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Reliability evaluation of combined k-out-of-n:F, consecutive-k-out-of-n:F, and linear connected-(r, s)-out-of-(m, n):F system structures

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IEEE TRANSACTIONS ON RELIABILITY 2000年第1期49卷 99-104页

作者： Zuo, MJ Lin, DM Wu, YH Univ Alberta Dept Mech Engn Edmonton AB T6G 2G8 Canada Shantou Univ Dept Math Guangdong 515063 Peoples R China Univ Toledo Dept Math Toledo OH 43606 USA

Based on a real industrial application, 3 new system reliability models are proposed: combined k-out-of-n :F and consecutive-k(c)-out-of-n :F system? combined k-out-of-m . n:F and linear connected-(r, s)-out-of-(m, n): F system, combined k-out-of-m . n: F, consecutive-k(c)-out-of-n : F and linear connected-(r, s)-out-of-(m, n):F system. Reliability evaluation algorithms are provided for these models. The computation times of the algorithms for these models are, respectively: . O(n. k), . O(k . n . (2(m) . s(m-r+1)) . O(k . n . (2k(c))(m) . s(m-r+1)), The algorithms are used for system reliability evaluation of furnace systems. The concept of the combined k-out-of-n : F and 1-dimensional and 3-dimensional consecutive-k-out-of-n : F systems can be extended to other variations of the consecutive-k-out-of-n systems, e.g., the consecutive-k-out-of-n : G system and 1-dimensional and 2-dimensional r-within-k-out-of-n : F systems, The concept of Markov Chain Imbeddable (MIS) systems is another excellent tool that can be used for analysis of such combined system structures.

关键词： combined k-out-of-n : F system consecutive-k-out-of-n : F system linear connected-(r, s)-out-of-(m, n): F system recursive algorithm system reliability

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Broadband time-domain impedance models

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AIAA JOURNAL 2001年第8期39卷 1449-1454页

作者： Fung, KY Ju, HB Hong Kong Polytech Univ Dept Engn Mech Kowloon Hong Kong Peoples R China

The modeling of a set of impedance values given either experimentally or heuristically for implementation as a time-domain impedance-equivalent boundary condition (TDIBC) is discussed. It is shown that impedance as defined by the reflection of plane harmonic waves when extended for broadband time-domain applications can correspond to mathematically feasible but physically unacceptable noncausal reflection processes. Given a set of impedance data on a finite, positive, and real frequency range, it is possible to construct causal time-domain models that render efficient implementation of TDIBC for broadband reflections. However, these models defined by measurement of harmonic waves may not be valid For the reflection of impulses, for which measurement of transient reflections is warranted.

关键词： Frequency Domain Harmonic Excitation Boundary Value Problems recursive algorithm Applied Mathematics Transient Response

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Smooth curve interpolation with generalized conics

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 1996年第7期31卷 37-64页

作者： Qu, R Department of Mathematics National University of Singapore Singapore 119260 Singapore

Efficient algorithms for shape preserving approximation to curves and surfaces are very important in shape design and modelling in CAD/CAM systems. In this paper, a local algorithm using piecewise generalized conic segments is proposed for shape preserving curve interpolation. It is proved that there exists a smooth piecewise generalized conic curve which not only interpolates the data points, but also preserves the convexity of the data. Furthermore, if the data is strictly convex, then the interpolant could be a locally adjustable GC(2) curve provided the curvatures at the data points are well determined. It is also shown that the best approximation order is O(h(6)). An efficient algorithm for the simultaneous computation of points on the curve is derived so that the curve can be easily computed and displayed. The numerical complexity of the algorithm for computing N points on the curve is about 2N multiplications and N additions. Finally, some numerical examples with graphs are provided and comparisons with both quadratic and cubic spline interpolants are also given.

关键词： generalized conics splines parametric curve recursive algorithm subdivision interpolation difference algorithm

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An optimized algorithm for computing Wilcoxon's T-n(+) statistic when n is small

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COMPUTATIONAL STATISTICS 1996年第1期11卷 1-10页

作者： Castagliola, P Ecole des Mines de Nantes La Chantrerie 44070 Nantes Cedex 03 4 rue Alfred Kastler France

The Wilcoxon signed rank test is a well known statistical test based on Wilcoxon's T-n(+) statistic. When n is large enough, the lower tail probability P-0 (T-n(+) less than or equal to x) of T-n(+) under H-0 : theta = 0 may be computed easily by a normal approximation. We propose in this paper a recursive, real-time algorithm which computes this probability when n is small.

关键词： Wilcoxon's T-n(+) statistic lower tail probability recursive algorithm

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APPLICATION OF A PERIODIC LATTICE FILTER FOR IDENTIFYING FLEXIBLE STRUCTURES

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1993年第6期16卷 1109-1117页

作者： LEE, YJ SPEYER, JL UNIV TEXAS DEPT AEROSP ENGN & ENGN MECHAUSTINTX 78712

Lattice filters have properties that are well suited for application to parameter identification of flexible structures. The problem of both order and parameter estimation is addressed where the numerical difficulties of an embedded lattice filter are avoided by applying a periodic lattice filter. This formulation is quite natural to estimate system order by applying Akaike's Information Criterion to each channel of the periodic lattice filter. Several examples including nonstationary cases are simulated to demonstrate these facts.

关键词： Flexible Structures White Noise Stiffness Matrices Distributed Parameter System Adaptive Control Systems Aerodynamic Damping recursive algorithm Gaussian Process Structural Modeling Space Structures

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Dynamic modeling of nonholonomic wheeled mobile manipulators with elastic joints using recursive Gibbs-Appell formulation

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SCIENTIA IRANICA 2012年第4期19卷 1092-1104页

作者： Korayem, M. H. Shafei, A. M. Shafei, H. R. Iran Univ Sci & Technol Dept Mech Engn Ctr Excellence Expt Solid Mech & Dynam Tehran Iran

This paper focuses on the study of dynamic modeling of nonholonomic wheeled mobile robotic manipulators, which consist of a serial manipulator with elastic joints and an autonomous wheeled mobile platform. To avoid computing the Lagrange multipliers associated with the nonholonomic constraints, the approach of Gibbs-Appell (G-A) formulation in recursive form is adopted. For modeling the system completely and precisely, dynamic interactions between the manipulator and the mobile platform, as well as both nonholonomic constraints associated with the no-slipping and the no-skidding conditions, are included. Based on developed formulation, an algorithm is proposed that recursively and systematically derives the equation of motion. In this algorithm, in order to improve the computational complexity, all mathematical operations are done by only 3 x 3 and 3 x 1 matrices. Also, all dynamic expressions of a link are expressed in the same link local coordinate system. Finally, two computational simulations for mobile manipulators with rigid and elastic joints are presented to indicate the capability of this algorithm in generating the equation of motion of mobile robotic manipulators with high degree of freedom. (C) 2012 Sharif University of Technology. Production and hosting by Elsevier B.V. All rights reserved.

关键词： Mobile manipulator Nonholonomic constraint recursive algorithm Gibbs-Appell methodology Computational complexity

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Performance evaluation of generalized multi-state k-out-of-n systems

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IEEE TRANSACTIONS ON RELIABILITY 2006年第2期55卷 319-327页

作者： Zuo, MJ Tian, ZG Univ Alberta Dept Mech Engn Edmonton AB TCG 2G8 Canada

The generalized multi-state k-out-of-n:G system model defined by Huang et al. [5] provides more flexibilities for modeling of multi-state systems. However, the performance evaluation algorithm they proposed for such systems is not efficient, and it is applicable only when the k(i) values follow a monotonic pattern. In this paper, we defined the concept of generalized multi-state k-out-of-n:F systems. There is an equivalent generalized multi-state k-out-of-n:G system with respect to each generalized multi-state k-out-of-n:F system, and vice versa. The form of minimal cut vector for generalized multi-state k-out-of-n:F systems is presented. An efficient recursive algorithm based on minimal cut vectors is developed to evaluate the state distributions of a generalized multi-state k-out-of-n:F system. Thus, a generalized multi-state k-out-of-n:G system can first be transformed to the equivalent generalized multi-state k-out-of-n:F system, and then be evaluated using the proposed recursive algorithm. Numerical examples are given to illustrate the effectiveness and efficiencies of the proposed recursive algorithms.

关键词： generalized multi-state k-out-of-n system minimal cut vector recursive algorithm

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Wiener chaos and nonlinear filtering

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APPLIED MATHEMATICS AND OPTIMIZATION 2006年第3期54卷 265-291页

作者： Lototsky, S. V. Univ So Calif Dept Math Los Angeles CA 90089 USA

The paper discusses two algorithms for solving the Zakai equation in the time-homogeneous diffusion filtering model with possible correlation between the state process and the observation noise. Both algorithms rely on the Cameron-Martin version of the Wiener chaos expansion, so that the approximate filter is a finite linear combination of the chaos elements generated by the observation process. The coefficients in the expansion depend only on the deterministic dynamics of the state and observation processes. For real-time applications, computing the coefficients in advance improves the performance of the algorithms in comparison with most other existing methods of nonlinear filtering. The paper summarizes the main existing results about these Wiener chaos algorithms and resolves some open questions concerning the convergence of the algorithms in the noise-correlated setting. The presentation includes the necessary background on the Wiener chaos and optimal nonlinear filtering.

关键词： correlated noise error estimation recursive algorithm Zakai equation

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A Framework for Reliability Approximation of Multi-State Weighted k-out-of-n Systems

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IEEE TRANSACTIONS ON RELIABILITY 2010年第2期59卷 297-308页

作者： Ding, Yi Zuo, Ming J. Lisnianski, Anatoly Li, Wei Nanyang Technol Univ Sch EEE Singapore 639798 Singapore Univ Alberta Dept Mech Engn Edmonton AB T6G 2G8 Canada Israel Elect Corp Ltd IL-31000 Haifa Israel Citigrp Ctr London E14 5LB England

The multi-state k-out-of-n system model finds wide applications in industry, and has been extensively studied in recent years. This model has also been generalized to the multi-state weighted k-out-of-n system model. recursive methods, and universal generating functions (UGF) are two primary algorithms for exact performance evaluation of multi-state k-out-of-n systems. However the computational burden becomes the crucial factor when there is a "dimension damnation" problem caused by the increase in the number of components in the system, and the number of possible states a component may be in. In situations wherein exact values of system reliability are not necessary, we may use more efficient algorithms to approximate system reliability. In this paper, we develop a comprehensive framework for reliability approximation of multi-state weighted k-out-of-n systems. Two fuzzy based multi-state weighted k-out-of-n system models are defined. Procedures for building these two models from the conventional models are also introduced. The fuzzy recursive methods, and fuzzy UGF techniques are developed to evaluate such systems. The clustering technique, and curve fitting method are used to determine the fuzzy weights, and probabilities of states in the models.

关键词： Fuzzy set k-out-of-n system multi-state system recursive algorithm reliability approximation universal generating function weighted k-out-of-n system

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Free knot recursive B-spline for compensation of nonlinear smart sensors

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MEASUREMENT 2011年第5期44卷 888-894页

作者： Wang, Xin Wei, Guo Sun, Jinwei Harbin Inst Technol Dept Automat Testing & Control Harbin 150001 Peoples R China

Compensation of nonlinear smart sensors is an important topic that must always be considered to assure the accuracy of measurement systems. Nowadays, with the advent of microprocessor devices in smart sensors, advanced compensation algorithms can be implemented to improve the accuracy of measurement. In this paper, an inverse modeling methodology based on B-spline is proposed for the compensation of nonlinear smart sensors. To avoid complicated least squares solution of the B-spline, a training algorithm in a recursive form is proposed to reduce the training cost and make the on-chip training of B-spline available. Moreover, the choices of B-spline knots and training points are important designed parameters in this methodology. So the free knot insertion algorithm and training points' selection method are used prior to the training process to improve the accuracy of the inverse models and avoid the under and over fitting. Simulations and results are presented to validate the theoretical expectations. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Compensation Smart sensor B-spline recursive algorithm Free knot insertion algorithm Training points selection

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