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- W2063159311 abstract "This paper investigates the problem of parameter-dependent robust H∞ model reduction for a class of discrete-time switched linear systems with polytopic parameter uncertainties. The objective is to design a parameter-dependent homogeneous reduced-order switched system to approximate a given switched polytopic linear system such that the resulting error system is asymptotically stable with a guaranteed H∞ performance γ for any switching rules. Based on a switched parameter-dependent quadratic Lyapunov function (SPDQLF) combined with Finsler's lemma, a novel sufficient condition in terms of a set of linear matrix inequalities (LMIs) for robust H∞ performance analysis is first proposed and in turn the reduced-order models are synthesized. It is shown that by using a new linearization technique incorporating a bounding technique, the matrices for the reduced-order models can be obtained by solving a set of linear matrix inequalities, which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approaches." @default.
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- W2063159311 date "2006-07-01" @default.
- W2063159311 modified "2023-10-18" @default.
- W2063159311 title "Parameter-Dependent Robust H<inf>¿</inf> Model Reduction for Discrete-Time Switched Polytopic Linear Systems" @default.
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- W2063159311 doi "https://doi.org/10.1109/chicc.2006.4347313" @default.
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