Robust H∞ static output feedback control of multimodel systems with parametric uncertainties

This paper addresses robust H
_∞
static output feedback control problem for multimodel systems with time-varying normbounded uncertainties. Sufficient conditions for synthesis of a static output feedback controller are derived in terms of a set of linear matrix inequalities (LMIs). The effectiveness of the proposed design method is demonstrated by an example for the control of a multimodel constituted by a second order and a third order submodels.