Stability and Stabilization of Positive Interconnected Takagi-Sugeno Fuzzy Discrete-Time Systems Using the LP Approach

This document deals with the problem of stability and stabilization of large-scale systems described by Takagi-Sugeno interconnected fuzzy models in discrete-time, while imposing positivity in a closed loop. The system is controlled by state feedback control law. The suitable Lyapunov function is used to present the sufficient conditions results. Therefore, linear programming is the method employed in this new work. To demonstrate the benefits of the design process, a numerical example is examined.