New results on robust energy-to-peak filtering for discrete-time switched polytopic linear systems with time-varying delay.
The problem of delay-dependent robust energy-to-peak filtering design for a class of discrete-time switched linear systems with a time-varying state delay and polytopic uncertainties is revisited. The objective is to design a homogeneous switched linear filter guaranteeing the exponential stability of the resulting filtering error system with a minimised robust energy-to-peak disturbance attenuation level under average dwell-time switching scheme. Based on a novel delay and parameter-dependent discontinuous switched Lyapunov-Krasovskii functional combined with Finsler's lemma, a new sufficient condition for robust exponential stability and energy-to-peak performance analysis is first derived and then the corresponding filter synthesis is developed. It is shown that the filter parameters can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach in comparison with the existing approaches.
| Main Author: | Qiu, J. |
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| Other Authors: | Feng, G., Yang, J. |
| Format: | |
| Language: | English |
| Published: |
2008
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| Online Access: |
http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176146 |