Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach

Chao Sun; Fuli Wang; Xiqin He

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 986-1006
  • ISSN: 2391-5455

Abstract

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This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under H ∞ constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed H ∞ performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods.

How to cite

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Chao Sun, Fuli Wang, and Xiqin He. "Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach." Open Mathematics 14.1 (2016): 986-1006. <http://eudml.org/doc/287102>.

@article{ChaoSun2016,
abstract = {This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under H ∞ constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed H ∞ performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods.},
author = {Chao Sun, Fuli Wang, Xiqin He},
journal = {Open Mathematics},
keywords = {Fault estimation; T-S fuzzy models; Fault-tolerant control; Actuator fault compensation; Disturbance rejection; Asymptotically stable; Time-varying delay; Linear matrix inequalities; fault estimation; fault-tolerant control; actuator fault compensation; disturbance rejection; asymptotic stability; time-varying delay; linear matrix inequalities},
language = {eng},
number = {1},
pages = {986-1006},
title = {Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach},
url = {http://eudml.org/doc/287102},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Chao Sun
AU - Fuli Wang
AU - Xiqin He
TI - Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 986
EP - 1006
AB - This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under H ∞ constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed H ∞ performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods.
LA - eng
KW - Fault estimation; T-S fuzzy models; Fault-tolerant control; Actuator fault compensation; Disturbance rejection; Asymptotically stable; Time-varying delay; Linear matrix inequalities; fault estimation; fault-tolerant control; actuator fault compensation; disturbance rejection; asymptotic stability; time-varying delay; linear matrix inequalities
UR - http://eudml.org/doc/287102
ER -

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