On stabilizing fuzzy state control design for a class of Takagi-Sugeno descriptor systems

The paper focuses on the problem of state control for continuous-time nonlinear systems, represented by Takagi-Sugeno descriptor system. There are outlined two stability conditions, based on different forms of fuzzy Lyapunov function, one of which is appropriate to formulate sufficient conditions for the existence of the parallel distributed state compensators in terms of linear matrix inequalities. One example is included to illustrate the basic performances and properties of the proposed method.