On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation

This paper introduces a new decomposition of the constrained generalized discrete-time algebraic Riccati equation arising in linear quadratic optimal control problems into two parts: the first part is an explicit expression which is common to all solutions. The second part can be either a reduced-or...

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Main Authors: Ntogramatzidis, Lorenzo, Ferrante, Augusto
Format: Conference Paper
Published: 2016
Online Access:http://hdl.handle.net/20.500.11937/37225
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author Ntogramatzidis, Lorenzo
Ferrante, Augusto
author_facet Ntogramatzidis, Lorenzo
Ferrante, Augusto
author_sort Ntogramatzidis, Lorenzo
building Curtin Institutional Repository
collection Online Access
description This paper introduces a new decomposition of the constrained generalized discrete-time algebraic Riccati equation arising in linear quadratic optimal control problems into two parts: the first part is an explicit expression which is common to all solutions. The second part can be either a reduced-order discrete-time algebraic Riccati equation with non-singular associated closed-loop matrix, or a symmetric Stein equation.
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spelling curtin-20.500.11937-372252017-01-30T14:00:36Z On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation Ntogramatzidis, Lorenzo Ferrante, Augusto This paper introduces a new decomposition of the constrained generalized discrete-time algebraic Riccati equation arising in linear quadratic optimal control problems into two parts: the first part is an explicit expression which is common to all solutions. The second part can be either a reduced-order discrete-time algebraic Riccati equation with non-singular associated closed-loop matrix, or a symmetric Stein equation. 2016 Conference Paper http://hdl.handle.net/20.500.11937/37225 restricted
spellingShingle Ntogramatzidis, Lorenzo
Ferrante, Augusto
On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
title On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
title_full On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
title_fullStr On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
title_full_unstemmed On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
title_short On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
title_sort on the structure of the solutions of the constrained generalized discrete-time algebraic riccati equation
url http://hdl.handle.net/20.500.11937/37225