An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators
Autor(a) principal: | |
---|---|
Data de Publicação: | 2023 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1109/ACCESS.2023.3249482 http://hdl.handle.net/11449/249732 |
Resumo: | In this paper, we propose a control approach for the robust stabilization of linear time-invariant (LTI) systems with non-negligible sensor and actuator dynamics subject to time-delayed signals. Our proposition is based on obtaining an augmented model that encompasses the plant, sensor, and actuator dynamics and also the time-delay dynamic effect. We make use of the Padé Approximation for modeling the time-delay impact on the feedback loop. Since the actual plant state variables are not available for feedback, the sensor outputs, which represent a subset of the augmented system state variables, are used for composing a static output-feedback control law. The robust controller gains are computed by means of a two-stage strategy based on linear matrix inequalities (LMI). For obtaining less conservative conditions we consider the use of homogeneous-polynomial Lyapunov functions (HPLF)- and other decision variables- of arbitrary degree. In our proposition, we also take into account the inclusion of a minimum decay rate criterion in order to improve closed-loop system transient response. Disturbance rejection is also addressed through extensions to H2 guaranteed cost minimization. The effectiveness of the proposed strategy is attested in the design of a controller for the lateral axis dynamics of an aircraft and other academic examples. |
id |
UNSP_b82256e0c8a32475b80746861cbfbe58 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/249732 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuatorslinear matrix inequalitieslinear time-invariant systemsRobust controlstatic output feedbacktime-delayIn this paper, we propose a control approach for the robust stabilization of linear time-invariant (LTI) systems with non-negligible sensor and actuator dynamics subject to time-delayed signals. Our proposition is based on obtaining an augmented model that encompasses the plant, sensor, and actuator dynamics and also the time-delay dynamic effect. We make use of the Padé Approximation for modeling the time-delay impact on the feedback loop. Since the actual plant state variables are not available for feedback, the sensor outputs, which represent a subset of the augmented system state variables, are used for composing a static output-feedback control law. The robust controller gains are computed by means of a two-stage strategy based on linear matrix inequalities (LMI). For obtaining less conservative conditions we consider the use of homogeneous-polynomial Lyapunov functions (HPLF)- and other decision variables- of arbitrary degree. In our proposition, we also take into account the inclusion of a minimum decay rate criterion in order to improve closed-loop system transient response. Disturbance rejection is also addressed through extensions to H2 guaranteed cost minimization. The effectiveness of the proposed strategy is attested in the design of a controller for the lateral axis dynamics of an aircraft and other academic examples.São Paulo State University (UNESP) Campus Ilha Solteira School of Engineering, Ilha SolteiraSão José Dos Campos Divisão de Engenharia Eletrônica Instituto Tecnológico de Aeronáutica (ITA)São Paulo State University (UNESP) Campus Ilha Solteira School of Engineering, Ilha SolteiraUniversidade Estadual Paulista (UNESP)Instituto Tecnológico de Aeronáutica (ITA)Sereni, Bruno [UNESP]Galvao, Roberto Kawakami HarropAssuncao, Edvaldo [UNESP]Teixeira, Marcelo Carvalho Minhoto [UNESP]2023-07-29T16:07:42Z2023-07-29T16:07:42Z2023-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article20769-20785http://dx.doi.org/10.1109/ACCESS.2023.3249482IEEE Access, v. 11, p. 20769-20785.2169-3536http://hdl.handle.net/11449/24973210.1109/ACCESS.2023.32494822-s2.0-85149384788Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIEEE Accessinfo:eu-repo/semantics/openAccess2023-07-29T16:07:42Zoai:repositorio.unesp.br:11449/249732Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T16:07:42Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators |
title |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators |
spellingShingle |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators Sereni, Bruno [UNESP] linear matrix inequalities linear time-invariant systems Robust control static output feedback time-delay |
title_short |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators |
title_full |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators |
title_fullStr |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators |
title_full_unstemmed |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators |
title_sort |
An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators |
author |
Sereni, Bruno [UNESP] |
author_facet |
Sereni, Bruno [UNESP] Galvao, Roberto Kawakami Harrop Assuncao, Edvaldo [UNESP] Teixeira, Marcelo Carvalho Minhoto [UNESP] |
author_role |
author |
author2 |
Galvao, Roberto Kawakami Harrop Assuncao, Edvaldo [UNESP] Teixeira, Marcelo Carvalho Minhoto [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Instituto Tecnológico de Aeronáutica (ITA) |
dc.contributor.author.fl_str_mv |
Sereni, Bruno [UNESP] Galvao, Roberto Kawakami Harrop Assuncao, Edvaldo [UNESP] Teixeira, Marcelo Carvalho Minhoto [UNESP] |
dc.subject.por.fl_str_mv |
linear matrix inequalities linear time-invariant systems Robust control static output feedback time-delay |
topic |
linear matrix inequalities linear time-invariant systems Robust control static output feedback time-delay |
description |
In this paper, we propose a control approach for the robust stabilization of linear time-invariant (LTI) systems with non-negligible sensor and actuator dynamics subject to time-delayed signals. Our proposition is based on obtaining an augmented model that encompasses the plant, sensor, and actuator dynamics and also the time-delay dynamic effect. We make use of the Padé Approximation for modeling the time-delay impact on the feedback loop. Since the actual plant state variables are not available for feedback, the sensor outputs, which represent a subset of the augmented system state variables, are used for composing a static output-feedback control law. The robust controller gains are computed by means of a two-stage strategy based on linear matrix inequalities (LMI). For obtaining less conservative conditions we consider the use of homogeneous-polynomial Lyapunov functions (HPLF)- and other decision variables- of arbitrary degree. In our proposition, we also take into account the inclusion of a minimum decay rate criterion in order to improve closed-loop system transient response. Disturbance rejection is also addressed through extensions to H2 guaranteed cost minimization. The effectiveness of the proposed strategy is attested in the design of a controller for the lateral axis dynamics of an aircraft and other academic examples. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T16:07:42Z 2023-07-29T16:07:42Z 2023-01-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1109/ACCESS.2023.3249482 IEEE Access, v. 11, p. 20769-20785. 2169-3536 http://hdl.handle.net/11449/249732 10.1109/ACCESS.2023.3249482 2-s2.0-85149384788 |
url |
http://dx.doi.org/10.1109/ACCESS.2023.3249482 http://hdl.handle.net/11449/249732 |
identifier_str_mv |
IEEE Access, v. 11, p. 20769-20785. 2169-3536 10.1109/ACCESS.2023.3249482 2-s2.0-85149384788 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
IEEE Access |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
20769-20785 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1797790243745693696 |