A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes

Verica Radisavljevic-Gajic

doi:10.1115/DSCC2014-6278

A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes

Verica Radisavljevic-Gajic

Villanova University

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

Abstract

In this paper we have shown how to simplify an algorithm for the two stage design of linear feedback controllers by reducing computational requirements. The algorithm is further simplified for linear discrete-time systems with slow and fast modes (multi-time scale systems or singularly perturbed systems) providing independent and accurate designs in slow and fast time scales. The simplified design procedure and its very high accuracy are demonstrated on the eigenvalue assignment problem of a steam power system.

Original language	English
Title of host publication	Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy
Publisher	American Society of Mechanical Engineers
ISBN (Electronic)	9780791846209
DOIs	https://doi.org/10.1115/DSCC2014-6278
State	Published - 2014
Externally published	Yes
Event	ASME 2014 Dynamic Systems and Control Conference, DSCC 2014 - San Antonio, United States Duration: 22 Oct 2014 → 24 Oct 2014

Publication series

Name	ASME 2014 Dynamic Systems and Control Conference, DSCC 2014
Volume	3

Conference

Conference	ASME 2014 Dynamic Systems and Control Conference, DSCC 2014
Country/Territory	United States
City	San Antonio
Period	22/10/14 → 24/10/14

Access to Document

10.1115/DSCC2014-6278

Cite this

Radisavljevic-Gajic, V. (2014). A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes. In Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy (ASME 2014 Dynamic Systems and Control Conference, DSCC 2014; Vol. 3). American Society of Mechanical Engineers. https://doi.org/10.1115/DSCC2014-6278

Radisavljevic-Gajic, Verica. / A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes. Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy. American Society of Mechanical Engineers, 2014. (ASME 2014 Dynamic Systems and Control Conference, DSCC 2014).

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title = "A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes",

abstract = "In this paper we have shown how to simplify an algorithm for the two stage design of linear feedback controllers by reducing computational requirements. The algorithm is further simplified for linear discrete-time systems with slow and fast modes (multi-time scale systems or singularly perturbed systems) providing independent and accurate designs in slow and fast time scales. The simplified design procedure and its very high accuracy are demonstrated on the eigenvalue assignment problem of a steam power system.",

author = "Verica Radisavljevic-Gajic",

note = "Publisher Copyright: {\textcopyright} 2014 by ASME.; ASME 2014 Dynamic Systems and Control Conference, DSCC 2014 ; Conference date: 22-10-2014 Through 24-10-2014",

year = "2014",

doi = "10.1115/DSCC2014-6278",

language = "English",

series = "ASME 2014 Dynamic Systems and Control Conference, DSCC 2014",

publisher = "American Society of Mechanical Engineers",

booktitle = "Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy",

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Radisavljevic-Gajic, V 2014, A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes. in Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy. ASME 2014 Dynamic Systems and Control Conference, DSCC 2014, vol. 3, American Society of Mechanical Engineers, ASME 2014 Dynamic Systems and Control Conference, DSCC 2014, San Antonio, United States, 22/10/14. https://doi.org/10.1115/DSCC2014-6278

A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes. / Radisavljevic-Gajic, Verica.
Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy. American Society of Mechanical Engineers, 2014. (ASME 2014 Dynamic Systems and Control Conference, DSCC 2014; Vol. 3).

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

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AU - Radisavljevic-Gajic, Verica

PY - 2014

Y1 - 2014

N2 - In this paper we have shown how to simplify an algorithm for the two stage design of linear feedback controllers by reducing computational requirements. The algorithm is further simplified for linear discrete-time systems with slow and fast modes (multi-time scale systems or singularly perturbed systems) providing independent and accurate designs in slow and fast time scales. The simplified design procedure and its very high accuracy are demonstrated on the eigenvalue assignment problem of a steam power system.

AB - In this paper we have shown how to simplify an algorithm for the two stage design of linear feedback controllers by reducing computational requirements. The algorithm is further simplified for linear discrete-time systems with slow and fast modes (multi-time scale systems or singularly perturbed systems) providing independent and accurate designs in slow and fast time scales. The simplified design procedure and its very high accuracy are demonstrated on the eigenvalue assignment problem of a steam power system.

UR - https://www.scopus.com/pages/publications/84929239884

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DO - 10.1115/DSCC2014-6278

M3 - Conference contribution

AN - SCOPUS:84929239884

T3 - ASME 2014 Dynamic Systems and Control Conference, DSCC 2014

BT - Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy

PB - American Society of Mechanical Engineers

T2 - ASME 2014 Dynamic Systems and Control Conference, DSCC 2014

Y2 - 22 October 2014 through 24 October 2014

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Radisavljevic-Gajic V. A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes. In Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy. American Society of Mechanical Engineers. 2014. (ASME 2014 Dynamic Systems and Control Conference, DSCC 2014). doi: 10.1115/DSCC2014-6278

A simplified two-stage design of linear discrete-time feedback controllers with applications to systems with slow and fast modes

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