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A class of augmented complex-value FLANN adaptive algorithms for nonlinear systems

NEUROCOMPUTING 2023年 520卷 331-341页

作者： Luo, Zheng-Yan Zhou, Ji-Liu Pu, Yi-Fei Li, Lei Sichuan Univ Coll Comp Sci Chengdu 610056 Peoples R China

Recently, few studies have been made on the stereophonic acoustic echo cancellation (SAEC) with nonlinear systems. To identify such nonlinear model, the functional link artificial neural network (FLANN) and the widely linear model can provide an approach to explore the SAEC with complex random variable. In this paper, a class of augmented complex-value functional link network (ACFLN) adaptive algorithms is developed. Based on the augmented complex-value functional least-mean-square (ACFLMS) algorithm, we have proposed the recursive augmented complex-value functional least-mean-square (RACFLMS) algorithm designed by a recursive structure. To further reduce its computational complexity and enhance its performance, a novel inverse square root function is employed in its structure of the RACFLMS algorithm. The results of several experiments demonstrate that our approach can effectively model the nonlinear systems and verify the improvement of the proposed algorithms. (c) 2022 Elsevier B.V. All rights reserved.

关键词： Functional link artificial neural network (FLANN) Acoustic echo cancellation (SAEC) recursive algorithm Widely linear model Inverse square root

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Determination of Effective Constitutive Parameters of Inhomogeneous Metamaterials With Bianisotropy

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IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES 2018年第8期66卷 3734-3744页

作者： Hasar, Ugur Cem Buldu, Gul Kaya, Yunus Ozturk, Gokhan Gaziantep Univ Dept Elect & Elect Engn TR-27310 Gaziantep Turkey Munzur Univ Dept Elect & Elect Engn TR-62000 Tunceli Turkey Bayburt Univ Dept Elect & Energy TR-69000 Bayburt Turkey Ataturk Univ Dept Elect & Elect Engn TR-25240 Erzurum Turkey

A recursive algorithm is proposed to accurately extract the electromagnetic parameters of isotropic/bianisotropic metamaterial (MM) slabs of inhomogeneous structures. The algorithm is based on the recursive calculations of measured/simulated forward and backward scattering (S-) parameters from previously extracted wave impedances and refractive indices of each homogeneous layer (except the analyzed intermediate layer) by a suitable retrieval method. There are two main advantages of our proposed method over existing extraction algorithms. First, it could retrieve the electromagnetic parameters of both isotropic and bianisotropic MM slabs. Second, it is applicable for electromagnetic parameter extraction of inhomogeneous structures. For validation of our method and assessing its accuracy over existing extraction methods, we used the simulation results of various inhomogeneous structures constructed by different isotropic/bianisotropic MM slabs (split-ring-resonator (SRR), SRR-wire, omega, and omega-wire). For completeness, the effects of noise present in S-parameters and iterative error (by increasing the value of iteration numbers) are examined to test the robustness of the proposed algorithm.

关键词： Bianisotropic constitutive parameters inhomogeneous metamaterials (MMs) recursive algorithm retrieval

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Robust set-membership filtering for systems with missing measurement: a linear matrix inequality approach

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IET SIGNAL PROCESSING 2012年第4期6卷 341-347页

作者： Yang, F. Li, Y. E China Univ Sci & Technol Sch Informat Sci & Engn Shanghai 200237 Peoples R China Cent Queensland Univ Ctr Intelligent & Networked Syst Rockhampton Qld 4702 Australia Brunel Univ Dept Informat Syst & Comp Uxbridge UB8 3PH Middx England

This study addresses the robust set-membership finite-horizon filtering problem for a class of discrete time-varying systems with missing measurement and polytopic uncertainties in the presence of unknown-but-bounded process and measurement noises. A robust set-membership filter is developed and a recursive algorithm is derived for computing the state estimate ellipsoid that is guaranteed to contain the true state. An optimal possible estimate set is computed recursively by solving the semi-definite programming problem. Simulation results are provided to demonstrate the effectiveness of the proposed method.

关键词： measurement noises linear matrix inequality approach recursive estimation Optimisation techniques state estimation missing measurement robust set-membership filtering Algebra uncertain systems state estimate ellipsoid mathematical programming optimal possible estimate set Filtering methods in signal processing linear matrix inequalities discrete time-varying systems semidefinite programming problem polytopic uncertainty robust set-membership finite-horizon filtering problem Signal processing theory discrete time systems time-varying systems recursive algorithm filtering theory unknown-but-bounded process Other topics in statistics

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Fractional Order Differentiation by Integration and Error Analysis in Noisy Environment

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2015年第11期60卷 2945-2960页

作者： Liu, Da-Yan Gibaru, Olivier Perruquetti, Wilfrid Laleg-Kirati, Taous-Meriem Univ Orleans INSA Ctr Val de Loire F-18022 Bourges France KAUST Comp Elect & Math Sci & Engn CEMSE Div Thuwal 239556900 Saudi Arabia Arts & Metiers ParisTech LSIS CNRS UMR 7296 F-59046 Lille France Parc Sci Haute Borne INRIA Lille Nord Europe Equipe Projet Non A F-59650 Villeneuve Dascq France Ecole Ctr Lille CRIStAL CNRS UMR 9189 F-59650 Villeneuve Dascq France

The integer order differentiation by integration method based on the Jacobi orthogonal polynomials for noisy signals was originally introduced by Mboup, Join and Fliess. We propose to extend this method from the integer order to the fractional order to estimate the fractional order derivatives of noisy signals. Firstly, two fractional order differentiators are deduced from the Jacobi orthogonal polynomial filter, using the Riemann-Liouville and the Caputo fractional order derivative definitions respectively. Exact and simple formulae for these differentiators are given by integral expressions. Hence, they can be used for both continuous-time and discrete-time models in on-line or off-line applications. Secondly, some error bounds are provided for the corresponding estimation errors. These bounds allow to study the design parameters' influence. The noise error contribution due to a large class of stochastic processes is studied in discrete case. The latter shows that the differentiator based on the Caputo fractional order derivative can cope with a class of noises, whose mean value and variance functions are polynomial time-varying. Thanks to the design parameters analysis, the proposed fractional order differentiators are significantly improved by admitting a time-delay. Thirdly, in order to reduce the calculation time for on-line applications, a recursive algorithm is proposed. Finally, the proposed differentiator based on the Riemann-Liouville fractional order derivative is used to estimate the state of a fractional order system and numerical simulations illustrate the accuracy and the robustness with respect to corrupting noises.

关键词： Digital fractional order differentiator error analysis Jacobi orthogonal polynomial filter recursive algorithm time-delay

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Analysis of Helicopter Handling Quality in Turbulence with recursive Von Karman Model

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JOURNAL OF AIRCRAFT 2017年第5期54卷 1631-1639页

作者： Ji, Honglei Chen, Renliang Li, Pan Nanjing Univ Aeronaut & Astronaut Natl Key Lab Sci & Technol Rotorcraft Aeromech Coll Aerosp Engn Nanjing 210016 Jiangsu Peoples R China

A recursive von Karman turbulence model is developed and integrated into the current distributed turbulence model for helicopter flight simulation and handling quality analysis in atmospheric turbulence. First, high-order filters are developed with rational expressions to approximate the von Karman spectra. recursive algorithms for modeling the von Karman turbulence are derived by discretizing the filters with the Tustin transform. Then, the recursive von Karman turbulence model is used to replace the Dryden model in the current distributed turbulence model for helicopter flight simulation in atmospheric turbulence. The results show that the spectra of the recursive von Karman turbulence have an excellent agreement with the theoretical von Karman spectra, and they are valid over a normalized frequency range up to 400 rad, which is suitable for helicopter handling quality analysis in atmospheric turbulence with low flight speed and large turbulence scale lengths. The present turbulence model significantly extends the capability of helicopter handling quality analysis to the higher-altitude and lower-velocity flight conditions compared with the current distributed turbulence model.

关键词： Handling Qualities Helicopters Atmospheric Turbulence Turbulence Models Flight Simulation recursive algorithm Power Spectral Density Gaussian White Noise Fuselages Pilot

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Reliability of nonrepairable phased-mission systems with common bus performance sharing

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY 2018年第6期232卷 647-660页

作者： Yu, Huan Yang, Jun Zhao, Yu Beihang Univ Sch Reliabil & Syst Engn Beijing 100191 Peoples R China

This article considers the reliability analysis of phased-mission systems with common bus performance sharing. The whole system consists of client nodes, service elements, and a common bus redistribution system and it undertakes a multi-phase mission. In each phase, the service elements must satisfy the demands of the prespecified client nodes set. The service elements can share their surplus performance with other client nodes through the common bus. In any phase, the system fails if the demands of the prespecified client nodes set are not satisfied. In other words, the entire system succeeds if the demands of the prespecified client nodes set are satisfied in all phases. The reliability of the proposed model is analyzed by the backward recursive algorithm. The optimal allocation problem is solved by the genetic algorithm. Two examples are presented to demonstrate the proposed reliability evaluation method and optimal allocation algorithm.

关键词： Reliability evaluation phased-mission systems common bus performance sharing recursive algorithm genetic algorithm

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Efficient algorithm for the reliability of a 2-dimensional cylindrical k-within-consecutive-(r, s)-out-of-(m, n):F system

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IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES 2004年第5期E87A卷 1251-1257页

作者： Yamamoto, H Akiba, T Tokyo Metropolitan Inst Technol Dept Prod Informat & Syst Engn Hino Tokyo 1910065 Japan Yamagata Coll Ind & Technol Dept Informat Management Engn Yamagata 9902473 Japan

A 2-dimensional cylindrical k-within-consecutive-(r, s)-out-of-(m, n):F system consists of in x n components arranged on a cylindrical grid. Each of in circles has n components, and this system fails if and only if there exists a grid of size r x s within which at least k components are failed. This system may be used into reliability models of "Feelers for measuring temperature on reaction chamber[2]," "TFT Liquid Crystal Display system with 360 degree wide area" [10] and others. In this paper, first, we propose an efficient algorithm for the reliability of a 2-dimensional cylindrical k-within-consecutive-(r, s)-out-of-(m, n):F system. The feature of this algorithm is calculating their system reliabilities with shorter computing time and smaller memory size than Akiba and Yamamoto [10]. Next, we show some numerical examples so that our proposed algorithm is more effective than Akiba and Yamamoto [10] for systems with large n.

关键词： 2-dimensional cylindrical k-within-consecutive-(r, s)-out-of-(m, n):F system recursive algorithm System reliability

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Design and analysis of a novel overload current estimation method for traditional miniature circuit breaker

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IET ELECTRIC POWER APPLICATIONS 2020年第10期14卷 1898-1905页

作者： Lv, Sen Zong, Ming Yu, Siyang Shenyang Univ Technol Sch Elect Engn Shenyang 110870 Peoples R China

The power grid is developing towards intelligence. Therefore, as important electrical equipment of the power grid, miniature circuit breaker (MCB) should need to meet the requirements of the smart grid for terminal apparatuses. However, because the bending process of bimetal widely used in MCB overload protection is dispersive, which is difficult to realise electronisation, it is urgent to study the intelligent algorithm of MCB to protect the power grid well. For this purpose, a current calculation method based on temperature rise caused by load current of traditional non-communicable MCB is proposed in this study. Compared with the present current calculation method, there is no iron core saturation problem even in the case of a huge load current. Also, in order to solve the problem of long time delay for stable temperature rise, a recursive algorithm that can rapidly calculate stable temperature rise is proposed. Furthermore, the current can be calculated rapidly. The influence of the initial temperature rise on the current calculation is also taken into account in the proposed algorithm. The simulation and experiment results show that the speed of stable temperature rise obtained by the recursive algorithm can meet the requirement of overload protection, and the error of calculating current is less than 5%.

关键词： smart power grids circuit breakers bending power system protection smart grid MCB overload protection intelligent algorithm power grid current calculation method noncommunicable MCB iron core saturation problem load current recursive algorithm miniature circuit breaker overload current estimation method electrical equipment terminal apparatuses bending process temperature rise

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recursive Estimation of Conditional Spatial Medians and Conditional Quantiles

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SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS 2014年第4期33卷 519-538页

作者： Belitser, Eduard Serra, Paulo Vrije Univ Amsterdam Dept Math Amsterdam Netherlands Univ Gottingen Inst Math Stochast D-37077 Gottingen Germany

We consider the problem of constructing an on-line (recursive) algorithm for tracking a conditional spatial median, a center of a multivariate distribution. In the one-dimensional case we also track conditional quantiles of arbitrary level. We establish a nonasymptotic upper bound for the L-p-risk of the algorithm, which is then minimized under different assumptions on the magnitude of the variation of the spatial median or quantile. We derive convergence rates for the examples we consider.

关键词： Conditional spatial median Convergence rate Half-space symmetric distributions recursive algorithm Sequential estimation 62L12 62G20 62L20

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APPLICATION OF SINGULAR PERTURBATION-METHODS FOR 3-DIMENSIONAL MINIMUM-TIME INTERCEPTION

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1991年第2期14卷 360-367页

作者： SHEU, DL VINH, NX HOWE, RM NATL CHENG KUNG UNIV DEPT AERONAUT & ASTRONAUT ENGNTAINANTAIWAN

In this paper, a feedback control law based on the singular perturbation method is developed for three-dimensional minimum-time interception. Whereas the heading and flight-path angles are considered fast variables with the same time scale, the relative position and the specific energy are considered slow variables. A zeroth-order optimal control algorithm is developed, and an extension to higher-order analysis is discussed. With the demonstrations of several numerical examples, it is shown that this time-scale separation is physically reasonable and results in a uniformly valid control law for long-, medium-, and short-range interception.

关键词： Singular Perturbation Flight Path Angle recursive algorithm Feedback Control Zero Lift Drag Coefficient Transversality Condition Lift Coefficient Numerical Integration Closed Loop Universal Gas Constant

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