Controller and observer designs for discrete TS models using an efficient Lyapunov function

The present work deals with the design of control and observer for discrete Takagi-Sugeno fuzzy models. It is well-known that quadratic synthesis for discrete TS models and/or LPV systems can be outperformed easily via non quadratic syntheses. Most of these syntheses rely on Lyapunov functions found...

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Bibliographic Details
Main Authors: Kerkeni, H, Guerra, T M, Lauber, J
Format: Conference Proceeding
Language:English
Subjects:
Asymptotic stability
Lyapunov method
Numerical stability
Observers
Predictive models
Stability analysis
Takagi-Sugeno model
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Summary:The present work deals with the design of control and observer for discrete Takagi-Sugeno fuzzy models. It is well-known that quadratic synthesis for discrete TS models and/or LPV systems can be outperformed easily via non quadratic syntheses. Most of these syntheses rely on Lyapunov functions found in. Nevertheless, this work shows that a better Lyapunov function can be used with a "small" change in the initial Lyapunov function. This one can introduce very important improvements in control and/or observer design.
ISSN:1098-7584
DOI:10.1109/FUZZY.2010.5583964