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# Robust ℋ∞ memory filters for uncertain discrete-time linear systems

@article{Frezzatto2015RobustM, title={Robust ℋ∞ memory filters for uncertain discrete-time linear systems}, author={Luciano Frezzatto and Marcio J. Lacerda and Ricardo C. L. F. Oliveira and Pedro Luis Dias Peres}, journal={2015 American Control Conference (ACC)}, year={2015}, pages={4004-4009} }

- Published 2015 in 2015 American Control Conference (ACC)
DOI:10.1109/ACC.2015.7171955

This paper is concerned with the problem of robust full-order ℋ∞ filter design for uncertain discrete-time linear systems. The uncertainties are supposed to be time-invariant and to belong to a polytopic domain. The main novelty is the fact that the filter contains an arbitrary number of past states and past system output measures, yielding a filtering system with memory. Linear matrix inequality relaxations based on polynomially parameter-dependent Lyapunov matrices and slack variables are… CONTINUE READING