Robust L_¡Þ-induced deconvolution filtering for linear stochastic systems and its application to fault reconstruction

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• 作者：Mehrdad Tabarraie ; ^{mehrdad.tabarraie@gmail.com}
• 关键词：L&infin ; -induced deconvolution filtering ; Linear stochastic system ; Polytopic uncertainty ; Parameter-dependent stability ; Fault reconstruction
• 刊名：Signal Processing
• 出版年：2013
• 出版时间：May, 2013
• 年：2013
• 卷：93
• 期：5
• 页码：1379-1391
• 全文大小：364 K

文摘

The problem of stationary robust L_¡Þ-induced deconvolution filtering for the uncertain continuous-time linear stochastic systems is addressed. The state space model of the system contains state- and input-dependent noise and deterministic parameter uncertainties residing in a given polytope. In the presence of input-dependent noise, we extend the derived Lemma in [22] characterizing the induced L_¡Þ norm by linear matrix inequalities (LMIs), according to which we solve the deconvolution problem in the quadratic framework. By decoupling product terms between the Lyapunov matrix and system matrices, an improved version of the proposed L_¡Þ-induced norm bound Lemma for continuous-time stochastic systems is obtained, which allows us to realize exploit parameter-dependent stability idea in the deconvolution filter design. The theories presented are utilized for sensor fault reconstruction in uncertain linear stochastic systems. The effectiveness and advantages of the proposed design methods are shown via two numerical examples.