Stability and stabilization of positive Takagi-Sugeno fuzzy continuous systems with delay by linear programming

Abstract

This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a fixed delay by linear programming (LP) while imposing positivity in closed-loop. The sufficient conditions of stabilization are derived using the single Lyapunov-Krasovskii Functional (LKF). An example of a real plant is studied, and the comparison between LMI and LP approach is presented to show the advantages of the design procedure.