Design of reduced-order controllers using a set of measurements: Application to a DC servomotor

S. Khadraoui, Hazem Nounou, Mohamed Nounou, A. Datta, S. P. Bhattacharyya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a new control design approach for unknown SISO systems by using measurements. In control approaches existing in the literature, controllers are usually designed on the basis of mathematical models obtained by either using physical laws or via identification system using a set of measured data. However, due to the complex dynamics of real systems, such parametric models are only an approximation obtained after some simplifying assumptions. Therefore, the design of controllers based on a simplified model leads to a degradation in the expected performance for the closed-loop system. Our proposed approach is based on measurements to directly design controllers without going through the use of mathematical models. The principle of the proposed control methodology is to design fixed-structure controllers for which the error modulus between the closed-loop frequency response and a desired frequency response is bounded by given quantity. This problem is formulated as a nonlinear programming problem based on inequality constraints. The main advantage of our proposed approach is that the controller design is based only on a set of measurements, which allows to avoid errors associated with the identification process. Moreover, with such a proposed control method, it is guaranteed that the error between the computed and desired closed-loop frequency responses is less than a small quantity. Another feature of the proposed technique is that the structure of the controller can be selected a priori, which allows to design low-order controllers. A simulation application to measurement-based controller design for DC servomotors is presented to validate and illustrate the efficacy of the proposed approach.

Original languageEnglish
Title of host publication2013 American Control Conference, ACC 2013
Pages4331-4336
Number of pages6
Publication statusPublished - 2013
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: 17 Jun 201319 Jun 2013

Other

Other2013 1st American Control Conference, ACC 2013
CountryUnited States
CityWashington, DC
Period17/6/1319/6/13

Fingerprint

Servomotors
Controllers
Frequency response
Mathematical models
Nonlinear programming
Closed loop systems
Identification (control systems)
Degradation

Keywords

  • Complex systems
  • Frequency response
  • Measurement-based control
  • Model identification
  • Performance achievement
  • Reduced-order controller

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Khadraoui, S., Nounou, H., Nounou, M., Datta, A., & Bhattacharyya, S. P. (2013). Design of reduced-order controllers using a set of measurements: Application to a DC servomotor. In 2013 American Control Conference, ACC 2013 (pp. 4331-4336). [6580506]

Design of reduced-order controllers using a set of measurements : Application to a DC servomotor. / Khadraoui, S.; Nounou, Hazem; Nounou, Mohamed; Datta, A.; Bhattacharyya, S. P.

2013 American Control Conference, ACC 2013. 2013. p. 4331-4336 6580506.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Khadraoui, S, Nounou, H, Nounou, M, Datta, A & Bhattacharyya, SP 2013, Design of reduced-order controllers using a set of measurements: Application to a DC servomotor. in 2013 American Control Conference, ACC 2013., 6580506, pp. 4331-4336, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 17/6/13.
Khadraoui S, Nounou H, Nounou M, Datta A, Bhattacharyya SP. Design of reduced-order controllers using a set of measurements: Application to a DC servomotor. In 2013 American Control Conference, ACC 2013. 2013. p. 4331-4336. 6580506
Khadraoui, S. ; Nounou, Hazem ; Nounou, Mohamed ; Datta, A. ; Bhattacharyya, S. P. / Design of reduced-order controllers using a set of measurements : Application to a DC servomotor. 2013 American Control Conference, ACC 2013. 2013. pp. 4331-4336
@inproceedings{87ec06d652004a0b8c2e6bcba717277d,
title = "Design of reduced-order controllers using a set of measurements: Application to a DC servomotor",
abstract = "This paper presents a new control design approach for unknown SISO systems by using measurements. In control approaches existing in the literature, controllers are usually designed on the basis of mathematical models obtained by either using physical laws or via identification system using a set of measured data. However, due to the complex dynamics of real systems, such parametric models are only an approximation obtained after some simplifying assumptions. Therefore, the design of controllers based on a simplified model leads to a degradation in the expected performance for the closed-loop system. Our proposed approach is based on measurements to directly design controllers without going through the use of mathematical models. The principle of the proposed control methodology is to design fixed-structure controllers for which the error modulus between the closed-loop frequency response and a desired frequency response is bounded by given quantity. This problem is formulated as a nonlinear programming problem based on inequality constraints. The main advantage of our proposed approach is that the controller design is based only on a set of measurements, which allows to avoid errors associated with the identification process. Moreover, with such a proposed control method, it is guaranteed that the error between the computed and desired closed-loop frequency responses is less than a small quantity. Another feature of the proposed technique is that the structure of the controller can be selected a priori, which allows to design low-order controllers. A simulation application to measurement-based controller design for DC servomotors is presented to validate and illustrate the efficacy of the proposed approach.",
keywords = "Complex systems, Frequency response, Measurement-based control, Model identification, Performance achievement, Reduced-order controller",
author = "S. Khadraoui and Hazem Nounou and Mohamed Nounou and A. Datta and Bhattacharyya, {S. P.}",
year = "2013",
language = "English",
isbn = "9781479901777",
pages = "4331--4336",
booktitle = "2013 American Control Conference, ACC 2013",

}

TY - GEN

T1 - Design of reduced-order controllers using a set of measurements

T2 - Application to a DC servomotor

AU - Khadraoui, S.

AU - Nounou, Hazem

AU - Nounou, Mohamed

AU - Datta, A.

AU - Bhattacharyya, S. P.

PY - 2013

Y1 - 2013

N2 - This paper presents a new control design approach for unknown SISO systems by using measurements. In control approaches existing in the literature, controllers are usually designed on the basis of mathematical models obtained by either using physical laws or via identification system using a set of measured data. However, due to the complex dynamics of real systems, such parametric models are only an approximation obtained after some simplifying assumptions. Therefore, the design of controllers based on a simplified model leads to a degradation in the expected performance for the closed-loop system. Our proposed approach is based on measurements to directly design controllers without going through the use of mathematical models. The principle of the proposed control methodology is to design fixed-structure controllers for which the error modulus between the closed-loop frequency response and a desired frequency response is bounded by given quantity. This problem is formulated as a nonlinear programming problem based on inequality constraints. The main advantage of our proposed approach is that the controller design is based only on a set of measurements, which allows to avoid errors associated with the identification process. Moreover, with such a proposed control method, it is guaranteed that the error between the computed and desired closed-loop frequency responses is less than a small quantity. Another feature of the proposed technique is that the structure of the controller can be selected a priori, which allows to design low-order controllers. A simulation application to measurement-based controller design for DC servomotors is presented to validate and illustrate the efficacy of the proposed approach.

AB - This paper presents a new control design approach for unknown SISO systems by using measurements. In control approaches existing in the literature, controllers are usually designed on the basis of mathematical models obtained by either using physical laws or via identification system using a set of measured data. However, due to the complex dynamics of real systems, such parametric models are only an approximation obtained after some simplifying assumptions. Therefore, the design of controllers based on a simplified model leads to a degradation in the expected performance for the closed-loop system. Our proposed approach is based on measurements to directly design controllers without going through the use of mathematical models. The principle of the proposed control methodology is to design fixed-structure controllers for which the error modulus between the closed-loop frequency response and a desired frequency response is bounded by given quantity. This problem is formulated as a nonlinear programming problem based on inequality constraints. The main advantage of our proposed approach is that the controller design is based only on a set of measurements, which allows to avoid errors associated with the identification process. Moreover, with such a proposed control method, it is guaranteed that the error between the computed and desired closed-loop frequency responses is less than a small quantity. Another feature of the proposed technique is that the structure of the controller can be selected a priori, which allows to design low-order controllers. A simulation application to measurement-based controller design for DC servomotors is presented to validate and illustrate the efficacy of the proposed approach.

KW - Complex systems

KW - Frequency response

KW - Measurement-based control

KW - Model identification

KW - Performance achievement

KW - Reduced-order controller

UR - http://www.scopus.com/inward/record.url?scp=84883509913&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883509913&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84883509913

SN - 9781479901777

SP - 4331

EP - 4336

BT - 2013 American Control Conference, ACC 2013

ER -