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

作者：Zhang Hui; Liu Mingxi; Shi Yang^*; Sheng Jie

来源：Optimal Control Applications and Methods, 2014, 35(6): 647-655.

DOI：10.1002/oca.2092

• Takagi-Sugeno fuzzy system
• parallel distributed compensation (PDC)
• LMI

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.

• 出版日期2014-12