Robust tracking observer-based adaptive fuzzy control design for uncertain nonlinear MIMO systems with time delayed states

Tzu Sung Wu, Mansour Karkoub, Ho Sheng Chen, Wen Shyong Yu, Ming Guo Her

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

This paper addresses the problem of designing robust observer-based adaptive fuzzy tracking control scheme for a class of MIMO nonlinear systems with plant uncertainties, time delayed uncertainties, and external disturbances. A fuzzy logic system (FLS) is utilized to approximate the unknown nonlinear functions and an adaptive fuzzy observer is introduced for state estimations. The proposed control law is based on indirect adaptive fuzzy control and uses two on-line estimations. This allows for the simultaneous inclusion of identifying gains of the delayed state uncertainties and training of the weights of the fuzzy system by introducing estimated error vectors. The advantage of employing an adaptive fuzzy system is the use of linear analytical results instead of estimating nonlinear system functions with online update laws. The adaptive fuzzy tracking control using Variable Structure (VS) control technique is derived based on Lyapunov criterion and the Riccati-inequality to resolve system uncertainties, time delayed uncertainties, and external disturbances. This is done in such a way that all states of the system are bounded and the H∞ tracking performance is achieved. Finally, a two-connected inverted pendulums on carts system (Liu et al., 2011) [29] is used for simulation purposes and some comparisons are given to illustrate the validity and effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)86-105
Number of pages20
JournalInformation Sciences
Volume290
Issue numberC
DOIs
Publication statusPublished - 2015

Fingerprint

Adaptive Fuzzy Control
MIMO Systems
Fuzzy control
MIMO systems
Control Design
Observer
Nonlinear Systems
Uncertainty
Fuzzy systems
Tracking Control
Fuzzy Control
Fuzzy Systems
Nonlinear systems
Disturbance
Fuzzy Observer
Adaptive Observer
Variable Structure Control
Variable structure control
Fuzzy Logic System
Inverted Pendulum

Keywords

  • Adaptive fuzzy observer
  • H∞ tracking control
  • Nonlinear MIMO system
  • Time delayed
  • Two inverted pendulums on carts system
  • Variable structure control

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management

Cite this

Robust tracking observer-based adaptive fuzzy control design for uncertain nonlinear MIMO systems with time delayed states. / Wu, Tzu Sung; Karkoub, Mansour; Chen, Ho Sheng; Yu, Wen Shyong; Her, Ming Guo.

In: Information Sciences, Vol. 290, No. C, 2015, p. 86-105.

Research output: Contribution to journalArticle

Wu, Tzu Sung ; Karkoub, Mansour ; Chen, Ho Sheng ; Yu, Wen Shyong ; Her, Ming Guo. / Robust tracking observer-based adaptive fuzzy control design for uncertain nonlinear MIMO systems with time delayed states. In: Information Sciences. 2015 ; Vol. 290, No. C. pp. 86-105.
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