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《Journal of Shanghai Jiaotong University》 2005-S1
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A Class of Linear Continuous Time-Varying H_∞ Deconvolution Filter

YANG Xiao-jun, WENG Zheng-xin, TIAN Zuo-hua(Dept. of Automation, Shanghai Jiaotong Univ., Shanghai 200030, China)  
Unknown input estimation problems were investigated in the framework of deconvolution. A class of linear continuous time-varying H_∞ deconvolution filter was proposed. The deconvolution filter is made up of an output observer and a linear mapping, where the latter reflects the internal connection between the unknown input signals and the output estimate error. Based on the bounded real lemma, a time domain design approach and a sufficient condition for the existence of deconvolution filter were presented. The parameterization of the deconvolution filter could be completed by solving a Riccati equation. The steady-state solution of the H_∞ deconvolution was also given. At last, the effectiveness of the proposed approach was illustrated through a numerical example.
【Fund】: 国家自然科学基金资助项目(60274058)
【CateGory Index】: TN713
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