Suboptimal H2 Static Output Feedback Control for Singularly Perturbed Systems

This paper proposes a new methodology to solve the suboptimal H
₂
control problem by static output feedback for singularly perturbed systems. The controller is given in terms of the solution of a set of inequalities. An algorithm is developed to solve those inequalities through LMI (linear matrix inequality) formulation. An illustrative example is given to demonstrate the effectiveness of the proposed algorithm.