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

摘要

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.