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least square algorithm based on bias compensated principle for parameter estimation of canonical state space model

MEASUREMENT & CONTROL 2022年第5-6期55卷 330-339页

作者： Liu, Longlong Long, Zhen Azar, Ahmad Taher Zhu, Quanmin Ibraheem, Ibraheem Kasim Humaidi, Amjad J. Ocean Univ China Sch Math Sci Qingdao Peoples R China Prince Sultan Univ Coll Comp & Informat Sci Riyadh Saudi Arabia Benha Univ Fac Comp & Artificial Intelligence Banha Egypt Univ West England Dept Engn Design & Math Bristol Avon England Dijlah Univ Coll Dept Comp Tech Engn Baghdad Iraq Univ Technol Baghdad Control & Syst Engn Dept Al Sina St Baghdad 19006 Iraq

Due to the existence of system noise and unknown state variables, it is difficult to realize unbiased estimation with minimum variance for the parameter estimation of canonical state space model. This paper presents a new least squares estimator based on bias compensation principle to solve this problem, transforms canonical state space into the form suitable for the least square algorithm, introduces an augmented parameter vector and an auxiliary variable, derives parameter estimation formula based on noise compensation, realizes the unbiased estimation, and gives the specific algorithm. A simulation example is provided to verify the effectiveness of the estimator.

关键词： least square algorithm bias compensated principle parameter estimation canonical state space model

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Improved Eccentricity Self-Detection Method Based on least square algorithm for Polar Coordinate Encoder

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IEEE SENSORS JOURNAL 2021年第23期21卷 26902-26911页

作者： Zhao, Guobo Lei, Biao Ye, Guoyong Ban, Yaowen Li, Xuan Liu, Hui Liu, Hongzhong Xi An Jiao Tong Univ State Key Lab Mfg Syst Engn Xian 710049 Peoples R China Zhengzhou Univ Light Ind Henan Key Lab Intelligent Mfg Mech Equipment Zhengzhou 450002 Peoples R China

Eccentricity error is the main error source of rotary encoder. In our previous work, a novel polar coordinate encoder has been presented for eccentricity self-detection and error compensation. In this paper, an improved eccentricity self-detection method based on least square algorithm is presented. We first establish the radial displacement equation in terms of rotary angle and eccentricity. Then, overdetermined equations can be constructed by taking sampling points into radial displacement equation, from which the optimal solution of eccentricity can be determined using least squares algorithm. Thus, angle compensation can be performed by submitting the calculated eccentricity into eccentricity error model. The proposed method offers a new strategy for automatic eccentricity self-detection and angle compensation of rotary encoder. Both simulation analysis and experimental test are performed to prove the effectiveness of the proposed method.

关键词： Gratings Mathematical models Adaptive optics Optical variables measurement Displacement measurement Tools Optical imaging Eccentricity self-detection least square algorithm eccentricity error compensation polar coordinate encoder

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A flexible self-calibration method for large-stroke motion stage by using the multi-region stitching strategy based on least square algorithm

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APPLIED PHYSICS EXPRESS 2020年第5期13卷

作者： Huang Shengzhou Li Mujun Wang Lei Su Yongsheng Wang Fengtao Liang Yi Minist Educ Key Lab Adv Percept & Intelligent Control High En Wuhu 241000 Peoples R China Anhui Polytech Univ Sch Mech & Automot Engn Wuhu 241000 Peoples R China Univ Sci & Technol China Dept Precis Machinery & Precis Instrumentat Hefei 230026 Peoples R China

In this letter, a flexible self-calibration method for large-stroke motion stage (LSMS) was proposed, which adopted the multi-region stitching strategy based on least square algorithm. Through the segmentation of LSMS and the stitching correction of small regions, the compensation of positional accuracy of LSMS was carried out successfully, which breaks through the technical limitation that the current self-calibration method can only calibrate a limited area. This presented method can be expected to realize the calibration of LSMS of arbitrary size instead of high-cost laser interferometer measurement system.

关键词： large-stroke motion stage self-calibration multi-region stitching least square algorithm digital micromirror device digital grating mode

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Study On Near-Field Crosstalk Cancellation Based On least square algorithm

Study On Near-Field Crosstalk Cancellation Based On Least Sq...

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Asia-Pacific Signal and Information Processing Association Annual Summit and Conference

作者： Pengyun Guang Zhonghua Fu Lei Xie Wenjie Zhao Northwestern Polytechnical University Xi'an Shaanxi China Luoyang Electric Equipment Test Center

ISBN: (纸本)9781509024018

Crosstalk cancellation is an important issue in loudspeaker-based virtual auditory. Most of the correlated researches focus on far-field situation. This paper addresses near-field crosstalk cancellation problem, which has more challenges and seldom been addressed. Firstly loudspeaker can no longer be modeled as point source so that the head related transfer functions (HRTF) is very difficult to measure and the crosstalk problem is more complicated. Secondly any tiny user's head movement can not be neglected. In this paper, we use the boundary element calculation method with a scanned dummy-head (BHead210) model to obtain near-field HRTF data. Then by simulating loudspeaker as a combination of multiple synchronized point sources and considering possible head-position biases, a robust crosstalk cancellation method based on least square error is proposed. We evaluate the cancellation performance on system condition number, dynamic range loss and channel separation factor. The simulation results conclude that the proposed method is more suitable in near-field crosstalk cancellation task.

关键词： Study Near-Field Crosstalk Cancellation Based least square algorithm

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Reduced-order identification methods: Hierarchical algorithm or variable elimination algorithm

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AUTOMATICA 2025年 172卷

作者： Chen, Jing Mao, Yawen Wang, Dongqing Gan, Min Zhu, Quanmin Liu, Feng Jiangnan Univ Sch Sci Wuxi 214122 Peoples R China Qingdao Univ Coll Elect Engn Qingdao 266071 Peoples R China Qingdao Univ Coll Comp Sci & Technol Qingdao 266071 Peoples R China Univ West England Dept Engn Design & Math Bristol BS16 1QY England Stevens Inst Technol Sch Syst & Enterprises Hoboken NJ 07030 USA

Reduced-order identification algorithms are usually used in machine learning and big data technologies, where the large-scale systems widely exist. For large-scale system identification, traditional least squares algorithm involves high-order matrix inverse calculation, while traditional gradient descent algorithm has slow convergence rates. The reduced-order algorithm proposed in this paper has some advantages over the previous work: (1) via sequential partitioning of the parameter vector, the calculation of the inverse of a high-order matrix can be reduced to low-order matrix inverse calculations;(2) has a better conditioned information matrix than that of the gradient descent algorithm, thus has faster convergence rates;(3) its convergence rates can be increased by using the Aitken acceleration method, therefore the reduced-order based Aitken algorithm is at least quadratic convergent and has no limitation on the step-size. The properties of the reduced-order algorithm are also given. Simulation results demonstrate the effectiveness of the proposed algorithm. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

关键词： Reduced-order algorithm least square algorithm Gradient descent algorithm Condition number Hierarchical identification algorithm Variable elimination algorithm

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Leader-follower tracking in lipschitz nonlinear multi agent systems under undirected graph with noisy sinusoidal motion of the leader

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EVOLVING SYSTEMS 2024年第2期15卷 555-573页

作者： Ghasemzadeh, Seyyed Vahid Safarinejadian, Behrouz Shiraz Univ Technol Dept Elect Engn Modarres Blvd Shiraz 715555313 Iran

A distributed control protocol is proposed in this paper for tracking a leader with a sinusoidal motion path considering an undirected communication graph. A multi-agent system (MAS) is considered in which the dynamics of all agents and the leader are nonlinear and contaminated with noise. Firstly, we assume that the states of the leader and all of the agents are measurable without noise. In this case, graph theory, Lyapunov approach and Lasalle principle are used to design a distributed control protocol for nonlinear MASs to follow the leader with nonlinear dynamics. Next, it is supposed that the leader has a sinusoidal motion and its neighbor followers observe the leader with noise. Therefore, the parameters of measured signal including amplitude, frequency and phase are unknown. In this way, a novel algorithm called Integral Linear least square (ILLS) is proposed to estimate unknown parameters of sinusoidal behavior of the leader which is contaminated by noise, accurately. Next, a distributed control algorithm is designed for multiagent systems with Lipschitz nonlinearities under undirected graph to track the estimated states of the leader with noisy sinusoidal motion. Finally, numerical simulations illustrate the effectiveness of the proposed algorithms.

关键词： Multi agent Leader tracking Graph theory Lyapunov approach Lasalle principle least square algorithm

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Multiparameter Estimation of IPMSMs Using Core Loss Current Calculations in dq-Axis Equivalent Circuit Model

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IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS 2023年第2期59卷 1295-1306页

作者： Cheng, Hongfu Toulabi, Mohammad Sedigh Deshpande, Uday Kar, Narayan C. Univ Windsor Windsor ON N9B 3P4 Canada D&V Elect Ltd Toronto ON L4H 2Y7 Canada

Accurate parameter estimation is critical for high-performance modeling and control of interior permanent magnet synchronous machines (IPMSMs). Core loss effects affect the accuracy of the parameter estimation, especially in high loading conditions with saturated cores. Existing research on parameter estimation considering core loss effects generally focuses on the core loss equivalent resistance estimation;however, they require either accurate core loss experimental data or finite element analysis (FEA) model. The core loss equivalent resistance is dependent on the loading conditions, harmonics, frequency, and temperature, which increases the difficulty of accurately estimating the resistance. This article firstly proposes a direct core loss equivalent current estimation method for multiparameter estimation purposes without estimating the core loss equivalent resistance. Based on the estimated core loss equivalent currents, the dq-axis inductances equivalent currents are calculated to perform the multiparameter estimation. The proposed approach can improve the precision of the parameter estimation and the computation efficiency by calculating the core loss equivalent resistance currents without having the core loss data. The effectiveness of the proposed multiparameter estimation method is evaluated by comparing the calculated and measured torques of a laboratory 4.5 kW IPMSM in various operating conditions. The improved accuracy of the proposed method is verified by comparing it with two existing online parameter estimation methods and FEA-based offline parameter estimation results.

关键词： Core loss decoupled parameter estimation least square algorithm magnetic saturation VSI nonlinearity

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Differential Model based Parameter Estimation of IPMSMs from Multi-state Measurements

Differential Model based Parameter Estimation of IPMSMs from...

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IEEE International Magnetics Conference (INTERMAG)

作者： Cheng, Hongfu Deshpande, Uday Kar, Narayan C. Univ Windsor Dept Elect & Comp Engn Windsor ON N9B 3P4 Canada D&V Elect Ltd 130 Zenway Blvd Woodbridge ON L4H 2Y7 Canada

ISBN: (纸本)9798350362213;9798350362220

Accurate parameter estimations are essential for efficient operation and high performance of interior permanent magnet synchronous machines (IPMSMs). A differential model is proposed to estimate three-phase IPMSM parameters, including permanent magnet (PM) flux linkage, winding resistance, and machine inductances. A three-phase IPMSM model considering voltage source inverter (VSI) nonlinearity and magnetic saturation is investigated, then the model is decoupled based on the proposed differential approach to reduce cross affection and observational error. With multi-state measurements, each parameter is estimated separately with high efficiency and *** square (LS) algorithm is employed to improve the computational efficiency. The proposed approach is especially suitable for identifying parameters over an extensive speed range under various load conditions without requirement for any signal injection.

关键词： Differential model IPMSMs least square algorithm magnetic saturation parameter estimation VSI nonlinearity

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Polarization Tracking in the Presence of PDL and Fast Temporal Drift

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JOURNAL OF LIGHTWAVE TECHNOLOGY 2022年第19期40卷 6408-6416页

作者： Farsi, Mohammad Hager, Christian Karlsson, Magnus Agrell, Erik Chalmers Univ Technol Dept Elect Engn SE-41296 Gothenburg Sweden Chalmers Univ Technol Dept Microtechnol & Nanosci SE-41296 Gothenburg Sweden

In this paper, we analyze the effectiveness of polarization tracking algorithms in optical transmission systems suffering from fast state of polarization (SOP) rotations and polarization-dependent loss (PDL). While most of the gradient descent (GD)-based algorithms in the literature may require step size adjustment when the channel condition changes, we propose tracking algorithms that can perform similarly or better without parameter tuning. Numerical simulation results show higher robustness of the proposed algorithms to SOP and PDL drift compared to GD-based algorithms, making them promising candidates to be used in aerial fiber links where the SOP can potentially drift rapidly, and therefore becomes challenging to track.

关键词： Signal processing algorithms Channel estimation Symbols Optical fiber dispersion Optical polarization Optical fiber amplifiers Optical fiber couplers Constant modulus algorithm hybrid algorithm least square algorithm polarization-dependent loss polarization tracking state of polarization

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Differential Model-Based Parameter Estimation of IPMSMs From Multi-State Measurements

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IEEE TRANSACTIONS ON MAGNETICS 2024年第9期60卷 1页

作者： Cheng, Hongfu Deshpande, Uday Kar, Narayan C. Univ Windsor Dept Elect & Comp Engn Windsor ON N9B 3P4 Canada D&V Elect Ltd Woodbridge ON Canada

Accurate parameter estimations are essential for efficient operation and high performance of interior permanent magnet synchronous machines (IPMSMs). Voltage source inverter (VSI) nonlinearity can adversely affect parameter estimation in IPMSM drive systems. Cross influence can compromise the accuracy of parameter estimation. This article proposes a differential model-based decoupling scheme to eliminate VSI nonlinearity effects and cross influence for accurately estimating key IPMSM parameters, including permanent magnet (PM) flux linkage, winding resistance, and machine inductances. The adverse effect of measurement noise and observational error on parameter estimation can be reduced in the proposed differential model. Utilizing the decoupling scheme, each parameter is estimated individually with high efficiency and accuracy leveraging the least square algorithm. The proposed differential model-based decoupling scheme is particularly well-suited for accurately estimating parameters over a wide speed range and diverse load conditions. The estimated parameters can improve the accuracy of predicting electromagnetic torque. Furthermore, the proposed method is noninvasive, robust, and does not require extra signal injection.

关键词： Torque Parameter estimation Accuracy Estimation Couplings Mathematical models Steady-state Differential model interior permanent magnet synchronous machines (IPMSMs) least square algorithm magnetic saturation parameter estimation voltage source inverter (VSI) nonlinearity

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