@article {Qiu:January 2009:0020-7179:183, author = "Qiu, Jianbin", author = "Feng, Gang", author = "Yang, Jie", title = "New results on robust H filtering design for discrete-time piecewise linear delay systems", journal = "International Journal of Control", volume = "82", year = "January 2009", abstract = "This paper revisits the problem of robust H∞ filtering design for a class of discrete-time piecewise linear state-delayed systems. The state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available. The parameter uncertainties are assumed to have a structured linear fractional form. Based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional combined with Finsler's Lemma, a new delay-dependent sufficient condition for robust H∞ performance analysis is first derived and then the filter synthesis is developed. It is shown that by using a new linearisation technique, a unified framework can be developed so that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities (LMIs), which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.", pages = "183-194(12)", url = "http://www.ingentaconnect.com/content/tandf/tcon/2009/00000082/00000001/art00014" doi = "doi:10.1080/00207170802036196" }