Implementation of self-tuning regulators with variable forgetting factors

Fortescue, T. R.; Kershenbaum, L.S.; Ydstie, B. Erik

doi:10.1016/0005-1098(81)90070-4

Cited by 781 publications

(220 citation statements)

References 4 publications

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“…In essence, VFM determines the tensions t i and pressures p i , given the current geometry-from which the G matrices are calculated-and the viscous nodal forces f i . To improve the quality of the solutions to these equations, they were solved over multiple steps using a variable forgetting factor approach (10,25,26).…”

Section: Methodsmentioning

confidence: 99%

Video force microscopy reveals the mechanics of ventral furrow invagination in Drosophila

Brodland

Conte

Cranston

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

169

159

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The absence of tools for mapping the forces that drive morphogenetic movements in embryos has impeded our understanding of animal development. Here we describe a unique approach, video force microscopy (VFM), that allows detailed, dynamic force maps to be produced from time-lapse images. The forces at work in an embryo are considered to be decomposed into active and passive elements, where active forces originate from contributions (e.g., actomyosin contraction) that do mechanical work to the system and passive ones (e.g., viscous cytoplasm) that dissipate energy. In the present analysis, the effects of all passive components are considered to be subsumed by an effective cytoplasmic viscosity, and the driving forces are resolved into equivalent forces along the edges of the polygonal boundaries into which the region of interest is divided. Advanced mathematical inverse methods are used to determine these driving forces. When applied to multiphoton sections of wild-type and mutant Drosophila melanogaster embryos, VFM is able to calculate the equivalent driving forces acting along individual cell edges and to do so with subminute temporal resolution. In the wild type, forces along the apical surface of the presumptive mesoderm are found to be large and to vary parabolically with time and angular position, whereas forces along the basal surface of the ectoderm, for example, are found to be smaller and nearly uniform with position. VFM shows that in mutants with reduced junction integrity and myosin II activity, the driving forces are reduced, thus accounting for ventral furrow failure.embryo morphogenesis | tissue mechanics | biomechanics | cinemechanometry

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Section: Methodsmentioning

confidence: 99%

Video force microscopy reveals the mechanics of ventral furrow invagination in Drosophila

Brodland

Conte

Cranston

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

169

159

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“…Sterowanie oraz kontrola pracy reaktora zbiornikowo-przepływowego wymaga kontroli temperatury, ciśnienia, natężenia przepływu reagentów czy stężenia składników reakcyjnych. Pożądany układ sterownia i regulacji umożliwia utrzymanie optymalnej zdolności produkcyjnej z jednostki objętości reaktora [Fortescue et al 1981].…”

Section: Wprowadzenieunclassified

Modelling and Control of Continuous Stirred Tank Reactor With Pid Controller

Wodołażski¹

2016

Inż. Ekolog.

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STRESZCZENIE W artykule przedstawiono model układu regulacji dynamiki reaktora zbiornikowego przepływowego w syntezie metanolu w układzie trójfazowym. Symulację reaktora przeprowadzono zarówno dla stanów ustalonych jak i nieustalonych. Obliczono współczynnik efektywności do osiągnięcia maksymalnej wydajności produktu z jednostki objętości reaktora. Z symulacji dynamiki reaktora w zamkniętej pętli regulacji otrzymano dane służące nastrojeniu regulatora PID (regulator proporcjonalno-całkująco-różniczkujący). Wyniki regulacji procesowej zapewniają optymalną zdolność produkcyjną reaktora wraz z eliminacją miejscowych przegrzań czy nagłych wzrostów temperatury.Słowa kluczowe: regulator PID, symulacja dynamiczna, reaktor zbiornikowy przepływowy MODELLING AND CONTROL OF CONTINUOUS STIRRED TANK REACTOR WITH PID CONTROLLER ABSTRACTThis paper presents a model of dynamics control for continuous stirred tank reactor (CSTR) in methanol synthesis in a three-phase system. The reactor simulation was carried out for steady and transient state. Efficiency ratio to achieve maximum performance of the product per reactor unit volume was calculated. Reactor dynamics simulation in closed loop allowed to received data for tuning PID controller (proportional-integral-derivative). The results of the regulation process allow to receive data for optimum reactor production capacity, along with local hot spots eliminations or temperature runaway.

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“…The RLS technique with an exponential forgetting (EF) has been used [9] and [12]. The main drawback of the EF method is the wind-up, which is result from a non-persistently exciting data vector [13], nonoptimal tracking ability, and noise corruption due to the constant forgetting factor [13]. Instead, the VF methods aim to improve the estimation by optimally changing the forgetting factor.…”

Section: Electrical Parameter Identification Of Lithium-ion Batterymentioning

confidence: 99%

“…Recently, a Bierman's UD factorization-based RLS estimation method with an EF [12] has been proposed to solve the digital computer implementation problem of RLS. However, it has drawbacks such as wind-up when a data vector is not persistently exiting [13] as well as nonoptimal tracking ability and noise influence due to the constant forgetting factor [13]. This paper proposes a parameter estimation method called fast UD recursive least square (FUDRLS), which is an alternative matrix form of the Bierman's UD update equations [14] by using a matrix triangularization method [15].…”

Section: Introductionmentioning

confidence: 99%

Model-based condition monitoring for lithium-ion batteries

Kim

Wang

Fang

et al. 2015

Journal of Power Sources

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This paper proposes a novel parameter identification method for model-based condition monitoring of lithium-ion batteries. A fast UD factorization-based recursive least square (FUDRLS) algorithm is developed for identifying time-varying electrical parameters of a battery model. The proposed algorithm can be used for online state of charge, state of health and state of power estimation for lithium-ion batteries. The proposed method is more numerically stable than conventional recursive least square (RLS)-based parameter estimation methods and faster than the existing UD RLS-based method. Moreover, a variable forgetting factor (VF) is included in the FUDRLS to optimize its performance. Due to its low complexity and numerical stability, the proposed method is suitable for the real-time embedded Battery Management System (BMS). Simulation and experimental results for a polymer lithium-ion battery are provided to validate the proposed method. American Control Conference (ACC), 2014This work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved.

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Implementation of self-tuning regulators with variable forgetting factors

Cited by 781 publications

References 4 publications

Video force microscopy reveals the mechanics of ventral furrow invagination in Drosophila

Video force microscopy reveals the mechanics of ventral furrow invagination in Drosophila

Modelling and Control of Continuous Stirred Tank Reactor With Pid Controller

Model-based condition monitoring for lithium-ion batteries

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