Robust Switched Filtering for Time Varying Polytopic Uncertain Systems

Abstract

This paper studies the problem of designing robust switched filters for timevarying polytopic uncertain systems. The synthesis conditions for a set of filters under a minswitching rule are derived to guarantee globally asymptotical stability with optimized robust Hâˆ‍ performance. Specifically, the conditions are expressed as bilinear matrix inequalities (BMIs) and can be solved by linear matrix inequality (LMI) optimization techniques. The proposed approach utilizes a piecewise quadratic Lyapunov function to reduce the conservativeness of robust filtering methods based on single Lyapunov function, thus better Hâˆ‍ performance can be achieved. Both continuous and discretetime robust filter designs are considered. To simplify filter implementation, a method to remove redundancy in minswitching filter members is also introduced. The advantages of the proposed robust switching filters are illustrated by several examples.