An Alternative Stabilization Approach for Delayed Takagi-Sugeno Discrete Fuzzy Systems

The focus of this study is on the stability and stabilization of constant delay Takagi-Sngeno Fuzzy, TSF systems. We adopt a recently proposed approach based on the products of local matrix norms. This approach is initially used for evaluating stability of state delayed systems with constant retarda...

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Bibliographic Details
Main Authors: Hamadou, Meroua, Belarbi, Khaled
Format: Conference Proceeding
Language:English
Subjects:
Closed loop systems
Delay effects
Delays
fuzzy controller
Linear matrix inequalities
matrices norms
Minimization
PD control
state delayed TSF systems
Takagi-Sugeno model
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Summary:The focus of this study is on the stability and stabilization of constant delay Takagi-Sngeno Fuzzy, TSF systems. We adopt a recently proposed approach based on the products of local matrix norms. This approach is initially used for evaluating stability of state delayed systems with constant retardance. Thereafter, stability conditions for closed-loop controlled plant are established. In light of these results, a TSF controller design approach, PDC, is introduced to stabilize the closed-loop system. An example of stabilization of a state delayed TSF system illustrates the application of the obtained results.
ISSN:2573-539X
DOI:10.1109/STA56120.2022.10019195