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In this paper, the problem of insensitive H∞ filter design for linear discrete-time systems is considered. A sensitivity of the transfer function with respect to filter parameters is defined. A new condition on insensitive H∞ filter is obtained by using linear matrix inequality (LMI) technique and solved by an LMI optimization algorithm. It should be emphasized that the main advantage of the proposed...
This paper is concerned with the delay-dependent filtering problem for linear discrete-time multi-delay systems with small gain conditions in finite frequency ranges. A new multiplier method is developed to convert the resulting non-convex filtering synthesis conditions to the ones based on linear matrix inequalities (LMIs). Thus, sufficient conditions for the existence of feasible filters are given...
This paper is concerned with the quantized H∞ filtering problem for discrete-time systems subject to limited communication capacity, which includes measurement quantization and random sensor packet losses. By introducing an improved quantized random packet-loss model, the effects of the packet-loss rate and the upper bound of consecutive packet losses and the quantization on the system performance...
This paper is concerned with the reliable nonlinear Hinfin filtering problem against sensor failures for a class of continuous-time systems with sector-bounded nonlinearities. The resulting design is such that the filtering error system is asymptotically stable and meets the prescribed Hinfin norm constraint in normal case as well as in sensor failure case. What's worth mentioning is that the paper...
This paper is concerned with the problem of robust H2 filtering for continuous-time switched linear systems subject to polytopic uncertainties. Based on multiple parameter dependent Lyapunov functions combined with average dwell time approach, a switched full-order filter is designed such that the filtering error system under switching signal with average dwell time is exponentially stable and achieves...
This paper is concerned with the problem of Hinfin filter design for a class of linear uncertain systems with time-varying delay. The uncertainty parameters are supposed to be time-varying, unknown, but bounded, which appear affinely in the matrices of system model. Our proposed robust Hinfin filter is a switching-type filter, in which the filter parameters are tuned in a switching manner via a switching...
This paper investigates the problem of Hinfin filtering for discrete-time switched linear systems under arbitrary switching laws. New LMI-based conditions for the solvability of the problem are given via switched quadratic Lyapunov functions. By Finsler's lemma, two sets of slack variables with special structure are introduced to provide extra degrees of freedom in optimizing the guaranteed Hinfin...
This paper is concerned with the quantized Hinfin filtering problem for discrete-time systems. The quantizer considered here is dynamic and composed of a dynamic scaling and a static quantizer. Motivated by practical transmission channels requirements, the static quantizer ranges are fully considered in this paper. A quantized Hinfin filter design strategy is proposed with taking quantizer errors...
The problem of non-fragile Hinfin filtering for a class of linear systems described by delta operator with circular region pole constraints is investigated. The purpose of the paper is to design a filter such that the error filtering system not only satisfies the prescribed circular pole constraints or D-stability constraint, but also meets the prescribed Hinfin norm constraint on the transfer function...
The paper deals with the reliable Hinfin filtering problem for linear uncertain continuous-time systems with bounded disturbances. Different from the existing approaches, the filter is designed in certain finite frequency ranges, which is important in practice, since the full frequency approaches are conservative to some extent for the case when the frequency ranges of disturbances are known beforehand...
This paper studies the quantized H∞ filtering problem for continuous-time systems with a type of dynamic quantizers, which are conjuncted with static quantizers via dynamic scalings. The static quantizer ranges are fully considered here for practical transmission channels requirements. A quantized H∞ filter design strategy is proposed, where a convex optimization method is developed to minimize static...
In recent years, many studies have shown that microarray gene expression data is useful for disease identification and cancer classification. However, since gene expression data may contain thousands of genes simultaneously, successful microarray classification can be rather difficult. Feature (gene) selection is a frequently used pre-processing technology for successful classification of microarray...
This paper presents new non-fragile Hinfin filter design methods for linear discrete-time systems. The filter to be designed is assumed to be with additive gain variations, which reflect the FWL effects in filter digital implementations. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile Hinfin filter design...
This paper studies the problem of designing robust Hinfin filters for linear uncertain systems. The uncertainty parameters are assumed to be time-varying, unknown, but bounded, which appear affinely in the matrices of system models. An adaptive mechanism is introduced to construct novel filters with variable gains, which can reduce the conservativeness of traditional robust Hinfin filters. The proposed...
This paper studies the problem of finite frequency Hinfin filter design for linear time-invariant discrete-time systems with polytopic uncertainties. Generalized Kalman-Yakubovich-Popov (GKYP) lemma is exploited to formulate the filter design problem in finite frequency domain. A design method is presented in terms of solutions to a set of linear matrix inequalities (LMIs). A numerical example is...
This paper addresses the reduced-order filtering problem for discrete-time T-S fuzzy systems. Based on multiple Lyapunov function approach, a sufficient condition is given in terms of the solvability of bilinear matrix inequalities. An iterative algorithm based on the linear matrix inequalities is developed to compute the corresponding filter gains. A numerical example is given to illustrate the validity...
This paper studies the problem of non-fragile H∞ filter design for linear continuous-time systems. The filter to be designed is assumed to be with additive gain variations, which are due to the finite word length (FWL) effects when the filter is implemented. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile...
This paper explores the realization and computational complexity of the regression filter for ground clutter suppression. Ground clutter suppression performance of regression filter is compared with an existing ground clutter filter now used in CINRAD WSR-98D. Through simulations, it is demonstrated that the regression filter is a good choice for ground clutter suppression in CINRAD WSR-98D
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