Abstract
The problem of mixed H 2/H ∞ filtering for polytopic Delta operator systems is investigated. The aim is to design a linear asymptotically stable filter which guarantees that the filtering error system has different performances in different filtering channels. Based on a parameter-dependent Lyapunov function, a new mixed H 2/H ∞ performance criterion is presented. Upon this performance criterion, a sufficient condition for the full-order mixed H 2/H ∞ filter is derived in terms of linear matrix inequalities. The filter can be obtained from the solution of a convex optimization problem. The proposed filter design procedure is less conservative than the strategy based on the quadratic stability notion. A numerical example is given to illustrate the feasibility of the proposed approach.
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Rui, Z., Yu, Y., KeMao, M. et al. Mixed H 2/H ∞ filtering for a class of high-speed sampling uncertain systems. Sci. China Ser. F-Inf. Sci. 51, 560–570 (2008). https://doi.org/10.1007/s11432-008-0045-x
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DOI: https://doi.org/10.1007/s11432-008-0045-x