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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.
Date of Conference: 9-11 Dec. 2009