A robust quadratic stabilization synthesis for uncertain systems based on T-S fuzzy model

The problem of quadratic stability for a class of uncertain nonlinear systems using Takagi-Sugeno fuzzy model is solved and certain relaxed conditions are derived. Firstly, a new robust quadratic stability condition via designing state feedback controller for T-S fuzzy system with uncertainties is d...

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Bibliographic Details
Main Authors: Stankovski, M., Stojanovski, G., Nadzinski, G., Zhaona Chen
Format: Conference Proceeding
Language:English
Subjects:
Fuzzy control
Fuzzy system models
nonlinear plants
Nonlinear systems
Output feedback
quadratic stability
Robustness
Stability analysis
uncertainties
Uncertainty
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Summary:The problem of quadratic stability for a class of uncertain nonlinear systems using Takagi-Sugeno fuzzy model is solved and certain relaxed conditions are derived. Firstly, a new robust quadratic stability condition via designing state feedback controller for T-S fuzzy system with uncertainties is derived. This condition is represented in the form of LMI and it is shown to be less conservative than similar known relaxed quadratic stabilization conditions in recent literature. Secondly, a dynamic output feedback control design for complex nonlinear systems represented by T-S fuzzy model is derived. These new techniques consider the interactions among all fuzzy subsystems. Finally, the applicability and validity of the proposed approach are demonstrated by means control design and simulation results for an illustrative example.
ISSN:1541-1672
1941-1294
DOI:10.1109/IS.2012.6335233