Fuzzy controllers with maximum sensitivity for servosystems

Radu Emil Precup, Stefan Preitl, P. Korondi

Research output: Contribution to journalArticle

58 Citations (Scopus)

Abstract

In this paper, new Takagi-Sugeno proportionalintegral-fuzzy controllers (PI-FCs) to control a class of servosystems are proposed. The controlled plants in these control systems (CSs) are of integral type. In the first phase, there are designed linear PI controllers tuned in terms of the extended symmetrical optimum method to ensure the imposed overshoot and settling time with respect to the set point and to three possible types of load disturbance inputs. The connections between the two design parameters of the linear controllers and the desired maximum sensitivity and complementary sensitivity considering one of the disturbance inputs are derived. Then, accepting the approximate equivalence between the fuzzy controllers and the linear ones in certain conditions and using the modal equivalence principle, an attractive design method for the PI-FCs is proposed. With this respect, the design method guarantees maximum imposed sensitivity and complementary sensitivity for the CSs and, therefore, good responses with respect to modifications of the set point and of the disturbance inputs, and robustness with respect to model uncertainties. An application in speed control of a nonlinear servosystem with variable load, accompanied by experimental results, is provided to validate the new results, the fuzzy controllers, and a design method.

Original languageEnglish
Pages (from-to)1298-1310
Number of pages13
JournalIEEE Transactions on Industrial Electronics
Volume54
Issue number3
DOIs
Publication statusPublished - Jun 2007

Fingerprint

Controllers
Control systems
Speed control

Keywords

  • Control systems (CSs)
  • Fuzzy control
  • Sensitivity
  • Servosystems
  • Tuning

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

Cite this

Fuzzy controllers with maximum sensitivity for servosystems. / Precup, Radu Emil; Preitl, Stefan; Korondi, P.

In: IEEE Transactions on Industrial Electronics, Vol. 54, No. 3, 06.2007, p. 1298-1310.

Research output: Contribution to journalArticle

Precup, Radu Emil ; Preitl, Stefan ; Korondi, P. / Fuzzy controllers with maximum sensitivity for servosystems. In: IEEE Transactions on Industrial Electronics. 2007 ; Vol. 54, No. 3. pp. 1298-1310.
@article{2afe4caf2007408592809fcd85c394a3,
title = "Fuzzy controllers with maximum sensitivity for servosystems",
abstract = "In this paper, new Takagi-Sugeno proportionalintegral-fuzzy controllers (PI-FCs) to control a class of servosystems are proposed. The controlled plants in these control systems (CSs) are of integral type. In the first phase, there are designed linear PI controllers tuned in terms of the extended symmetrical optimum method to ensure the imposed overshoot and settling time with respect to the set point and to three possible types of load disturbance inputs. The connections between the two design parameters of the linear controllers and the desired maximum sensitivity and complementary sensitivity considering one of the disturbance inputs are derived. Then, accepting the approximate equivalence between the fuzzy controllers and the linear ones in certain conditions and using the modal equivalence principle, an attractive design method for the PI-FCs is proposed. With this respect, the design method guarantees maximum imposed sensitivity and complementary sensitivity for the CSs and, therefore, good responses with respect to modifications of the set point and of the disturbance inputs, and robustness with respect to model uncertainties. An application in speed control of a nonlinear servosystem with variable load, accompanied by experimental results, is provided to validate the new results, the fuzzy controllers, and a design method.",
keywords = "Control systems (CSs), Fuzzy control, Sensitivity, Servosystems, Tuning",
author = "Precup, {Radu Emil} and Stefan Preitl and P. Korondi",
year = "2007",
month = "6",
doi = "10.1109/TIE.2007.893053",
language = "English",
volume = "54",
pages = "1298--1310",
journal = "IEEE Transactions on Industrial Electronics",
issn = "0278-0046",
publisher = "IEEE Industrial Electronics Society",
number = "3",

}

TY - JOUR

T1 - Fuzzy controllers with maximum sensitivity for servosystems

AU - Precup, Radu Emil

AU - Preitl, Stefan

AU - Korondi, P.

PY - 2007/6

Y1 - 2007/6

N2 - In this paper, new Takagi-Sugeno proportionalintegral-fuzzy controllers (PI-FCs) to control a class of servosystems are proposed. The controlled plants in these control systems (CSs) are of integral type. In the first phase, there are designed linear PI controllers tuned in terms of the extended symmetrical optimum method to ensure the imposed overshoot and settling time with respect to the set point and to three possible types of load disturbance inputs. The connections between the two design parameters of the linear controllers and the desired maximum sensitivity and complementary sensitivity considering one of the disturbance inputs are derived. Then, accepting the approximate equivalence between the fuzzy controllers and the linear ones in certain conditions and using the modal equivalence principle, an attractive design method for the PI-FCs is proposed. With this respect, the design method guarantees maximum imposed sensitivity and complementary sensitivity for the CSs and, therefore, good responses with respect to modifications of the set point and of the disturbance inputs, and robustness with respect to model uncertainties. An application in speed control of a nonlinear servosystem with variable load, accompanied by experimental results, is provided to validate the new results, the fuzzy controllers, and a design method.

AB - In this paper, new Takagi-Sugeno proportionalintegral-fuzzy controllers (PI-FCs) to control a class of servosystems are proposed. The controlled plants in these control systems (CSs) are of integral type. In the first phase, there are designed linear PI controllers tuned in terms of the extended symmetrical optimum method to ensure the imposed overshoot and settling time with respect to the set point and to three possible types of load disturbance inputs. The connections between the two design parameters of the linear controllers and the desired maximum sensitivity and complementary sensitivity considering one of the disturbance inputs are derived. Then, accepting the approximate equivalence between the fuzzy controllers and the linear ones in certain conditions and using the modal equivalence principle, an attractive design method for the PI-FCs is proposed. With this respect, the design method guarantees maximum imposed sensitivity and complementary sensitivity for the CSs and, therefore, good responses with respect to modifications of the set point and of the disturbance inputs, and robustness with respect to model uncertainties. An application in speed control of a nonlinear servosystem with variable load, accompanied by experimental results, is provided to validate the new results, the fuzzy controllers, and a design method.

KW - Control systems (CSs)

KW - Fuzzy control

KW - Sensitivity

KW - Servosystems

KW - Tuning

UR - http://www.scopus.com/inward/record.url?scp=40849129461&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=40849129461&partnerID=8YFLogxK

U2 - 10.1109/TIE.2007.893053

DO - 10.1109/TIE.2007.893053

M3 - Article

VL - 54

SP - 1298

EP - 1310

JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

SN - 0278-0046

IS - 3

ER -