Extended LMI representatives for stability and stabilization of discrete‐time Takagi‐Sugeno fuzzy systems
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Abstract
SUMMARY 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. Copyright © 2013 John Wiley & Sons, Ltd.
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