.; Ntogramatzidis, Lorenzo (2017)Three hundred years have passed since Jacopo Francesco Riccati analyzed a quadratic differential equation that would have been of crucial importance in many fields of engineering and applied mathematics. Indeed, countless ...
-
Zhou, Jingyang (2011)In this thesis, we deal with several optimal guidance and control problems of the spacecrafts arising from the study of lunar exploration. The research is composed of three parts: 1. Optimal guidance for the lunar module ...
-
Loxton, Ryan Christopher (2010)In this thesis, we develop numerical methods for solving five nonstandard optimal control problems. The main idea of each method is to reformulate the optimal control problem as, or approximate it by, a nonlinear programming ...