Robust output tracking control for the systems with uncertainties

Xinkai Chen, Chun Yi Su

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A new robust tracking control is proposed for the minimum phase dynamical systems with parameter uncertainties and unmatched disturbance, where only the input-output measurement of the system is employed. The system parameters may vary slightly around their corresponding nominal values. The disturbance is assumed to be bounded. However, the upper and lower bounds are unknown. First, the frame of the control law is presented. Then, a special bounded signal is generated by the disturbance and the model uncertainties are estimated by a new non-linear method, where the upper and lower bounds of the special signal are adaptively updated online. Finally, the robust tracking control is synthesized by using the estimate of the special signal. The output tracking error can be made as small as necessary by choosing the design parameters. The attraction of the proposed method lies in its robustness to uncertainties and its ease of implementation. Example and simulation results are presented to show the effectiveness of the proposed algorithm.

Original languageEnglish
Pages (from-to)247-257
Number of pages11
JournalInternational Journal of Systems Science
Volume33
Issue number4
DOIs
Publication statusPublished - 2002 Mar 15
Externally publishedYes

Fingerprint

Dynamical systems
Uncertainty
Upper bound
Lower bounds

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Management Science and Operations Research
  • Control and Systems Engineering
  • Theoretical Computer Science

Cite this

Robust output tracking control for the systems with uncertainties. / Chen, Xinkai; Su, Chun Yi.

In: International Journal of Systems Science, Vol. 33, No. 4, 15.03.2002, p. 247-257.

Research output: Contribution to journalArticle

@article{70eaa0e801004d3795aabef9ea242425,
title = "Robust output tracking control for the systems with uncertainties",
abstract = "A new robust tracking control is proposed for the minimum phase dynamical systems with parameter uncertainties and unmatched disturbance, where only the input-output measurement of the system is employed. The system parameters may vary slightly around their corresponding nominal values. The disturbance is assumed to be bounded. However, the upper and lower bounds are unknown. First, the frame of the control law is presented. Then, a special bounded signal is generated by the disturbance and the model uncertainties are estimated by a new non-linear method, where the upper and lower bounds of the special signal are adaptively updated online. Finally, the robust tracking control is synthesized by using the estimate of the special signal. The output tracking error can be made as small as necessary by choosing the design parameters. The attraction of the proposed method lies in its robustness to uncertainties and its ease of implementation. Example and simulation results are presented to show the effectiveness of the proposed algorithm.",
author = "Xinkai Chen and Su, {Chun Yi}",
year = "2002",
month = "3",
day = "15",
doi = "10.1080/00207720110102557",
language = "English",
volume = "33",
pages = "247--257",
journal = "International Journal of Systems Science",
issn = "0020-7721",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

TY - JOUR

T1 - Robust output tracking control for the systems with uncertainties

AU - Chen, Xinkai

AU - Su, Chun Yi

PY - 2002/3/15

Y1 - 2002/3/15

N2 - A new robust tracking control is proposed for the minimum phase dynamical systems with parameter uncertainties and unmatched disturbance, where only the input-output measurement of the system is employed. The system parameters may vary slightly around their corresponding nominal values. The disturbance is assumed to be bounded. However, the upper and lower bounds are unknown. First, the frame of the control law is presented. Then, a special bounded signal is generated by the disturbance and the model uncertainties are estimated by a new non-linear method, where the upper and lower bounds of the special signal are adaptively updated online. Finally, the robust tracking control is synthesized by using the estimate of the special signal. The output tracking error can be made as small as necessary by choosing the design parameters. The attraction of the proposed method lies in its robustness to uncertainties and its ease of implementation. Example and simulation results are presented to show the effectiveness of the proposed algorithm.

AB - A new robust tracking control is proposed for the minimum phase dynamical systems with parameter uncertainties and unmatched disturbance, where only the input-output measurement of the system is employed. The system parameters may vary slightly around their corresponding nominal values. The disturbance is assumed to be bounded. However, the upper and lower bounds are unknown. First, the frame of the control law is presented. Then, a special bounded signal is generated by the disturbance and the model uncertainties are estimated by a new non-linear method, where the upper and lower bounds of the special signal are adaptively updated online. Finally, the robust tracking control is synthesized by using the estimate of the special signal. The output tracking error can be made as small as necessary by choosing the design parameters. The attraction of the proposed method lies in its robustness to uncertainties and its ease of implementation. Example and simulation results are presented to show the effectiveness of the proposed algorithm.

UR - http://www.scopus.com/inward/record.url?scp=0037088405&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037088405&partnerID=8YFLogxK

U2 - 10.1080/00207720110102557

DO - 10.1080/00207720110102557

M3 - Article

VL - 33

SP - 247

EP - 257

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 4

ER -