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Relevant bibliographies by topics / Pole assignment Mathematical models

Academic literature on the topic 'Pole assignment Mathematical models'

Author: Grafiati

Published: 10 December 2022

Last updated: 29 January 2023

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Journal articles on the topic "Pole assignment Mathematical models"

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Lam, J., and H. K. Tam. "Pole assignment with minimum eigenvalue differential sensitivity." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 211, no. 1 (February 1, 1997): 63–74. http://dx.doi.org/10.1243/0959651971539696.

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This paper introduces a set of mathematical formulae for calculating the eigenvalue differential sensitivities of the closed-loop state matrix with respect to the open-loop state matrix, input matrix and state feedback matrix. It provides a computational procedure for a robust pole assignment problem. The algorithm is based on a gradient flow minimization of a differentiate objective function which measures the sensitivity for all closed-loop poles. Two numerical examples are employed to illustrate the technique. Comparisons to other existing methods are made as well.

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Araki, Mituhiko, Ken’ichi Fukumitsu, and Tomomichi Hagiwara. "Simultaneous Stabilization and Pole Assignment by Two Level Controllers Consisting of a Gain Feedback and a Multirate Input Controller." Journal of Dynamic Systems, Measurement, and Control 121, no. 2 (June 1, 1999): 302–5. http://dx.doi.org/10.1115/1.2802470.

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A method of simultaneous pole assignment of a finite number of plant models is studied. Extending the idea of multi-structured multirate sampled-data controllers proposed in our previous work, this paper proposes a new method where a continuous-time gain feedback controller instead of a multirate sampled-data controller is used as the “internal structure.” By the proposed method, the plants precompensated by the internal structure can generally be made to satisfy an existing sufficient condition for simultaneous pole-assignability, and hence the class of the plant models for which simultaneous pole assignment can be attained becomes wider than that by the previous results. In particular, simultaneous pole assignment becomes possible for any finite number of plant models, provided that each model is controllable and observable.

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Halpern, M. E. "Modified pole-assignment controller for plant models with exact or near pole-zero cancellation." IEE Proceedings D Control Theory and Applications 135, no. 3 (1988): 189. http://dx.doi.org/10.1049/ip-d.1988.0026.

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Mclnnis, B. C., Deng L-Z, and R. Vogt. "Adaptive Pole Assignment Control of Blood Pressures using Bilinear Models." IFAC Proceedings Volumes 18, no. 5 (July 1985): 1209–12. http://dx.doi.org/10.1016/s1474-6670(17)60727-4.

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Tam, Hei Ka, and James Lam. "An Optimal Differential Sensitivity Approach to Pole Assignment for Structurally Perturbed Systems." Journal of Dynamic Systems, Measurement, and Control 121, no. 3 (September 1, 1999): 410–17. http://dx.doi.org/10.1115/1.2802489.

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This paper introduces a mathematical formula for calculating the eigenvalue differential sensitivities of the closed-loop state matrix with respect to a disturbance matrix when the closed-loop system is subjected to an additive structured perturbation. The robust pole assignment problem is then formulated as an optimization task in which the differential sensitivities of the closed-loop poles are minimized. The case of “multi-perturbations” can be considered naturally in our problem formulation. The gradient of the objective function to be minimized is then derived which permits the minimization to be proceeded effectively. Numerical examples are then employed to illustrate the design technique.

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Vikharev, D. Yu, and N. A. Rodin. "Model of implicit pole electric machine based on mathematical formulation of magnetic field in air gap." Vestnik IGEU, no. 6 (December 28, 2021): 27–37. http://dx.doi.org/10.17588/2072-2672.2021.6.027-037.

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When modeling transient processes in electric power systems, the issue of designing reliable models of electrical machines is of great interest. The most difficult task is to design the models of synchronous and asynchronous machines. The purpose of the project is to develop mathematical models of synchronous and asynchronous machines based on a generalized model of an implicit-pole machine that considers the change of rotor speed, geometric shapes, and the type of rotor and stator windings. Methods of mathematical modeling of electromagnetic fields in the air gap based on Maxwell equations and methods of the theory of electrical circuits are applied. A system of nonlinear differential equations is considered as a mathematical model of a generalized implicit-pole machine. The key assumption made is the high magnetic permeability of the stator and rotor cores. Technical data of real electric machines have been used for verification. Mathematical models of an implicit pole synchronous machine and an asynchronous machine with a phase rotor have been developed. These models can be used to analyze transient processes in the aggregate without dividing them into electromagnetic and electromechanical ones. The novelty of the models is the fact of non-sinusoidal distribution of the magnetic field in the air gap, various types of multiphase AC windings and rejecting the principle of constant rotation frequency at the time step of the simulation. The proposed mathematical models can be used to solve design problems, to analyze the modes of electric power systems, the operation of relay protection and automation of electric power facilities, and emergency automation. In the future, the equations that consider the influence of the damper circuits and the peculiarities of the windings will be added to the developed mathematical models. The purpose of further research is to develop models of salient-pole synchronous machines and asynchronous machines with a squirrel-cage rotor.

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Obredor-Baldovino, Thalía, Evis Barcasnegras-Moreno, Nohora Mercado-Caruso, Katherinne Salas-Navarro, and Shib Sankar Sana. "Coverage Reduction: A Mathematical Model." Journal of Advanced Manufacturing Systems 17, no. 03 (July 30, 2018): 317–31. http://dx.doi.org/10.1142/s0219686718500191.

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This paper deals with a mathematical model for reduction of the lack of coverage (LC) involving multiple coverage in presence of partial covering. The model proposes a new structure of assignment of facilities in a facility location system to cover in greater proportion of the demand territory, avoiding assignment of several facilities in the same space of the territory. A comparison between the engendered solution and its representation is carried out through known indicators to measure the improvement of the solution. The results of our proposed model are contrast and better compared to defined referred models in order to evaluate the reduction of LC.

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V. R. Sheelavant, R. L. Chakrasali, Manjunath B. Ranadev,. "Modeling of Three-Phase Written-Pole Motor and Performance Predetermination using Numerical Methods." Mathematical Statistician and Engineering Applications 71, no. 3s (July 19, 2022): 08–18. http://dx.doi.org/10.17762/msea.v71i3s.3.

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Modeling has attracted increasing attention from researchers. A physical system transformation to a mathematical base is important to analyse the behaviour of the system. The solution of various engineering problems depends on appropriate mathematical models. Differential equations are the basic tool for the mathematical modeling of electric machines. A model that describes the machine performance is used to analyse the dynamic behaviour of a 3-phase written-pole motor. Mathematical modeling of a 3-phase written-pole motor will help us to do the numerical analysis. It provides insight and useful guidance for originating the applications. A method for studying the behaviour of a 3-phase written-pole motor under steady state condition is described. The numerical tools such as Gauss-Seidel method and Successive Over-Relaxation method are used. This study forms the foundation for further research and development.

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Al-Yakoob, Salem M., and Hanif D. Sherali. "Mathematical programming models and algorithms for a class–faculty assignment problem." European Journal of Operational Research 173, no. 2 (September 2006): 488–507. http://dx.doi.org/10.1016/j.ejor.2005.01.052.

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Batiha, Khaled. "Development of Mathematical Models to Estimate Optimum Capacity Assignment Network Connections." International Journal of Computer Applications 129, no. 16 (November 17, 2015): 12–14. http://dx.doi.org/10.5120/ijca2015906964.

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Dissertations / Theses on the topic "Pole assignment Mathematical models"

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譚熙嘉 and Hei-Ka Patrick Tam. "Optimization approaches to robust pole assignment in control system design." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B3123933X.

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Fung, Wen-chi Sylvia, and 馮韻芝. "Calibration and validation of transit network assignment models." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B34624211.

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張詠敏 and Wing-man Cheung. "Dynamic traffic assignment for congested highway network." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B42575886.

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Abdelghany, Ahmed F. "Dynamic micro-assignment of travel demand with activity/trip chains." Full text (PDF) from UMI/Dissertation Abstracts International Access restricted to users with UT Austin EID, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3023538.

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Wu, Mingqin, and 吴明琴. "Essays on job assignment and social security." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B46090873.

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Jiang, Yu, and 姜宇. "Reliability-based transit assignment : formulations, solution methods, and network design applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/207991.

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Wong, Tse-chiu, and 黃資超. "An iterative genetic algorithm-based approach to machine assignment problems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B3035710x.

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Wang, Yinhua. "Fleet assignment, eulerian subtours and extended steiner trees." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/24922.

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Ernst, Wolfgang F. "The economic rationale for stochastic urban transport models and travel behaviour : a mathematical programming approach to quantitative analysis with Perth data." UWA Business School, 2003. http://theses.library.uwa.edu.au/adt-WU2005.0004.

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[Formulae and special characters can only be approximated here. Please see the pdf version of the abstract for an accurate reproduction.] This thesis reviews, extends and applies to urban traffic analysis the entropy concept of Shannon and Luce's mathematical psychology in a fairly complex and mathematically demanding model of human decision making, if it is solved as a deeply nested structure of logit calculus. Recognising consumers' different preferences and the universal propensity to seek the best choice when going to some desired goal (k), a transparent mathematical program (MP) is developed: the equivalent of a nested multinomial logit model without its inherent computational difficulty. The MP model makes a statistical assessment of individual decisions based on a randomised (measurable) utility within a given choice structure: some path through a diagram (Rk, Dk), designed a priori, of a finite number of sequential choices. The Equivalence Theorem (ET) formalises the process and states a non-linear MP with linear constraints that maximises collective satisfaction: utility plus weighted entropy, where the weight (1/θn) is a behavioural parameter to be calibrated in each case, eg for the Perth CBD. An optimisation subject to feasible routes through the (Rk, Dk) network thus captures the rational behaviour of consumers on their individually different best-choice decision paths towards their respective goals (k). This theory has been applied to urban traffic assignment before: a Stochastic User Equi-librium (SUE). What sets this thesis apart is its focus on MP models that can be solved with standard Operations Research software (eg MINOS), models for which the ET is a conditio sine qua non. A brief list of SUE examples in the literature includes Fisk's logit SUE model in (impractically many) route flows. Dial's STOCH algorithm obviates path enumeration, yet is a logit multi-path assignment procedure, not an MP model; it is nei-ther destination oriented nor an optimisation towards a SUE. A revision of Dial's method is provided, named STOCH[k], that computes primal variables (node and link flows) and Lagrangian duals (the satisfaction difference n→k). Sheffi & Powell presented an unconstrained optimisation problem, but favoured a probit SUE, defying closed formulae and standard OR software. Their model corresponds to the (constrained) dual model here, yet the specifics of our primary MP model and its dual are possible only if one restricts himself to logit SUE models, including the ET, which is logit-specific. A real world application needs decomposition, and the Perth CBD example is iteratively solved by Partial Linearisation, switching from (measured) disutility minimisation to Sheffi & Powell's Method of Successive Averages near the optimum. The methodology is demonstrated on the Perth Central Business District (CBD). To that end, parameter Θ is calibrated on Main Roads' traffic count data over the years 1997/98 and 1998/99. The method is a revision of Liu & Fricker's simultaneous estimation of not only Θ but an appropriate trip matrix also. Our method handles the more difficult variable costs (congestion), incomplete data (missing observations) and observation errors (wrong data). Finally, again based on Main Roads' data (a sub-area trip matrix), a Perth CBD traffic assignment is computed, (a) as a logit SUE and - for comparison - (b) as a DUE (using the PARTAN method of Florian, Guélat and Spiess). The results are only superficially similar. In conclusion, the methodology has the potential to replace current DUE models and to deepen transport policy analysis, taking into account individual behaviour and a money-metric utility that quantifies 'social benefits', for instance in a cost-benefit-analysis.

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Lloyd, Evan Robert. "A model for the economic analysis of road projects in an urban network with interrelated incremental traffic assignment method." University of Western Australia. Economics Discipline Group, 2005. http://theses.library.uwa.edu.au/adt-WU2005.0083.

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[Truncated abstract] In an urban network, any change to the capacity of a road or an intersection will generally result in some traffic changing its route. In addition the presence of intersections creates the need for frequent stops. These stops increase the fuel consumption by anywhere between thirty to fifty percent as evidenced by published standardised vehicle fuel consumption figures for urban and for country driving. Other components of vehicle operating costs such as tyre and brake wear and time costs will also be increased by varying amounts. Yet almost all methods in use for economic evaluation of urban road projects use open road vehicle operating costs (sometimes factored to represent an average allowance for stopping at intersections) for one year or sometimes two years in the analysis period and then make assumptions about how the year by year road user benefits may change throughout the period in order to complete the analysis. This thesis will describe a system for estimating road user costs in an urban network that calculates intersection effects separately and then adds these effects to the travel costs of moving between intersections. Daily traffic estimates are used with a distribution of the flow rate throughout the twenty-four hours giving variable speed of travel according to the level of congestion at different times of the day. For each link, estimates of traffic flow at two points in time are used to estimate the year-by-year traffic flow throughout the analysis period by linear interpolation or extrapolation. The annual road user costs are then calculated from these estimates. Annual road user benefits are obtained by subtracting the annual road user costs for a modified network from the annual road user costs for an unmodified network. The change in the road network maintenance costs are estimated by applying an annual per lane maintenance cost to the change in lane-kilometres of road in the two networks. The Benefit Cost Ratio is calculated for three discount rates. An estimate of the likely range of error in the Benefit Cost Ratio is also calculated

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Books on the topic "Pole assignment Mathematical models"

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Quint, Thomas. Elongation of the core in an assignment game. Stanford, Calif: Institute for Mathematical Studies in the Social Sciences, Stanford University, 1987.

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Li, Hao. Unraveling in assignment markets. Cambridge, MA: National Bureau of Economic Research, 1996.

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Jaehn, Florian. Robust flight gate assignment. Frankfurt am Main: P. Lang, 2008.

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Ida, Tohru. An approach to the transit passenger assignment with its application to metropolitan Manila. [Matsudo City, Japan]: Ida, 1992.

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Piekarska, Wiesława. Analiza numeryczna zjawisk termomechanicznych procesu spawania laserowego: Pole temperatury, przemiany fazowe i naprężenia. Częstochowa: Wydawn. Politechniki Częstochowskiej, 2007.

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Mo, Jie-Ping. Production theory with heterogeneous workers and capital goods: An application of coalition production models and assignment games. Nankang, Taipei, Taiwan, Republic of China: The Institute of Economics, Academia Sinica, 1987.

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Patriksson, Michael. Traffic Assignment Problem. Dover Publications, Incorporated, 2015.

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Patriksson, Michael. Traffic Assignment Problem: Models and Methods. Dover Publications, Incorporated, 2015.

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Patriksson, Michael. Traffic Assignment Problem: Models and Methods. Dover Publications, Incorporated, 2015.

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Patriksson, M. Traffic Assignment Problems: Models and Methods (Topics in Transportation Series). V.S.P. Intl Science, 1994.

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Book chapters on the topic "Pole assignment Mathematical models"

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Weinmann, Alexander. "Robust Pole Assignment." In Uncertain Models and Robust Control, 249–58. Vienna: Springer Vienna, 1991. http://dx.doi.org/10.1007/978-3-7091-6711-3_15.

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Leonov, G. A., and N. V. Kondrat’eva. "Electromechanical and Mathematical Models of Salient-Pole Synchronous Motors." In Advanced Dynamics and Model-Based Control of Structures and Machines, 143–50. Vienna: Springer Vienna, 2011. http://dx.doi.org/10.1007/978-3-7091-0797-3_17.

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Kachroo, Pushkin, and Kaan M. A. Özbay. "Traffic Assignment: A Survey of Mathematical Models and Techniques." In Advances in Industrial Control, 25–53. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-69231-9_2.

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Kachroo, Pushkin, and Neveen Shlayan. "Dynamic Traffic Assignment: A Survey of Mathematical Models and Techniques." In Complex Networks and Dynamic Systems, 1–25. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6243-9_1.

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Jaumard, Brigitte, Odile Marcotte, and Christophe Meyer. "Mathematical Models and Exact Methods For Channel Assignment in Cellular Networks." In Telecommunications Network Planning, 239–55. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-5087-7_13.

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Sawik, Bartosz. "Application of multi-criteria mathematical programming models for assignment of services in a hospital." In Applications of Management Science, 39–53. Emerald Group Publishing Limited, 2013. http://dx.doi.org/10.1108/s0276-8976(2013)0000016006.

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Trigos, Federico, and Eduardo Manuel López. "Programming Global Strategy to Maximize Net Income Modeling Legal Conditions and Corporate Values." In Operations and Service Management, 407–27. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-3909-4.ch020.

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Planning has always been a challenge for managers and decision makers. In particular, if the manufacturing facilities are located in several countries, significant differences in tax and legal requirements have to be taken into consideration during the process. Corporate policies regarding profit sharing schemes will also play a role in final income. This work proposes a production planning systematic approach based on mathematical programming models applied to income statements in order to allocate production for the next operating period of time taking into account the mathematical modeling of corporate ethics, principles and values. Several manufacturing facilities located in different countries have to produce forecasted demand of a number of families of products, each of which can only be manufactured in a reduced subset of all the manufacturing plants. This production assignment process seeks to maximize corporate net income while complying with local regulations and corporate policies. Investors will find models useful for evaluating new plant and product allocation schemes.

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Yılmaz, Ömer Faruk, and Mehmet Bülent Durmuşoğlu. "An Integrated Methodology for Order Release and Scheduling in Hybrid Manufacturing Systems." In Handbook of Research on Applied Optimization Methodologies in Manufacturing Systems, 125–61. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-2944-6.ch007.

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There are three main problems that could impact the performance of a Hybrid Manufacturing System (HMS): (1) order release (OR), (2) batch scheduling and (3) worker assignment. This paper deals with these three main problems hierarchically for an HMS. Three different mathematical models are developed to describe the problems more clearly. A novel methodology is proposed to adopt a holistic approach to these problems and find an effective solution. Implementation of the proposed methodology permits integrating batch scheduling and worker timetabling. Feasible solutions in the best-known Pareto front are evaluated as alternative solutions. The goal is to select a preferred solution that satisfies worker constraints, creates effective worker teams in cells, minimizes the number of utility workers, and the average flow time. The study also presents several improvements, which are made following the application of the proposed methodology to a real company that produces expansion joints.

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Conference papers on the topic "Pole assignment Mathematical models"

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Wu, Huyao, and Bin Ran. "Numeric Approach on Optimal Control for the Path Following System in Autonomous Vehicle." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97518.

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Abstract In this paper, the control strategies for Path Following System (PFS) in autonomous vehicle, which lets vehicle stay in the center of its lane is discussed, we will create a plant mechanical, mathematical and error dynamics model for the study of PFS, which is stabilized by the state-feedback control law, also considers the output where the sensor is made. We apply mainly an optimal control or configure a Linear-quadratic Regulator (LQR) for state space systems and compare it to that based on the Pole Assignment (PA). Combined with a typical operating scenario of the road, we mainly consider static and dynamic errors in the moving process, and how intensely the error fluctuates and how errors are related to the next time. Figures and data show that the LQR controller successfully adjusts and gives appropriate input to let the vehicle approach to centerline, errors and the steering angle required to negotiate a curved road are presented and analyzed, finally relevant conclusions are drawn.

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Singh, Kumar V., and Xiaoxuan Ling. "Active Control of Viscoelastic Systems by the Method of Receptance." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-67725.

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Viscoelastic materials both stores and dissipate energies and have frequency and temperature dependent properties and hence by tuning and optimizing their damping (viscous) and stiffness (elastic) properties they can be used as passive controlling devices in wide range of vibration applications. If the control of viscoelastic systems (viscoelastic structures or structures composed of viscoelastic elements) to be realized by active means, then an accurate mathematical modeling of the viscoelastic system is needed. In practice, various material models and approximation techniques such as Biot model, Golla-Hughes-McTavish (GHM) model and Anelastic Displacement Field (ADF) methods are used to model the dynamic behavior of viscoelastic systems. These models are then transformed into approximating state space models which introduces several challenges: (i) they increase the size of the related eigenvalue problems, (ii) state space realization introduces non-physical internal state variables, and, (iii) the feedback control implementation poses practical challenges such as observer and state estimator design. In this research it is shown that the active control for viscoelastic structures can be designed accurately by only utilizing the available transfer functions. These transfer functions can be obtained from dynamic experiments and the active feedback control is designed without having the knowledge of approximated state-space system matrices. The problem associated with the active control for viscoelastic system is formulated as feedback control problems in frequency domain by using the receptance method. Active control for poles and zeros assignment of the viscoelastic systems is demonstrated using numerical examples associated with the multi-degree-degree of freedom systems. It is also shown that a nested active controller can also be designed for continuous structures (beams/rods) supported by viscoelastic elements. It is highlighted that such a controller design requires modest size of transfer functions and solution of the set of linear system of equations.

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KALOGEROPOULOS, G. I., A. A. PANTELOUS, and D. P. PAPACHRISTOPOULOS. "POLE ASSIGNMENT FOR LINEAR DISCRETE - TIME SYSTEMS BY STATIC OUTPUT FEEDBACK." In Proceedings of the 8th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812814852_0017.

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Korotka, T., Petr Zagalak, Jean Jacques Loiseau, and V. Kucera. "Sufficiency conditions for pole assignment in column-regularizable implicit linear systems." In 2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR 2012). IEEE, 2012. http://dx.doi.org/10.1109/mmar.2012.6347844.

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Salem, Ahmed, Marc St-Hilaire, and Muhammad Sajjad Khan. "Mathematical Models for Task Assignment with Service Level Agreement in Fog Computing." In 2022 International Conference on Smart Applications, Communications and Networking (SmartNets). IEEE, 2022. http://dx.doi.org/10.1109/smartnets55823.2022.9993983.

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Pi, Yajie, Xueyan Song, and Jizhou Sun. "Mathematical Models, GRASP Algorithms and Fitness Landscape Analysis for Aircraft Gate Assignment Problem." In 2014 Tenth International Conference on Computational Intelligence and Security (CIS). IEEE, 2014. http://dx.doi.org/10.1109/cis.2014.14.

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Goyder, H. G. D. "General Models for Linear Damping." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30358.

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The standard model for damping is the linear viscous dashpot which produces a force proportional to velocity. Although other sources of linear damping are known to exist, such as that due to viscoelasticity, it is not clear what range of mathematical forms damping models can take. Here it is suggested that there are only three types of damping model. These models are deduced by examining three configurations of mechanical components. These configurations include combinations of springs and dashpots and, most significantly, a semi-infinite beam. It is found that these models are best examined in the Laplace or s-plane so that features of the damping models may be expressed in terms of complex variable theory. The three types of damping model revealed by this analysis correspond to poles lying off the imaginary axis, poles on the negative real axis and pole like forms on the negative real axis that give rise to branch cuts. It is conjectured that these are the complete set of mathematical models that describe damping.

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Schwartz, Michael, Cortnee Stainrod, and Irin Nizam. "Pedestrian Modeling for Mitigation of Disease Transmission in a Simulated University Environment." In 13th International Conference on Applied Human Factors and Ergonomics (AHFE 2022). AHFE International, 2022. http://dx.doi.org/10.54941/ahfe1001358.

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Understanding the spread of COVID-19 through mathematical modeling is an effective method of evaluating control interventions and the impact of infectious diseases. It is important to understand how individuals move and gather within indoor spaces as early awareness of specified strategies act as decision-making tools to riskier alternatives. On university campuses, indoor spaces pose unique threats due to high traffic spaces in the building hallways, restrooms and bottleneck points that lead to mass congregation and therefore increased risk of transmission. Evaluation of infectious diseases transmission as a result of pedestrian dynamics (e.g., pedestrian density, crowding, queue and wait times) was used to determine time-varying social distancing during pedestrian interactions/movements. Multiple campus buildings were modeled to demonstrate environments with varying size and complexity. Building models were constructed using the pedestrian features of AnyLogic. The proposed solution makes the following contributions by tracking the control measures of pedestrian dynamics at the microscopic level through temporal and spatial separation. This is done by enforcing social distancing through reducing the number of individual occupants at one time (i.e., segmented student population) and staggering start and end arrival times.The two greatest risk factors in the models were time and space. Entrances and exits to buildings, classrooms, and restrooms, and other queues forced simulated agents to cross the danger threshold as these building features were physical bottlenecks. Model results demonstrated sharp, but brief increases in transmission due to not staggering class arrival and departure times. Results indicated that controlling scheduling or forcing space assignments/social distancing were effective in reducing contacts and risk of spreading disease; however, the greatest reduction in risk of disease transmission occurred when both methods were used in conjunction. When class arrival and departure times are staggered, transmission between people not in the same class is only possible during chance encounters due to restroom visits, late arrivals, or early departures.

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Chooi, Weng W., and S. Olutunde Oyadiji. "Mathematical Modelling and Design and of MR Dampers." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58447.

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Most magnetorheological (MR) fluid devices are fixed-pole valve mode devices where the fluid flows through a magnetically active valve. Controlling the strength of the magnetic field inside the valve allows the rheological properties of the MR fluid to be varied. Upon the application of a magnetic field, MR fluids develop a yield stress, which must be overcome before any flow is possible. This behavior can be represented mathematically by models of fluid with a yield stress like the Bingham plastic model. MR dampers have utilized this property of the MR fluids to provide controllable, semi-active vibration control. The most effective and widely used configuration of MR dampers incorporates an annular gap through which the MR fluid is force to flow. This paper presents a solution for annulus flows, derived from fundamental equations of fluid mechanics, of any general model of fluid with a yield stress. An example of the application of the general analytical expressions using the Herschel-Buckley model is given, and the limitations of the parallel plate approximation is illustrated for configurations whereby the size of the annular gap relative to the mean radius is large. Finally, the flow solution is incorporated into the mathematical model of an MR damper designed at the University of Manchester, and simulation results incorporating the effects of compressibility in the modeling procedure are presented. It was shown that this model can describe the major characteristics of such a device — nonlinear, asymmetric and hysteretic behaviors — successfully.

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Kundu, Sourav, Kentaro Kamagata, Shigeru Sugino, Takeshi Minowa, and Kazuto Seto. "Solving Vibration Control Problems Using Reduced Order Models for Flexible Structures: A Genetic Algorithm Approach." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-3817.

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Abstract A Genetic Algorithm (GA) based approach for solution of optimal control design of flexible structures is presented in this paper. The method for modeling flexible structures with distributed parameters as reduced-order models with lumped parameters, which has been developed previously, is employed. Due to some restrictions on controller design it is necessary to make a reduced-order model of the structure. Once the model is established the design of flexible structures is considered as a feedback search procedure where a new solution is assigned some fitness value for the GA and the algorithm iterates till some satisfactory design solution is achieved. We propose a pole assignment method to determine the evaluation (fitness) function to be used by the GA to find optimal damping ratios in passive elements. This paper demonstrates the first results of a genetic algorithm approach to solution of the vibration control problem for practical control applications to flexible tower-like structures.

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