Abstract
This chapter addresses the robust H-infinity filtering problems of uncertain two-dimensional (2-D) systems with polytopic uncertainty in the system matrices. Two basic state space models for discrete-time 2-D systems, namely, Fornasini-Marchesini model and Roesser model, are considered, respectively. Based on the existing 2-D bounded real lemmas, new linear matrix inequality (LMI) conditions with extra slack matrices are obtained first for analyzing the H-infinity performance of 2-D systems. Then by performing some change of variables and using the polynomially parameter-dependent idea, new parameter-dependent approaches in terms of LMIs are established for robust H-infinity filter design for uncertain 2-D systems. Moreover, two numerical examples are presented to verify the effectiveness of the robust filter design methods for uncertain 2-D systems.
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Gao, H., Li, X. (2014). Robust Filtering for Uncertain 2-D Systems. In: Robust Filtering for Uncertain Systems. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-05903-7_6
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DOI: https://doi.org/10.1007/978-3-319-05903-7_6
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