Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems

Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems

This paper presents an approach for the synthesis of observer-based controllers for discrete-time periodic linear systems. The H2 performance criterion has been employed to design both the observer and the controller. For the periodic observer design, two conditions in the form of Linear Matrix Ineq...

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Main Authors: Natália A. Keles, Márcio J. Lacerda, Cristiano M. Agulhari
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/5851739
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spelling doaj-b7cb59faee564c53b34c25677d68d8ca2020-11-25T00:05:00ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/58517395851739Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain SystemsNatália A. Keles0Márcio J. Lacerda1Cristiano M. Agulhari2Control and Modelling Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei- UFSJ, Praça Frei Orlando 170, 36307-352, Centro, São João del-Rei, MG, BrazilControl and Modelling Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei- UFSJ, Praça Frei Orlando 170, 36307-352, Centro, São João del-Rei, MG, BrazilDepartment of Electrical Engineering, Federal University of Technology of Paraná–UTFPR, Av. Alberto Carazzai 1640, 86300-000, Cornélio Procópio, PR, BrazilThis paper presents an approach for the synthesis of observer-based controllers for discrete-time periodic linear systems. The H2 performance criterion has been employed to design both the observer and the controller. For the periodic observer design, two conditions in the form of Linear Matrix Inequalities (LMIs) are proposed, which stem from the Lyapunov Theory applied over the dynamics of the estimation error. The LMI condition obtained for the periodic state-feedback controller results from the application of the duality principle over the periodic system, under the assumption that only the estimated states are available to be used in the state-feedback compensation. Numerical experiments illustrate the potential of the proposed observer-based control technique.http://dx.doi.org/10.1155/2019/5851739
collection DOAJ
language English
format Article
sources DOAJ
author Natália A. Keles
Márcio J. Lacerda
Cristiano M. Agulhari
spellingShingle Natália A. Keles
Márcio J. Lacerda
Cristiano M. Agulhari
Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems
Mathematical Problems in Engineering
author_facet Natália A. Keles
Márcio J. Lacerda
Cristiano M. Agulhari
author_sort Natália A. Keles
title Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems
title_short Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems
title_full Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems
title_fullStr Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems
title_full_unstemmed Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems
title_sort robust performance and observer based control for periodic discrete-time uncertain systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description This paper presents an approach for the synthesis of observer-based controllers for discrete-time periodic linear systems. The H2 performance criterion has been employed to design both the observer and the controller. For the periodic observer design, two conditions in the form of Linear Matrix Inequalities (LMIs) are proposed, which stem from the Lyapunov Theory applied over the dynamics of the estimation error. The LMI condition obtained for the periodic state-feedback controller results from the application of the duality principle over the periodic system, under the assumption that only the estimated states are available to be used in the state-feedback compensation. Numerical experiments illustrate the potential of the proposed observer-based control technique.
url http://dx.doi.org/10.1155/2019/5851739
work_keys_str_mv AT nataliaakeles robustperformanceandobserverbasedcontrolforperiodicdiscretetimeuncertainsystems
AT marciojlacerda robustperformanceandobserverbasedcontrolforperiodicdiscretetimeuncertainsystems
AT cristianomagulhari robustperformanceandobserverbasedcontrolforperiodicdiscretetimeuncertainsystems
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