H∞ control for a class of switched fuzzy systems via output feedback

The H
_∞
control problem is investigated for a class of switched fuzzy systems via output feedback. The solvability for the H
_∞
control problem of each fuzzy system is not assumed. A static output feedback control law and a switching law are designed such that the H
_∞
control problem of the closed loop switched fuzzy system is solvable based on the multiple Lyapunov functions method. Finally, an algorithm is provided to solve the matrix inequalities.