Robust full- and reduced-order energy-to-peak filtering for discrete-time uncertain linear systems

Feng, Jian; Han, Kezhen

doi:10.1016/j.sigpro.2014.09.012

Cited by 48 publications

(19 citation statements)

References 25 publications

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“…To my knowledge, some new methods to deal with time delays have been developed [2,4,11,12]. How to use the new developments into the fault detection and faulttolerant control is a challenge for the time-delayed system with faults and disturbances.…”

Section: Resultsmentioning

confidence: 99%

“…The motivations of this study are given as follows: (1) the improved H ∞ performance index [10] can be used to describe the influence of the disturbance and the time delay on the system. (2) with the widespread application of NCSs, static quantizers can exhibit limit cycles and chaotic behaviors. It is a challenge to design a reliable adaptive controller by using static quantizer for the linear time-varying delayed system.…”

Section: Introductionmentioning

confidence: 99%

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Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

2015

Circuits Syst Signal Process

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Based on an improved H ∞ performance index, the method of designing a reliable adaptive H ∞ controller with quantized state is addressed for the time-varying delayed system in this paper. On the basis of online estimates of actuator faults, the controller parameters are updated automatically to compensate the influence of actuator faults on the system while the desired improved H ∞ performance is preserved. A Lyapunov function candidate is constructed to prove that the closed-loop system is asymptotically stable. And the existing sufficient conditions of the controller are proved to be less conservative. The gains of the controller and the parameters of the adaptive law are co-designed and obtained in terms of solutions to a set of linear matrix inequalities. Finally, two numerical examples are given to illustrate that the proposed method is more effective than the previous methods for time-varying delayed systems.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

2015

Circuits Syst Signal Process

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“…To my knowledge, some new methods to deal with time delay have been developed [30][31][32][33][34][35]. How to use the new developments into the fault detection and fault-tolerant control is a challenge for the time-delayed system with faults and disturbances.…”

Section: Discussionmentioning

confidence: 99%

The design of reliable adaptive controllers for time-varying delayed systems based on improved H∞ performance indexes

Li¹

2015

Journal of the Franklin Institute

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“…Suppose the matrix represents the columns of belonging to class is the number of classes, and (2) where is the mean vector of class , and (3) where is the number of training samples of class and satisfies . Using and , the optimal mapping can be defined as (4) where is the generalized eigenvectors of and corresponding to the set of the largest generalized eigenvalues (5) III. JFDA AND KJFDA…”

Section: Outline Of Fdamentioning

confidence: 99%

“…Among the MSPM, the PCA is the most popular one [5]. PCA has the capability to project the high-dimensional data onto a low-dimensional space.…”

Section: Introductionmentioning

confidence: 99%

Fault Diagnosis Method of Joint Fisher Discriminant Analysis Based on the Local and Global Manifold Learning and Its Kernel Version

Feng

Wang

Zhang

et al. 2016

IEEE Trans. Automat. Sci. Eng.

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Though Fisher discriminant analysis (FDA) is an outstanding method of fault diagnosis, it is usually difficult to extract the discriminant information in a complex industrial environment. One of the reasons is that, in such an environment, the discriminant information can not been extracted entirely due to the disturbances, non-Gaussianity and nonlinearity. In this paper, a method named Joint Fisher discriminant analysis (JFDA) is proposed to address the issues. First, JFDA removes outliers caused by disturbances according to the energy density of each datum. Then, for the non-Gaussianity and weakly nonlinearity, the novel scatter matrices are defined to extract both of the local and global discriminant information based on the manifold learning. Finally, the kernel JFDA (KJFDA) is investigated to hold the manifold assumption because the strongly nonlinearity may weaken the assumption and cause overlapping. The proposed method is applied to the Tennessee Eastman process (TEP). The results demonstrate that KJFDA shows a better performance of fault diagnosis than other improved versions of FDA.Note to Practitioners-The purpose of fault diagnosis is to identify the fundamental reasons which make the production line out of the normal operation. Modern industry process is so complex that it is difficult to establish a model by a mechanism analysis for fault diagnosis. The monitoring data of various operations are easy to gain in modern factories. We can get the diagnosis by comparing with the similarity of various operation data instead of the mechanism model. The work of this paper is motivated by the following reasons: the original data of various operations are nearly the same when it is researched from a global view in a complex industrial environment. However, if they are researched from a local view or in a high-dimensional space, they can be identified better than from a global view. In this paper, a novel method is proposed to research the operation data from both the local and global view in a high-dimensional space. In other words, the operation data are researched in the whole set (from a global view) and local neighborhood (from a local view) simultaneously. If the operation data are still not identified well, they should be researched in a high-dimensional space.The principle seems that though the building is not identified in the ground plan (2D), it can be identified well in a 3D map. We characterize the data mathematically and propose the corresponding method of fault diagnosis. The method is applied to the Tennessee Eastman process (TEP) which is a famous simulation demo of the chemical process, but it is not limited to the chemical industry and can be applied to other fields such as the power industry, the steel industry, etc. The experiments have suggested that the proposed method has a better performance. However, in practice, how to balance the complexity of the method and the superiority of the performance is an open issue in future research.Index Terms-Data-driven modeling, fault diagnosis, feat...

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Robust full- and reduced-order energy-to-peak filtering for discrete-time uncertain linear systems

Cited by 48 publications

References 25 publications

Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

The design of reliable adaptive controllers for time-varying delayed systems based on improved H∞ performance indexes

Fault Diagnosis Method of Joint Fisher Discriminant Analysis Based on the Local and Global Manifold Learning and Its Kernel Version

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