Suboptimal h∞ dynamic output feedback control for singularly perturbed systems

This paper proposes a new methodology to design a suboptimal H_∞ dynamic output feedback control for singularly perturbed systems. A standard "singularly perturbed" closed-loop system is obtained by a permutation of the original closed-loop system. The controller is constructed in terms of solving a set of inequalities. An algorithm is given to solve those inequalities through iterative LMI (linear matrix inequality) formulation. An example demonstrates that the results are better than the standard time-scale decomposition method.