Guaranteed cost control of uncertain systems with a time-multiplied quadratic cost function: An approach based on linear matrix inequalities
type: Item
instance of: scholarly article
title: Guaranteed cost control of uncertain systems with a time-multiplied quadratic cost function: An approach based on linear matrix inequalities
zbMATH Open document ID: 0944.93028
DOI: 10.1016/S0005-1098(98)00016-8
author: S. O. Reza Moheimani
author: Ian R. Petersen
published in: Automatica
publication date: 2000-09-18T00:00:00Z
review text: The paper is concerned with the problem of designing guaranteed cost controllers for a class of norm bounded uncertain systems with a time multiplied linear-quadratic cost function. Such a cost function penalizes the states heavily as time increases and hence, forces the states to approach zero more quickly. Therefore a shorter transient response usually appears. A number of fixed Lyapunov functions is used to guarantee the quadratic stability of the system and an upper bound on the cost function. It is shown that the problem of minimizing the upper bound can be reduced to that of iteratively solving a Riccati equation and an LMI optimization problem.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1325785
zbMATH Keywords: guaranteed cost controllers
zbMATH Keywords: norm bounded uncertain systems
zbMATH Keywords: time multiplied linear-quadratic cost
zbMATH Keywords: transient response
zbMATH Keywords: quadratic stability
zbMATH Keywords: LMI optimization
reviewed by: Ryszard Gessing
MaRDI profile type: Publication
full work available at URL: s0005-1098(98)00016-8
OpenAlex ID: W2065874689
description: scientific article; zbMATH DE number 1325785