Adaptive feedforward and feedback control of non-linear time-varying uncertain systems

Wei Wu, Yi Shyong Chou

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

An adaptive regulation scheme is proposed for a class of non-linear time-varying systems with parametric uncertainties. The proposed approach is based upon a combination of the adaptive backstepping design method and a feedforward control scheme to design a non-linear adaptive feedforward and feedback controller, such that robust output tracking can be achieved even in the presence of structured uncertainties, as well as time-varying, measurable disturbances. Although the systematic design procedure does not a priori satisfy the feedback linearizable system with triangular structures, however, the constructed condition must be satisfied to ensure that the control scheme has a stable inversion. Under the feasibility condition, the states of the resulting closed-loop system would be guaranteed boundedness and converge to a bounded set. Finally, the proposed methodology is illustrated by a chemical reactor example.

Original languageEnglish
Pages (from-to)1127-1138
Number of pages12
JournalInternational Journal of Control
Volume72
Issue number12
DOIs
Publication statusPublished - 1999 Jan 1

Fingerprint

Feedforward control
Uncertain systems
Feedback control
Feedback
Chemical reactors
Backstepping
Time varying systems
Closed loop systems
Controllers
Uncertainty

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications

Cite this

@article{c8062470639143808f2be785c286c517,
title = "Adaptive feedforward and feedback control of non-linear time-varying uncertain systems",
abstract = "An adaptive regulation scheme is proposed for a class of non-linear time-varying systems with parametric uncertainties. The proposed approach is based upon a combination of the adaptive backstepping design method and a feedforward control scheme to design a non-linear adaptive feedforward and feedback controller, such that robust output tracking can be achieved even in the presence of structured uncertainties, as well as time-varying, measurable disturbances. Although the systematic design procedure does not a priori satisfy the feedback linearizable system with triangular structures, however, the constructed condition must be satisfied to ensure that the control scheme has a stable inversion. Under the feasibility condition, the states of the resulting closed-loop system would be guaranteed boundedness and converge to a bounded set. Finally, the proposed methodology is illustrated by a chemical reactor example.",
author = "Wei Wu and Chou, {Yi Shyong}",
year = "1999",
month = "1",
day = "1",
doi = "10.1080/002071799220489",
language = "English",
volume = "72",
pages = "1127--1138",
journal = "International Journal of Control",
issn = "0020-7179",
publisher = "Taylor and Francis Ltd.",
number = "12",

}

Adaptive feedforward and feedback control of non-linear time-varying uncertain systems. / Wu, Wei; Chou, Yi Shyong.

In: International Journal of Control, Vol. 72, No. 12, 01.01.1999, p. 1127-1138.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Adaptive feedforward and feedback control of non-linear time-varying uncertain systems

AU - Wu, Wei

AU - Chou, Yi Shyong

PY - 1999/1/1

Y1 - 1999/1/1

N2 - An adaptive regulation scheme is proposed for a class of non-linear time-varying systems with parametric uncertainties. The proposed approach is based upon a combination of the adaptive backstepping design method and a feedforward control scheme to design a non-linear adaptive feedforward and feedback controller, such that robust output tracking can be achieved even in the presence of structured uncertainties, as well as time-varying, measurable disturbances. Although the systematic design procedure does not a priori satisfy the feedback linearizable system with triangular structures, however, the constructed condition must be satisfied to ensure that the control scheme has a stable inversion. Under the feasibility condition, the states of the resulting closed-loop system would be guaranteed boundedness and converge to a bounded set. Finally, the proposed methodology is illustrated by a chemical reactor example.

AB - An adaptive regulation scheme is proposed for a class of non-linear time-varying systems with parametric uncertainties. The proposed approach is based upon a combination of the adaptive backstepping design method and a feedforward control scheme to design a non-linear adaptive feedforward and feedback controller, such that robust output tracking can be achieved even in the presence of structured uncertainties, as well as time-varying, measurable disturbances. Although the systematic design procedure does not a priori satisfy the feedback linearizable system with triangular structures, however, the constructed condition must be satisfied to ensure that the control scheme has a stable inversion. Under the feasibility condition, the states of the resulting closed-loop system would be guaranteed boundedness and converge to a bounded set. Finally, the proposed methodology is illustrated by a chemical reactor example.

UR - http://www.scopus.com/inward/record.url?scp=0344240878&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0344240878&partnerID=8YFLogxK

U2 - 10.1080/002071799220489

DO - 10.1080/002071799220489

M3 - Article

AN - SCOPUS:0344240878

VL - 72

SP - 1127

EP - 1138

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 12

ER -