H∞ estimation of discrete-time piecewise linear systems

In the present paper, we investigate the H_∞ estimation problem for a class of discrete-time switching systems in a piecewise linear form. A type of Luenberger estimator is presented to guarantee an H_∞ performance by using arguments from the Lyapunov theory. Two approaches based on linear matrix inequalities (LMIs) and bilinear matrix inequalities (BMIs) respectively are introduced. Our approaches employ S-procedure and partition-dependent slack variables to reduce design conservatism. An example is given to illustrate the proposed estimator design methods.