Reliable H^sub [infinity]^ filter design for sampled-data systems with consideration of probabilistic sensor signal distortion

• Published in: IET signal processing Vol. 7; no. 5; p. 420
• Main Authors: Gu, Zhou, Tian, Engang, Liu, Jinliang
• Format: Journal Article
• Language: English
• Published: Stevenage John Wiley & Sons, Inc 01.07.2013
• Subjects: Design engineering; Dynamics; Filtering; Filtration; Probabilistic methods; Probability theory; Sensors; Signal distortion
• ISSN: 1751-9675; 1751-9683

This study is concerned with the reliable filtering problem for the sampled-data system subject to a class of probabilistic sensor signals distortion. A new distortion model is developed by introducing a diagonal random matrix whose elements obey the Gaussian distribution. The main purpose in this study is to design a filter such that the error dynamics of the filtering process subject to the probabilistic sensor signal distortion is mean-square asymptotically stable. Based on the modified delay-central-point (DCP) method and the convexity property of the matrix inequality, new criteria are derived for the existence of the desired H^sub ∞^ filters, by which it leads to much less conservative analysis results. Simulation results are provided to illustrate the effectiveness of the proposed method. [PUBLICATION ABSTRACT]