Control of homogeneous reaction systems using extent-based LPV models

Research output: Contribution to journalConference articleAcademicpeer-review

1 Citation (Scopus)

Abstract

This paper proposes the use of the extent decomposition on homogeneous reaction systems for control purposes. The decomposition results in a Linear Parameter-Varying (LPV) representation, upon which parametric feedback and feedforward strategies are developed. In the first part of the paper, three different ways to obtain the Extent-Based LPV (ELPV) representation of the system are proposed. The representation is advantageous since the physical meaning of all the variables are kept, and it has a Jordan type of structure which is used to establish controllability conditions. In the second part, general parametric feedback and feedforward control laws are proposed for the ELPV system. The nonlinear state-parameter dependence is first considered in the feedback term. This fact allows converting the original ELPV system into a Linear Time Invariant (LTI) system, which is used to design optimal control laws for reference tracking. Finally, the performance of the control strategy for the ELPV system is illustrated in simulation and compared with a controller based on a constant-parameter LTI model (ELTI).

LanguageEnglish
Pages548-553
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number18
DOIs
StatePublished - 1 Jan 2018
Event10th IFAC Symposium on Advanced Control of Chemical Processes
- Shenyang, China
Duration: 25 Jul 201827 Jul 2018

Fingerprint

Decomposition
Feedback
Feedforward control
Controllability
Feedback control
Controllers
Optimal design

Keywords

  • Extent-based models
  • Homogeneous Reaction Systems
  • Linear Parameter Varying (LPV) Systems

Cite this

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title = "Control of homogeneous reaction systems using extent-based LPV models⁎",
abstract = "This paper proposes the use of the extent decomposition on homogeneous reaction systems for control purposes. The decomposition results in a Linear Parameter-Varying (LPV) representation, upon which parametric feedback and feedforward strategies are developed. In the first part of the paper, three different ways to obtain the Extent-Based LPV (ELPV) representation of the system are proposed. The representation is advantageous since the physical meaning of all the variables are kept, and it has a Jordan type of structure which is used to establish controllability conditions. In the second part, general parametric feedback and feedforward control laws are proposed for the ELPV system. The nonlinear state-parameter dependence is first considered in the feedback term. This fact allows converting the original ELPV system into a Linear Time Invariant (LTI) system, which is used to design optimal control laws for reference tracking. Finally, the performance of the control strategy for the ELPV system is illustrated in simulation and compared with a controller based on a constant-parameter LTI model (ELTI).",
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Control of homogeneous reaction systems using extent-based LPV models. / Marquez-Ruiz, A.; Mendez-Blanco, C. S.; Özkan, L.

In: IFAC-PapersOnLine, Vol. 51, No. 18, 01.01.2018, p. 548-553.

Research output: Contribution to journalConference articleAcademicpeer-review

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N2 - This paper proposes the use of the extent decomposition on homogeneous reaction systems for control purposes. The decomposition results in a Linear Parameter-Varying (LPV) representation, upon which parametric feedback and feedforward strategies are developed. In the first part of the paper, three different ways to obtain the Extent-Based LPV (ELPV) representation of the system are proposed. The representation is advantageous since the physical meaning of all the variables are kept, and it has a Jordan type of structure which is used to establish controllability conditions. In the second part, general parametric feedback and feedforward control laws are proposed for the ELPV system. The nonlinear state-parameter dependence is first considered in the feedback term. This fact allows converting the original ELPV system into a Linear Time Invariant (LTI) system, which is used to design optimal control laws for reference tracking. Finally, the performance of the control strategy for the ELPV system is illustrated in simulation and compared with a controller based on a constant-parameter LTI model (ELTI).

AB - This paper proposes the use of the extent decomposition on homogeneous reaction systems for control purposes. The decomposition results in a Linear Parameter-Varying (LPV) representation, upon which parametric feedback and feedforward strategies are developed. In the first part of the paper, three different ways to obtain the Extent-Based LPV (ELPV) representation of the system are proposed. The representation is advantageous since the physical meaning of all the variables are kept, and it has a Jordan type of structure which is used to establish controllability conditions. In the second part, general parametric feedback and feedforward control laws are proposed for the ELPV system. The nonlinear state-parameter dependence is first considered in the feedback term. This fact allows converting the original ELPV system into a Linear Time Invariant (LTI) system, which is used to design optimal control laws for reference tracking. Finally, the performance of the control strategy for the ELPV system is illustrated in simulation and compared with a controller based on a constant-parameter LTI model (ELTI).

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