Impulsive robust control with peak gain constraints using LMIS

This article addresses the problem of controlling a continuous linear system subject to a continuous perturbation by a series of impulses. The approach follows a H^∞ setting based on state feedback. A second observation of the state is further considered to designate state variables for which the system is sensitive to peak values. A constraint is introduced in the form of a maximum admissible initial state to peak value gain. The problem is address using semidefinite programming.