A discrete-time fuzzy disturbance observer and its application to control

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

In this paper, a discrete-time fuzzy disturbance observer (FDO) is developed and its application to the control of a nonlinear system in the presence of the internal and external disturbances is presented. To construct the discrete-time FDO, a novel tuning method is proposed and shown to be useful in adjusting the parameters of the FDO. The tuning method uses the augmented error to guarantee that the FDO monitors the disturbance and the control objective is achieved. The design parameters such as a learning rate used in constructing the discrete-time FDO are determined in a numerical manner by solving a linear matrix inequality. It is shown in a rigorous manner that both the disturbance observation error and the control error converge to a compact set of which size can be kept arbitrarily small. In addition, the relationships between the suggested FDO-based control and the conventional adaptive fuzzy controls reported in the previous literatures are discussed. Finally, some examples and computer simulation results are presented to illustrate the effectiveness and the applicability of the FDO.

Original languageEnglish
Pages (from-to)399-410
Number of pages12
JournalIEEE Transactions on Fuzzy Systems
Volume11
Issue number3
DOIs
Publication statusPublished - 2003 Jun 1

Fingerprint

Fuzzy Observer
Disturbance Observer
Discrete-time
Tuning
Disturbance
Fuzzy control
Linear matrix inequalities
Nonlinear systems
Adaptive Fuzzy Control
Learning Rate
Error Control
Parameter Design
Compact Set
Computer simulation
Matrix Inequality
Linear Inequalities
Monitor
Computer Simulation
Nonlinear Systems
Internal

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

Cite this

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A discrete-time fuzzy disturbance observer and its application to control. / Kim, Euntai.

In: IEEE Transactions on Fuzzy Systems, Vol. 11, No. 3, 01.06.2003, p. 399-410.

Research output: Contribution to journalArticle

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