Non-fragile LQ fuzzy control for a class of nonlinear descriptor system with time delays

This paper focuses on non-fragile linear quadratic (LQ) fuzzy control problem for a class of nonlinear time-delayed descriptor systems with norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gain via state feedback controllers. The system is represented by Ta...

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Bibliographic Details
Published in2005 International Conference on Machine Learning and Cybernetics Vol. 2; pp. 797 - 802 Vol. 2
Main Author Jun-Sheng Ren
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Control systems
Delay effects
Fuzzy control
Linear feedback control systems
Linear matrix inequalities
linear matrix inequality (LMI)
Non-fragile linear quadratic (LQ) fuzzy control
Nonlinear control systems
nonlinear descriptor system with time delay
parallel distributed compensation (PDC)
State feedback
Takagi-Sugeno (T-S) fuzzy model
Takagi-Sugeno model
Time varying systems
Uncertainty
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Summary:This paper focuses on non-fragile linear quadratic (LQ) fuzzy control problem for a class of nonlinear time-delayed descriptor systems with norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gain via state feedback controllers. The system is represented by Takagi-Sugeno (T-S) fuzzy model. Sufficient conditions are derived for the existence of LQ fuzzy controllers in terms of linear matrix inequalities (LMI). An example is given to illustrate the use of the proposed results.
ISBN:0780390911
9780780390911
ISSN:2160-133X
DOI:10.1109/ICMLC.2005.1527052