An LPD approach to robust H2 and H∞ static output-feedback design

A linear parameter dependent approach for designing a constant output feedback controller for a linear time-invariant system with uncertain parameters that achieves a minimum bound on either the H₂ or H_∞ performance level is introduced. Assuming that the uncertain parameters reside in a given polytope, a parameter dependent Lyapunov function is described which enables the derivation of the required constant gain via a solution of a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope.