Finite time ℋ ∞ control via dynamic output feedback for linear continuous systems with norm-bounded disturbances

This paper investigates the synthesis of full order output dynamic controller for linear continuous system with norm-bounded disturbances. This controller ensures the finite time boundedness of the closed loop system and satisfies the ℋ ∞ criterion. The design conditions obtained by means of Lyapunov functions are expressed in term of linear matrix inequalities.