Simulation and control of Takagi-Sugeno uncertain model of buck converter by linear programming

This paper deals with the problem of stabilization and reference input tracking by fuzzy PDC controller of discrete Takagi-Sugeno (T-S) uncertain model of Buck converter by linear programming (LP) while imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov-Krasovskii Functional (LKF). Simulation results by linear programming methods are given to illustrate the validity of the proposed method.