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\(l_2-l_\infty\) filtering for multirate systems based on lifted models. (English) Zbl 1173.93360

Summary: For a multirate sample-data system where the output sampling rate is slower than the input updating rate, we study the \(l_2-l_\infty\) filtering problems for fast state estimation by using the lifted model. The filtering problem is handled in the framework of linear matrix inequalities with a nonconvex constraint, which is numerically solved by the product reduction algorithm. Finally, the effectiveness of the proposed method is illustrated and verified by simulation examples.

MSC:

93C57 Sampled-data control/observation systems
93C35 Multivariable systems, multidimensional control systems
93C55 Discrete-time control/observation systems
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