Abstract
The design of the gain-scheduled H 2/H ∞ filter for polytopic discrete-time systems is investigated. By introducing additional slack variables, a new mixed H 2/H ∞ performance criterion is proposed, which provides a decoupling between the Lyapunov matrix and system matrices. Based on the new performance criterion, a sufficient condition for the existence of the gain-scheduled H 2/H ∞ filter is derived. Furthermore, the filter design problem is converted into a convex optimization problem with linear matrix inequality (LMI) constraints. Simulation results show the effectiveness of the proposed approach.
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