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Nuclear reactor with subdiffusive neutron transport: development of linear fractional-order models

International Journal of Dynamics and control 2017年第4期5卷 1182-1200页

作者： Vyawahare, Vishwesh A. Nataraj, P.S.V. Espinosa-Paredes, G. Cázares-Ramírez, R.-I. Department of Electronics Engineering Ramrao Adik Institute of Technology Nerul Navi Mumbai India IDP in Systems and Control Engineering Indian Institute of Technology Bombay Powai Mumbai India Área de Ingenierí en Recursos Energéticos Universidad Autónoma Metropolitana-Iztapalapa Av. San Rafael Atlixco 186 Col. Vicentina MexicoD.F.09340 Mexico División de Ciencias Básica e Ingeniería División de Ciencias y Biológicas de la Salud Universidad Autónoma Metropolitana-Iztapalapa Av. San Rafael Atlixco 186 Col. Vicentina MexicoD.F.09340 Mexico

This paper deals with fractional-order (FO) modeling of a nuclear reactor. Modeling neutron transport in a nuclear reactor as subdiffusion results in the development of FO neutron telegraph equation. This model predicts subdiffusive behaviour for long-time. This fact is used to develop various linear control-oriented FO models for nuclear reactor. Development and analysis of three FO linear models is reported: FO point reactor kinetics model, Zero power FO transfer function and FO transfer function with temperature feedback of reactivity. In addition to the detailed stability analysis of these FO models, a comparative study of time-domain indices is carried out with respective integer-order models. The proposed FO models give a better representation of the neutron transport in the heterogeneous reactor core and therefore can be used to develop better model-based control strategies for a nuclear reactor. © 2016, Springer-Verlag Berlin Heidelberg.

关键词： Nuclear reactors

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Modeling neutron dynamics in nuclear reactor using fractional-order point reactor kinetics model with adiabatic temperature feedback 4

Modeling neutron dynamics in nuclear reactor using fractiona...

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4th International Conference on Simulation and Modeling Methodologies, Technologies and Applications, SIMULTECH 2014

作者： Vyawahare, Vishwesh A. Nataraj, P.S.V. Department of Electronics Engineering Ramrao Adik Institute of Technology Navi Mumbai India IDP in Systems and Control Engineering Indian Institute of Technology Bombay Powai Mumbai India

ISBN: (纸本)9789897580383

This paper deals with the development and analysis of fractional-order (FO) point reactor kinetics (FPRK) model with reactivity feedback for a nuclear reactor. Incorporation of adiabatic temperature feedback of reactivity makes this model nonlinear. It basically forms a system of coupled, nonlinear ordinary differential equations. The nonlinear subprompt critical FPRK model is developed and analyzed in detail. Fundamental motivation for this model is the fact that neutron transport inside the core of a reactor is truly a subdiffusion. The work presented here analyzes the effect of temperature feedback on the neutron concentration dynamics inside reactor core which is modeled using fractional differential equations. The system of nonlinear differential equations is solved numerically. The analysis clearly establishes the fact that the proposed model is 'stable' in the sense that it predicts self-limitting power excursions. The model presented in this paper constitutes an important step in the development of fractional-order model for a nuclear reactor, which can be used to achieve better control and operation. © 2014 SciTePress. All rights reserved.

关键词： Nonlinear equations

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Modeling neutron dynamics in nuclear reactor using fractional-order point reactor kinetics model with adiabatic temperature feedback

Modeling neutron dynamics in nuclear reactor using fractiona...

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International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH)

作者： Vishwesh A. Vyawahare P. S. V. Nataraj Department of Electronics Engineering Ramrao Adik Institute of Technology Nerul Navi Mumbai India IDP in Systems and Control Engineering Indian Institute of Technolgogy Bombay Mumbai India

This paper deals with the development and analysis of fractional-order (FO) point reactor kinetics (FPRK) model with reactivity feedback for a nuclear reactor. Incorporation of adiabatic temperature feedback of reactivity makes this model nonlinear. It basically forms a system of coupled, nonlinear ordinary differential equations. The nonlinear subprompt critical FPRK model is developed and analyzed in detail. Fundamental motivation for this model is the fact that neutron transport inside the core of a reactor is truly a subdiffusion. The work presented here analyzes the effect of temperature feedback on the neutron concentration dynamics inside reactor core which is modeled using fractional differential equations. The system of nonlinear differential equations is solved numerically. The analysis clearly establishes the fact that the proposed model is ‘stable’ in the sense that it predicts self-limitting power excursions. The model presented in this paper constitutes an important step in the development of fractional-order model for a nuclear reactor, which can be used to achieve better control and operation.

关键词： Inductors Mathematical model Neutrons Analytical models Numerical models Kinetic theory Differential equations

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Integral sliding mode control for GMAW systems

Integral sliding mode control for GMAW systems

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10th IFAC Symposium on Dynamics and control of Process systems, DYCOPS 2013

作者： Bera, Manas Kr. Bandyopadhyay, B. Paul, A.K. IDP in Systems and Control Engineering Indian Institute of Technology Bombay Mumbai India Fiona 1602 Hiranandani Thane India

ISBN: (纸本)9783902823595

Gas metal arc welding (GMAW) process is one of the most popular manufacturing processes in industries such as automotive, aerospace, ship buildings, and boiler. To increase the consistency in welding quality, the automation of the welding process with feedback controllers is inevitable. This paper presents an Integral Sliding Mode (ISM) controller, a robust controller, to control the welding current and arc voltage of a GMAW system. The concept of ISM controller design technique is to combine a discontinuous control with a nominal control to achieve robustness against matched perturbations. The proportional plus integral (PI) and composite nonlinear feedback (CNF) controllers are used as nominal controllers. It is shown in the paper that the CNF controller performs better than PI controller. A linear multi input multi output (MIMO) system model has been considered here for the design. The performance of the controller is analyzed in the presence of model parameter uncertainties and external disturbances and the simulation results are presented and discussed in order to establish a comparison framework. © IFAC.

关键词： Disturbance rejection

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Periodic Output Feedback based Discrete-Time Sliding Mode control of Uncertain Linear systems with Input Delay

Periodic Output Feedback based Discrete-Time Sliding Mode Co...

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International Multi-Conference on Automation, Computing, Communication, control and Compressed Sensing

作者： P. S. Lal Priya B. Bandyopadhyay IDP in Systems and Control Engineering IIT Bombay Mumbai India

ISBN: (纸本)9781467350891

This paper proposes a novel control algorithm for linear discrete time uncertain input delay systems using infrequent output observations i.e, periodic output feedback technique. First, the uncertain delayed system, with a constant delay and bounded uncertainty is converted to an equivalent delay free system using a predictor. It has been shown that, when the output of the uncertain predicted system is sampled slower than the input, there exists a discrete-time quasi sliding mode. Since the proposed algorithm is based on output feedback, it is more practical in comparison to state feedback based control algorithms. The simulation results demonstrate the efficacy of the proposed algorithm.

关键词： Discrete-time sliding mode control(DSMC) Periodic output feedback(POF) Multirate Output Feedback(MROF) Input Delay

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Discrete-time flow control for connection-oriented communication network via reduced model

Discrete-time flow control for connection-oriented communica...

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IEEE International Conference on Industrial Informatics (INDIN)

作者： P Baburaj B Bandyopadhyay IDP in Systems & Control Engineering Indian Institute of Technology Bombay Mumbai India

In this paper, a suboptimal flow controller design for connection-oriented communication network via reduced model is proposed. Network is modeled as an n th order discrete system whose available bandwidth variations at the bottlenecked link act as an exogenous unmatched disturbance. The proposed scheme is characterized by a simple first order design which is applied to n th order systems through aggregation. Effect of bandwidth variation at the congested node which is modeled as a disturbance, is well accounted in controller design with widely adopted delay-based disturbance estimation. Performance of the proposed scheme is validated through Matlab and ns simulations. Simulation results shows that all the proposed reduced order control scheme tracks the desired queue length effectively under the adverse influence of unmatched disturbances.

关键词： Bandwidth Mathematical model State feedback Queueing analysis MATLAB Delays Computational modeling

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Integral Sliding Mode control for GMAW systems

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IFAC Proceedings Volumes 2013年第32期46卷 337-342页

作者： Manas Kr Bera B. Bandyopadhyay A.K. Paul IDP in Systems and Control Engineering Indian Institute of Technology Bombay Mumbai India Fiona 1602 Hiranandani Thane India

关键词： Robust control Discontinuous control Disturbance rejection Proportional plus Integral control

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Sliding mode control for slosh-free motion using a nonlinear sliding surface

Sliding mode control for slosh-free motion using a nonlinear...

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作者： Kurode, Shailaja Spurgeon, Sarah K. Bandyopadhyay, Bijnan Gandhi, P.S. Department of Electrical Engineering College of Engineering Pune 411005 India School of Engineering and Digital Arts University of Kent Canterbury CT2 7NZ United Kingdom IDP in Systems and Control Engineering Indian Institute of Technology Bombay Mumbai 400076 India Department of Mechanical Engineering Indian Institute of Technology Bombay Mumbai 400076 India

A new nonlinear switching surface is proposed for the design of a sliding mode controller for a class of mismatched uncertain systems. A control system for slosh-free motion of a partially filled liquid container is sought. This is representative of a broader class of systems to which the proposed methodology is applicable. A fundamental mode of lateral slosh is considered. A simple pendulum model is used to represent the lateral slosh. Given the difficulty of measuring the slosh states directly, a sliding mode observer is used for implementation of the resulting sliding mode control. The effectiveness of the theoretical developments is demonstrated via both simulation and experimental results. © 2012 IEEE.

关键词： Sliding mode control

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Design of Robust QFT controllers and Prefilters for 3x3 Distillation Column

Design of Robust QFT Controllers and Prefilters for 3x3 Dist...

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Annual IEEE India Conference

作者： Mukesh D. Patil P. S. V. Nataraj Department of Electronics Engineering Ramrao Adik Institute of Technology Nerul Navi Mumbai India 400706 IDP in Systems and Control Engineering Indian Institute of Technology Bombay Mumbai India 400 076

ISBN: (纸本)9781479922765

Design of robust controller for multivariable systems is very challenging and their automation is a key concern in control system design. In this paper, a fixed structure multivariable Quantitative Feedback Theory (QFT) controller has been synthesized by solving QFT quadratic inequalities of robust stability and tracking specifications. The quadratic inequalities (constraints) are posed as Interval Constraint Satisfaction Problem (ICSP). The constraints are solved by constraint solver - RealPaver. The synthesis problem consists of obtaining a controller that ensures stability and meets a given set of performance specifications, in spite of disturbance and model uncertainties. In addition to perform the above tasks, a MIMO controller also has to perform the difficult task of minimizing interaction between the various control loops. In QFT, the prefilter is designed to achieve the desired tracking specifications. The synthesis of prefilter in QFT is usually carried out manually, and largely depends on the designer's skill and experience. Thus, a good design is not always assured by the manual design process. Thus, it is necessary to have methodology for automated synthesis of prefilter for multivariable systems. In the design method, we pose the prefilter design problem as an ICSP and solve it using the well-established constraint solver. To validate the above design approach, the designed controllers and prefilters are simulated on 3x3 distillation column system.

关键词： QFT ICSP tracking specifications

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Periodic output feedback based discrete-time sliding mode control for multivariable systems

Periodic output feedback based discrete-time sliding mode co...

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2012 IEEE International Conference on Industrial Technology, ICIT 2012

作者： Lal Priya, P.S. Bandyopadhyay, B. IDP in Systems and Control Engineering IIT Bombay Mumbai 400076 India

ISBN: (纸本)9781467303422

This paper proposes a new algorithm for achieving discrete-time sliding mode for linear multivariable nominal systems using output feedback. The concept of periodic output feedback is used here. It has been shown that, when the output of the system is sampled slower than the input, there exist a discrete-time sliding mode. The method is very general and is applicable to any controllable and observable linear time invariant square system. The magnetic tape position control application is presented to illustrate the proposed method. © 2012 IEEE.

关键词： Magnetic tape

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