Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.

The authors deal with mode and parameter-dependent robust mixed H2/H1 filtering design for a class of discrete-time switched polytopic linear systems. The objective is to design a homogeneous switched mixed H2/ H1 filter guaranteeing the asymptotic stability of the resulting filtering error systems with given performance measures. Based on a switched parameter-dependent Lyapunov function combined with Finsler's lemma, some novel conditions for robust H2 and H1 performance analysis are proposed and in turn the filter synthesis is developed. It is shown that by using a new linearisation technique combined with a bounding approach, the filter gains can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.

Main Author: Qiu, J.
Other Authors: Feng, G., Yang, J.
Language: English
Published: 2007
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176161