Robust H∞ static output feedback control of discrete-time: Piecewise affine systems

This paper presents three different methods on static output feedback controller design for a class of discrete-time piecewise affine systems based on a piecewise Lyapunov function. It is shown that the closed-loop system is asymptotically stable with guaranteed robust H
_∞
performance, and the controller gains can be obtained by solving a set of linear matrix inequalities. Two simulation examples are also provided to illustrate the effectiveness of the proposed approaches.