Extended LMI representatives for stability and stabilization of discrete-time Takagi-Sugeno fuzzy systems

Extended LMI representatives for stability and stabilization of discrete-time Takagi-Sugeno fuzzy systems

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Article ID: iaor201522436
Volume: 35
Issue: 6
Start Page Number: 647
End Page Number: 655
Publication Date: Nov 2014
Journal: Optimal Control Applications and Methods
Authors: , , ,
Keywords: optimization
Abstract:

In this paper, we study the stability conditions and stabilization problem of Takagi‐Sugeno systems under the discrete‐time framework. By introducing slack matrices, we obtain extended stability condition in an LMI form. Both parallel distributed compensation (PDC) control law, and non‐PDC control law are studied. Finally, we give an example to compare our results with other methods.

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