DocumentCode :
3138144
Title :
Central energy-to-peak filter design for uncertain linear systems
Author :
Basin, Michael ; Serna, Manuel ; Lopez-Hernandez, Pedro Ivan
Author_Institution :
Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de los Garza, Mexico
fYear :
2013
fDate :
23-26 June 2013
Firstpage :
1
Lastpage :
6
Abstract :
This paper presents the central finite-dimensional energy-to-peak filter for linear systems that is optimal with respect to a modified Bolza-Meyer quadratic criterion including the first degree state-dependent term and the attenuation control term with the opposite sign. The obtained solution is based on reducing the original energy-to-peak filtering problem to the corresponding mean-module filtering problem, using the technique proposed in [1]. The paper first presents the central energy-to-peak filter for linear systems, based on the optimal mean-module filter from [2], assuming the standard filtering conditions of stabilizability, detectability, and noise orthonormality. Finally, to relax the standard conditions, the paper presents the generalized version of the designed energy-to-peak filter in the absence of the noise orthonormality. Numerical simulations are conducted to verify performance of the designed energy-to-peak filter for linear systems against the central suboptimal H filter [3]. The simulation results show a definite advantage in the values of the noise-output energy-to-peak norm in favor of the designed filter.
Keywords :
H filters; filtering theory; linear systems; multidimensional systems; optimal control; performance index; stability; uncertain systems; attenuation control term; central energy-to-peak filter design; central finite-dimensional energy-to-peak filter; central suboptimal H filter; detectability; energy-to-peak filtering problem; first degree state-dependent term; mean-module filtering problem; modified Bolza-Meyer quadratic criterion; noise orthonormality; noise-output energy-to-peak norm; numerical simulation; optimal mean-module filter; optimal system; performance verification; stabilizability; standard filtering conditions; uncertain linear system; Attenuation; Equations; Linear systems; Mathematical model; Noise; Robustness;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
Type :
conf
DOI :
10.1109/ASCC.2013.6606296
Filename :
6606296
Link To Document :
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