作者
Chakir El-Kasri, Abdelaziz Hmamed, Teresa Alvarez, Fernando Tadeo
发表日期
2011/9/5
研讨会论文
The 2011 International Workshop on Multidimensional (nD) Systems
页码范围
1-6
出版商
IEEE
简介
The problem of robust H ∞ filtering for uncertain two-dimensional (2-D) continuous systems described by the Roesser state-space model is investigated when the parameter uncertainties are polytopic. A sufficient linear matrix inequality (LMI) condition for the existence of a 2-D continuous filter such that, for all admissible uncertainties, the error system is asymptotically stable, and the H ∞ norm of the transfer function from the noise signal to the estimation error is below a prespecified level. A sequence of standard LMI conditions that ensure the existence of homogeneous polynomially parameter-dependent (HPPD) matrices of arbitrary degree, that are solutions to the parameter-dependent LMIs is provided in terms of the vertices of the polytope. The proposed method includes results in the quadratic framework and the linearly parameter-dependent framework as special cases. Finally, an example is provided to …
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C El-Kasri, A Hmamed, T Alvarez, F Tadeo - The 2011 International Workshop on Multidimensional …, 2011