H∞ static output feedback control for constrained uncertain linear systems

To simplify the design and realization of controller, the method of robust H∞ static output feedback is discussed in this paper. A sufficient condition that satisfies given performance index is presented for constrained system, and an H∞ static output feedback control design method is proposed. By converting the constrained conditions and the elliptical set that contains output trajectory into a set of LMI constraints and introducing the constraints into the optimization problem, a H∞ static output feedback control is presented. The proposed method is simpler in construction and implementation.