The design of H. control methodology for non-linear systems to guarantee the tracking behaviour in the sense of input-output spheres

Cheng Neng Hwang, Shun-Min Wang, Chung Tao Chang

Research output: Contribution to journalArticle

Abstract

A general non-linear system usually contains some uncertainties, such as plant parameter variations and uncertain inputs, which may make desired system performance hard to be achieved or even cause the closed-loop system unstable. An H control design methodology based on the tracking behaviour in the sense of input-output spheres is proposed in this study to ensure that the system output is bounded in the desired output sphere while an uncertain input, which is described in an input sphere, is applied to the system. The loop-shaping technique is applied in the proposed design procedure to guarantee the system robustness against disturbances and uncertainties. To attest the feasibility of the proposed methodology, a non-linear inverted pendulum is then studied. The computer simulation results reveal that the proposed methodology can achieve the desired performance with good tracking behaviour in the sense of input-output spheres by effectively rejecting the disturbances and uncertainties of this system.

Original languageEnglish
Pages (from-to)34-48
Number of pages15
JournalInternational Journal of Intelligent Systems Technologies and Applications
Volume9
Issue number1
DOIs
Publication statusPublished - 2010 Jan 1

Fingerprint

Nonlinear systems
Pendulums
Closed loop systems
Computer simulation
Uncertainty

All Science Journal Classification (ASJC) codes

  • Computer Science(all)

Cite this

@article{cce3819af4e0499c9e38e1c4789b0ead,
title = "The design of H. control methodology for non-linear systems to guarantee the tracking behaviour in the sense of input-output spheres",
abstract = "A general non-linear system usually contains some uncertainties, such as plant parameter variations and uncertain inputs, which may make desired system performance hard to be achieved or even cause the closed-loop system unstable. An H control design methodology based on the tracking behaviour in the sense of input-output spheres is proposed in this study to ensure that the system output is bounded in the desired output sphere while an uncertain input, which is described in an input sphere, is applied to the system. The loop-shaping technique is applied in the proposed design procedure to guarantee the system robustness against disturbances and uncertainties. To attest the feasibility of the proposed methodology, a non-linear inverted pendulum is then studied. The computer simulation results reveal that the proposed methodology can achieve the desired performance with good tracking behaviour in the sense of input-output spheres by effectively rejecting the disturbances and uncertainties of this system.",
author = "Hwang, {Cheng Neng} and Shun-Min Wang and Chang, {Chung Tao}",
year = "2010",
month = "1",
day = "1",
doi = "10.1504/IJISTA.2010.033895",
language = "English",
volume = "9",
pages = "34--48",
journal = "International Journal of Intelligent Systems Technologies and Applications",
issn = "1740-8865",
publisher = "Inderscience Publishers",
number = "1",

}

TY - JOUR

T1 - The design of H. control methodology for non-linear systems to guarantee the tracking behaviour in the sense of input-output spheres

AU - Hwang, Cheng Neng

AU - Wang, Shun-Min

AU - Chang, Chung Tao

PY - 2010/1/1

Y1 - 2010/1/1

N2 - A general non-linear system usually contains some uncertainties, such as plant parameter variations and uncertain inputs, which may make desired system performance hard to be achieved or even cause the closed-loop system unstable. An H control design methodology based on the tracking behaviour in the sense of input-output spheres is proposed in this study to ensure that the system output is bounded in the desired output sphere while an uncertain input, which is described in an input sphere, is applied to the system. The loop-shaping technique is applied in the proposed design procedure to guarantee the system robustness against disturbances and uncertainties. To attest the feasibility of the proposed methodology, a non-linear inverted pendulum is then studied. The computer simulation results reveal that the proposed methodology can achieve the desired performance with good tracking behaviour in the sense of input-output spheres by effectively rejecting the disturbances and uncertainties of this system.

AB - A general non-linear system usually contains some uncertainties, such as plant parameter variations and uncertain inputs, which may make desired system performance hard to be achieved or even cause the closed-loop system unstable. An H control design methodology based on the tracking behaviour in the sense of input-output spheres is proposed in this study to ensure that the system output is bounded in the desired output sphere while an uncertain input, which is described in an input sphere, is applied to the system. The loop-shaping technique is applied in the proposed design procedure to guarantee the system robustness against disturbances and uncertainties. To attest the feasibility of the proposed methodology, a non-linear inverted pendulum is then studied. The computer simulation results reveal that the proposed methodology can achieve the desired performance with good tracking behaviour in the sense of input-output spheres by effectively rejecting the disturbances and uncertainties of this system.

UR - http://www.scopus.com/inward/record.url?scp=84951716830&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84951716830&partnerID=8YFLogxK

U2 - 10.1504/IJISTA.2010.033895

DO - 10.1504/IJISTA.2010.033895

M3 - Article

VL - 9

SP - 34

EP - 48

JO - International Journal of Intelligent Systems Technologies and Applications

JF - International Journal of Intelligent Systems Technologies and Applications

SN - 1740-8865

IS - 1

ER -