Structural control of distributed parameter systems by output feedback

Shih-Ming Yang, C. A. Jeng

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Most of the controller design in distributed parameter systems requires not only the measurement and/or estimation of distributed states, but also the feedback gain in a function of time and spatial coordinates. These requirements are difficult, if not impossible, to meet in engineering implementation. An output feedback algorithm for the structural control of distributed parameter systems is presented in this paper. The algorithm employs a solution technique to simplify the functional Riccati equation into a set of algebraic equations such that sensor and actuator can be applied at discrete, instead of distributed, locations in the structure systems. The control law does not require any model discretization thereby preventing the spillover associated with discrete parameter models. An example of a slewing beam system in distributed parameter model is employed to demonstrate that the bending vibration can be effectively suppressed by a control input at the hub together with a minimal set of output measurements. The performance of the controller is shown superior to that of discrete systems using modal truncation techniques.

Original languageEnglish
Pages (from-to)322-327
Number of pages6
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume120
Issue number3
DOIs
Publication statusPublished - 1998 Jan 1

Fingerprint

distributed parameter systems
Feedback
output
controllers
slewing
Riccati equation
Controllers
hubs
bending vibration
Riccati equations
Actuators
actuators
engineering
requirements
sensors
Sensors
approximation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications

Cite this

@article{42c69b5229ae4604acded2265b228061,
title = "Structural control of distributed parameter systems by output feedback",
abstract = "Most of the controller design in distributed parameter systems requires not only the measurement and/or estimation of distributed states, but also the feedback gain in a function of time and spatial coordinates. These requirements are difficult, if not impossible, to meet in engineering implementation. An output feedback algorithm for the structural control of distributed parameter systems is presented in this paper. The algorithm employs a solution technique to simplify the functional Riccati equation into a set of algebraic equations such that sensor and actuator can be applied at discrete, instead of distributed, locations in the structure systems. The control law does not require any model discretization thereby preventing the spillover associated with discrete parameter models. An example of a slewing beam system in distributed parameter model is employed to demonstrate that the bending vibration can be effectively suppressed by a control input at the hub together with a minimal set of output measurements. The performance of the controller is shown superior to that of discrete systems using modal truncation techniques.",
author = "Shih-Ming Yang and Jeng, {C. A.}",
year = "1998",
month = "1",
day = "1",
doi = "10.1115/1.2805404",
language = "English",
volume = "120",
pages = "322--327",
journal = "Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME",
issn = "0022-0434",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "3",

}

Structural control of distributed parameter systems by output feedback. / Yang, Shih-Ming; Jeng, C. A.

In: Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, Vol. 120, No. 3, 01.01.1998, p. 322-327.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Structural control of distributed parameter systems by output feedback

AU - Yang, Shih-Ming

AU - Jeng, C. A.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - Most of the controller design in distributed parameter systems requires not only the measurement and/or estimation of distributed states, but also the feedback gain in a function of time and spatial coordinates. These requirements are difficult, if not impossible, to meet in engineering implementation. An output feedback algorithm for the structural control of distributed parameter systems is presented in this paper. The algorithm employs a solution technique to simplify the functional Riccati equation into a set of algebraic equations such that sensor and actuator can be applied at discrete, instead of distributed, locations in the structure systems. The control law does not require any model discretization thereby preventing the spillover associated with discrete parameter models. An example of a slewing beam system in distributed parameter model is employed to demonstrate that the bending vibration can be effectively suppressed by a control input at the hub together with a minimal set of output measurements. The performance of the controller is shown superior to that of discrete systems using modal truncation techniques.

AB - Most of the controller design in distributed parameter systems requires not only the measurement and/or estimation of distributed states, but also the feedback gain in a function of time and spatial coordinates. These requirements are difficult, if not impossible, to meet in engineering implementation. An output feedback algorithm for the structural control of distributed parameter systems is presented in this paper. The algorithm employs a solution technique to simplify the functional Riccati equation into a set of algebraic equations such that sensor and actuator can be applied at discrete, instead of distributed, locations in the structure systems. The control law does not require any model discretization thereby preventing the spillover associated with discrete parameter models. An example of a slewing beam system in distributed parameter model is employed to demonstrate that the bending vibration can be effectively suppressed by a control input at the hub together with a minimal set of output measurements. The performance of the controller is shown superior to that of discrete systems using modal truncation techniques.

UR - http://www.scopus.com/inward/record.url?scp=1642599465&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1642599465&partnerID=8YFLogxK

U2 - 10.1115/1.2805404

DO - 10.1115/1.2805404

M3 - Article

VL - 120

SP - 322

EP - 327

JO - Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

JF - Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

SN - 0022-0434

IS - 3

ER -