Weighted H∞ Filtering for a Class of Switched Linear Systems with Additive Time-Varying Delays

Abstract EN

This paper is concerned with the problem of weighted H∞ filtering for a class of switched linear systems with two additive time-varying delays, which represent a general class of switched time-delay systems with strong practical background.

Combining average dwell time (ADT) technique with piecewise Lyapunov functionals, sufficient conditions are established to guarantee the exponential stability and weighted H∞ performance for the filtering error systems.

The parameters of the designed switched filters are obtained by solving linear matrix inequalities (LMIs).

A modification of Jensen integral inequality is exploited to derive results with less theoretical conservatism and computational complexity.

Finally, two examples are given to demonstrate the effectiveness of the proposed method.