Design of APOD-based switching dynamic observers and output feedback control for a class of nonlinear distributed parameter systems

Davood Babaei Pourkargar, Antonios Armaou

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The output feedback control problem for a class of nonlinear distributed parameter systems with limited number of continuous measurement sensors that describes a wide range of physico-chemical systems is investigated using adaptive proper orthogonal decomposition (APOD) method. Specifically, APOD is used to initiate and recursively revise locally valid reduced order models (ROMs) that approximate the dominant dynamic behavior of such physico-chemical systems. The controller is designed based on ROMs by combining a robust state controller with an APOD-based nonlinear Luenberger-type switching dynamic observer of the system states to reduce measurement sensor requirements. The important static observer requirements on the number of measurement sensors (that they must be supernumerary to the ROM dimension) and their location are circumvented by synthesizing dynamic observers. Three different approaches are introduced to recursively compute the dynamic observer gains at the ROM revisions. The stability of the closed-loop system is proven via Lyapunov and hybrid system stability arguments without invoking the separation principle between control and observation. The proposed method is successfully used to regulate a physico-chemical system that can be described in the form of the Kuramoto–Sivashinsky equation when the process exhibits significant nonlinear behavior.

Original languageEnglish (US)
Pages (from-to)62-75
Number of pages14
JournalChemical Engineering Science
Volume136
DOIs
StatePublished - Nov 2 2015

Fingerprint

Feedback control
Decomposition
Sensors
Controllers
Hybrid systems
System stability
Closed loop systems

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Cite this

@article{8eb30e1bf35c4a8fa005598b9a65e16b,
title = "Design of APOD-based switching dynamic observers and output feedback control for a class of nonlinear distributed parameter systems",
abstract = "The output feedback control problem for a class of nonlinear distributed parameter systems with limited number of continuous measurement sensors that describes a wide range of physico-chemical systems is investigated using adaptive proper orthogonal decomposition (APOD) method. Specifically, APOD is used to initiate and recursively revise locally valid reduced order models (ROMs) that approximate the dominant dynamic behavior of such physico-chemical systems. The controller is designed based on ROMs by combining a robust state controller with an APOD-based nonlinear Luenberger-type switching dynamic observer of the system states to reduce measurement sensor requirements. The important static observer requirements on the number of measurement sensors (that they must be supernumerary to the ROM dimension) and their location are circumvented by synthesizing dynamic observers. Three different approaches are introduced to recursively compute the dynamic observer gains at the ROM revisions. The stability of the closed-loop system is proven via Lyapunov and hybrid system stability arguments without invoking the separation principle between control and observation. The proposed method is successfully used to regulate a physico-chemical system that can be described in the form of the Kuramoto–Sivashinsky equation when the process exhibits significant nonlinear behavior.",
author = "Pourkargar, {Davood Babaei} and Antonios Armaou",
year = "2015",
month = "11",
day = "2",
doi = "10.1016/j.ces.2015.02.032",
language = "English (US)",
volume = "136",
pages = "62--75",
journal = "Chemical Engineering Science",
issn = "0009-2509",
publisher = "Elsevier BV",

}

Design of APOD-based switching dynamic observers and output feedback control for a class of nonlinear distributed parameter systems. / Pourkargar, Davood Babaei; Armaou, Antonios.

In: Chemical Engineering Science, Vol. 136, 02.11.2015, p. 62-75.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Design of APOD-based switching dynamic observers and output feedback control for a class of nonlinear distributed parameter systems

AU - Pourkargar, Davood Babaei

AU - Armaou, Antonios

PY - 2015/11/2

Y1 - 2015/11/2

N2 - The output feedback control problem for a class of nonlinear distributed parameter systems with limited number of continuous measurement sensors that describes a wide range of physico-chemical systems is investigated using adaptive proper orthogonal decomposition (APOD) method. Specifically, APOD is used to initiate and recursively revise locally valid reduced order models (ROMs) that approximate the dominant dynamic behavior of such physico-chemical systems. The controller is designed based on ROMs by combining a robust state controller with an APOD-based nonlinear Luenberger-type switching dynamic observer of the system states to reduce measurement sensor requirements. The important static observer requirements on the number of measurement sensors (that they must be supernumerary to the ROM dimension) and their location are circumvented by synthesizing dynamic observers. Three different approaches are introduced to recursively compute the dynamic observer gains at the ROM revisions. The stability of the closed-loop system is proven via Lyapunov and hybrid system stability arguments without invoking the separation principle between control and observation. The proposed method is successfully used to regulate a physico-chemical system that can be described in the form of the Kuramoto–Sivashinsky equation when the process exhibits significant nonlinear behavior.

AB - The output feedback control problem for a class of nonlinear distributed parameter systems with limited number of continuous measurement sensors that describes a wide range of physico-chemical systems is investigated using adaptive proper orthogonal decomposition (APOD) method. Specifically, APOD is used to initiate and recursively revise locally valid reduced order models (ROMs) that approximate the dominant dynamic behavior of such physico-chemical systems. The controller is designed based on ROMs by combining a robust state controller with an APOD-based nonlinear Luenberger-type switching dynamic observer of the system states to reduce measurement sensor requirements. The important static observer requirements on the number of measurement sensors (that they must be supernumerary to the ROM dimension) and their location are circumvented by synthesizing dynamic observers. Three different approaches are introduced to recursively compute the dynamic observer gains at the ROM revisions. The stability of the closed-loop system is proven via Lyapunov and hybrid system stability arguments without invoking the separation principle between control and observation. The proposed method is successfully used to regulate a physico-chemical system that can be described in the form of the Kuramoto–Sivashinsky equation when the process exhibits significant nonlinear behavior.

UR - http://www.scopus.com/inward/record.url?scp=84924859326&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924859326&partnerID=8YFLogxK

U2 - 10.1016/j.ces.2015.02.032

DO - 10.1016/j.ces.2015.02.032

M3 - Article

VL - 136

SP - 62

EP - 75

JO - Chemical Engineering Science

JF - Chemical Engineering Science

SN - 0009-2509

ER -