<i>H</i>_<i>∞</i> Fuzzy Control of DC‐DC Converters with Input Constraint

This paper proposes a method for designing H ∞ fuzzy control of DC‐DC converters under actuator saturation. Because linear control design methods do not take into account the nonlinearity of the system, a T‐S fuzzy model and a controller design approach is used. The designed control not only handles the external disturbance but also the saturation of duty cycle. The input constraint is first transformed into a symmetric saturation which is represented by a polytopic model. Stabilization conditions for the H ∞ state feedback system of DC‐DC converters under actuator saturation are established using the Lyapunov approach. The proposed method has been compared and verified with a simulation example.