Three-stage feedback controller design with applications to a three time-scale system

Verica Radisavljevic-Gajic; Milos Milanovic

doi:10.1115/DSCC2016-9806

Three-stage feedback controller design with applications to a three time-scale system

Verica Radisavljevic-Gajic
, Milos Milanovic

Villanova University College of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

A new technique was presented that facilitates design of independent full-state feedback controllers at the subsystem levels. Different types of local controllers, for example, eigenvalue assignment, robust, optimal (in some sense L1,H2,H∞,...) may be used to control different subsystems. This feature has not been available for any known linear feedback controller design. In the second part of the paper, we specialize the results obtained to the three time-scale linear systems (singularly perturbed control systems) that have natural decomposition into slow, fast, and very fast subsystems. The proposed technique eliminates numerical ill-condition of the original three-time scale problems.

Original language	English
Title of host publication	Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation
Publisher	American Society of Mechanical Engineers
ISBN (Electronic)	9780791850695
DOIs	https://doi.org/10.1115/DSCC2016-9806
State	Published - 2016
Externally published	Yes
Event	ASME 2016 Dynamic Systems and Control Conference, DSCC 2016 - Minneapolis, United States Duration: 12 Oct 2016 → 14 Oct 2016

Publication series

Name	ASME 2016 Dynamic Systems and Control Conference, DSCC 2016
Volume	1

Conference

Conference	ASME 2016 Dynamic Systems and Control Conference, DSCC 2016
Country/Territory	United States
City	Minneapolis
Period	12/10/16 → 14/10/16

Keywords

Local eigenvalue assignment controllers
Locally optimal controllers
Locally robust controllers
Systems with three time scales (singularly perturbed control systems)
Three-stage design

Access to Document

10.1115/DSCC2016-9806

Cite this

Radisavljevic-Gajic, V., & Milanovic, M. (2016). Three-stage feedback controller design with applications to a three time-scale system. In Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016; Vol. 1). American Society of Mechanical Engineers. https://doi.org/10.1115/DSCC2016-9806

Radisavljevic-Gajic, Verica ; Milanovic, Milos. / Three-stage feedback controller design with applications to a three time-scale system. Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation. American Society of Mechanical Engineers, 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016).

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title = "Three-stage feedback controller design with applications to a three time-scale system",

abstract = "A new technique was presented that facilitates design of independent full-state feedback controllers at the subsystem levels. Different types of local controllers, for example, eigenvalue assignment, robust, optimal (in some sense L1,H2,H∞,...) may be used to control different subsystems. This feature has not been available for any known linear feedback controller design. In the second part of the paper, we specialize the results obtained to the three time-scale linear systems (singularly perturbed control systems) that have natural decomposition into slow, fast, and very fast subsystems. The proposed technique eliminates numerical ill-condition of the original three-time scale problems.",

keywords = "Local eigenvalue assignment controllers, Locally optimal controllers, Locally robust controllers, Systems with three time scales (singularly perturbed control systems), Three-stage design",

author = "Verica Radisavljevic-Gajic and Milos Milanovic",

note = "Publisher Copyright: Copyright {\textcopyright} 2016 by ASME.; ASME 2016 Dynamic Systems and Control Conference, DSCC 2016 ; Conference date: 12-10-2016 Through 14-10-2016",

year = "2016",

doi = "10.1115/DSCC2016-9806",

language = "English",

series = "ASME 2016 Dynamic Systems and Control Conference, DSCC 2016",

publisher = "American Society of Mechanical Engineers",

booktitle = "Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation",

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Radisavljevic-Gajic, V & Milanovic, M 2016, Three-stage feedback controller design with applications to a three time-scale system. in Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation. ASME 2016 Dynamic Systems and Control Conference, DSCC 2016, vol. 1, American Society of Mechanical Engineers, ASME 2016 Dynamic Systems and Control Conference, DSCC 2016, Minneapolis, United States, 12/10/16. https://doi.org/10.1115/DSCC2016-9806

Three-stage feedback controller design with applications to a three time-scale system. / Radisavljevic-Gajic, Verica; Milanovic, Milos.
Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation. American Society of Mechanical Engineers, 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Three-stage feedback controller design with applications to a three time-scale system

AU - Radisavljevic-Gajic, Verica

AU - Milanovic, Milos

PY - 2016

Y1 - 2016

N2 - A new technique was presented that facilitates design of independent full-state feedback controllers at the subsystem levels. Different types of local controllers, for example, eigenvalue assignment, robust, optimal (in some sense L1,H2,H∞,...) may be used to control different subsystems. This feature has not been available for any known linear feedback controller design. In the second part of the paper, we specialize the results obtained to the three time-scale linear systems (singularly perturbed control systems) that have natural decomposition into slow, fast, and very fast subsystems. The proposed technique eliminates numerical ill-condition of the original three-time scale problems.

AB - A new technique was presented that facilitates design of independent full-state feedback controllers at the subsystem levels. Different types of local controllers, for example, eigenvalue assignment, robust, optimal (in some sense L1,H2,H∞,...) may be used to control different subsystems. This feature has not been available for any known linear feedback controller design. In the second part of the paper, we specialize the results obtained to the three time-scale linear systems (singularly perturbed control systems) that have natural decomposition into slow, fast, and very fast subsystems. The proposed technique eliminates numerical ill-condition of the original three-time scale problems.

KW - Local eigenvalue assignment controllers

KW - Locally optimal controllers

KW - Locally robust controllers

KW - Systems with three time scales (singularly perturbed control systems)

KW - Three-stage design

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DO - 10.1115/DSCC2016-9806

M3 - Conference contribution

AN - SCOPUS:85015858159

T3 - ASME 2016 Dynamic Systems and Control Conference, DSCC 2016

BT - Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation

PB - American Society of Mechanical Engineers

T2 - ASME 2016 Dynamic Systems and Control Conference, DSCC 2016

Y2 - 12 October 2016 through 14 October 2016

ER -

Radisavljevic-Gajic V, Milanovic M. Three-stage feedback controller design with applications to a three time-scale system. In Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation. American Society of Mechanical Engineers. 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016). doi: 10.1115/DSCC2016-9806

Three-stage feedback controller design with applications to a three time-scale system

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Keywords

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