LMI based robust PID controller design for PWR with bounded uncertainty using interval approach

Shohan Banerjee; Jiamei  Deng; Vineet Vajpayee; Victor Becerra; Nils Bausch; S. R. Shimjith; John Arul

doi:10.1109/ICCMA46720.2019.8988755

LMI based robust PID controller design for PWR with bounded uncertainty using interval approach

Shohan Banerjee^*, Jiamei Deng, Vineet Vajpayee, Victor Becerra, Nils Bausch, S. R. Shimjith, John Arul

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

304 Downloads (Pure)

Abstract

Pressurized Water Reactors are popular in the nuclear power generation industry due to their self-regulating and self-stabilizing features which in turn help them to perform load-following operation. However, fast power maneuvering is a challenging task due to inherent nonlinearity in a reactor. It leads to changes in the behavior with variation in reactor power. Further, the heat transfers from fuel to coolant and the reactivity changes due to variation in fuel and coolant temperatures introduces uncertainty in the system. Thus, it is essential to design a robust controller for load-following operation. In this paper, the point kinetics model of PWR coupled with the Mann’s thermal-hydraulic model has been considered in addition to power sensor model and actuator model. This model has been identified as an interval system with bounded parametric uncertainties in measurements (fuel and coolant). The work then formulates a methodology to design a single robust PID controller using linear matrix inequalities by varying the weighting matrices. The outcomes have been validated using MATLAB simulations and discreetly exemplified in the result section.

Original language	English
Title of host publication	2019 The 7th International Conference on Control, Mechatronics and Automation (ICCMA)
Publisher	Institute of Electrical and Electronics Engineers Inc.
Number of pages	7
ISBN (Electronic)	978-1-7281-3787-2, 978-1-7281-3786-5
ISBN (Print)	978-1-7281-3788-9
DOIs	https://doi.org/10.1109/ICCMA46720.2019.8988755
Publication status	Published - 10 Feb 2020
Event	2019 The 7th International Conference on Control, Mechatronics and Automation - TU Delft, Delft, Netherlands Duration: 6 Nov 2019 → 8 Nov 2019

Conference

Conference	2019 The 7th International Conference on Control, Mechatronics and Automation
Abbreviated title	ICCMA 2019
Country/Territory	Netherlands
City	Delft
Period	6/11/19 → 8/11/19

Keywords

interval approach
LMI
PWRs
robust PID controller
uncertain system
RCUK
EPSRC
EP/R021961/1
noissn

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10.1109/ICCMA46720.2019.8988755

ICCMA_SB_2019
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Accepted author manuscript (Post-print), 513 KB

Fault Tolerant Control for Increased Safety and Security of Nuclear Power Plants
Becerra, V. & Bausch, N.
Engineering and Physical Sciences Research Council
1/12/18 → 28/02/22
Project: Research

Cite this

Banerjee, S., Deng, J., Vajpayee, V., Becerra, V., Bausch, N., Shimjith, S. R., & Arul, J. (2020). LMI based robust PID controller design for PWR with bounded uncertainty using interval approach. In 2019 The 7th International Conference on Control, Mechatronics and Automation (ICCMA) Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCMA46720.2019.8988755

@inproceedings{578c5a7f8996462bac17034d63e64f92,

title = "LMI based robust PID controller design for PWR with bounded uncertainty using interval approach",

abstract = "Pressurized Water Reactors are popular in the nuclear power generation industry due to their self-regulating and self-stabilizing features which in turn help them to perform load-following operation. However, fast power maneuvering is a challenging task due to inherent nonlinearity in a reactor. It leads to changes in the behavior with variation in reactor power. Further, the heat transfers from fuel to coolant and the reactivity changes due to variation in fuel and coolant temperatures introduces uncertainty in the system. Thus, it is essential to design a robust controller for load-following operation. In this paper, the point kinetics model of PWR coupled with the Mann{\textquoteright}s thermal-hydraulic model has been considered in addition to power sensor model and actuator model. This model has been identified as an interval system with bounded parametric uncertainties in measurements (fuel and coolant). The work then formulates a methodology to design a single robust PID controller using linear matrix inequalities by varying the weighting matrices. The outcomes have been validated using MATLAB simulations and discreetly exemplified in the result section.",

keywords = "interval approach, LMI, PWRs, robust PID controller, uncertain system, RCUK, EPSRC, EP/R021961/1, noissn",

author = "Shohan Banerjee and Jiamei Deng and Vineet Vajpayee and Victor Becerra and Nils Bausch and Shimjith, {S. R.} and John Arul",

note = "No ISSN found.; 2019 The 7th International Conference on Control, Mechatronics and Automation, ICCMA 2019 ; Conference date: 06-11-2019 Through 08-11-2019",

year = "2020",

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day = "10",

doi = "10.1109/ICCMA46720.2019.8988755",

language = "English",

isbn = "978-1-7281-3788-9",

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Banerjee, S, Deng, J, Vajpayee, V, Becerra, V, Bausch, N, Shimjith, SR & Arul, J 2020, LMI based robust PID controller design for PWR with bounded uncertainty using interval approach. in 2019 The 7th International Conference on Control, Mechatronics and Automation (ICCMA). Institute of Electrical and Electronics Engineers Inc., 2019 The 7th International Conference on Control, Mechatronics and Automation, Delft, Netherlands, 6/11/19. https://doi.org/10.1109/ICCMA46720.2019.8988755

LMI based robust PID controller design for PWR with bounded uncertainty using interval approach. / Banerjee, Shohan; Deng, Jiamei ; Vajpayee, Vineet et al.
2019 The 7th International Conference on Control, Mechatronics and Automation (ICCMA). Institute of Electrical and Electronics Engineers Inc., 2020.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - LMI based robust PID controller design for PWR with bounded uncertainty using interval approach

AU - Banerjee, Shohan

AU - Deng, Jiamei

AU - Vajpayee, Vineet

AU - Becerra, Victor

AU - Bausch, Nils

AU - Shimjith, S. R.

AU - Arul, John

N1 - No ISSN found.

PY - 2020/2/10

Y1 - 2020/2/10

N2 - Pressurized Water Reactors are popular in the nuclear power generation industry due to their self-regulating and self-stabilizing features which in turn help them to perform load-following operation. However, fast power maneuvering is a challenging task due to inherent nonlinearity in a reactor. It leads to changes in the behavior with variation in reactor power. Further, the heat transfers from fuel to coolant and the reactivity changes due to variation in fuel and coolant temperatures introduces uncertainty in the system. Thus, it is essential to design a robust controller for load-following operation. In this paper, the point kinetics model of PWR coupled with the Mann’s thermal-hydraulic model has been considered in addition to power sensor model and actuator model. This model has been identified as an interval system with bounded parametric uncertainties in measurements (fuel and coolant). The work then formulates a methodology to design a single robust PID controller using linear matrix inequalities by varying the weighting matrices. The outcomes have been validated using MATLAB simulations and discreetly exemplified in the result section.

AB - Pressurized Water Reactors are popular in the nuclear power generation industry due to their self-regulating and self-stabilizing features which in turn help them to perform load-following operation. However, fast power maneuvering is a challenging task due to inherent nonlinearity in a reactor. It leads to changes in the behavior with variation in reactor power. Further, the heat transfers from fuel to coolant and the reactivity changes due to variation in fuel and coolant temperatures introduces uncertainty in the system. Thus, it is essential to design a robust controller for load-following operation. In this paper, the point kinetics model of PWR coupled with the Mann’s thermal-hydraulic model has been considered in addition to power sensor model and actuator model. This model has been identified as an interval system with bounded parametric uncertainties in measurements (fuel and coolant). The work then formulates a methodology to design a single robust PID controller using linear matrix inequalities by varying the weighting matrices. The outcomes have been validated using MATLAB simulations and discreetly exemplified in the result section.

KW - interval approach

KW - LMI

KW - PWRs

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KW - uncertain system

KW - RCUK

KW - EPSRC

KW - EP/R021961/1

KW - noissn

U2 - 10.1109/ICCMA46720.2019.8988755

DO - 10.1109/ICCMA46720.2019.8988755

M3 - Conference contribution

SN - 978-1-7281-3788-9

BT - 2019 The 7th International Conference on Control, Mechatronics and Automation (ICCMA)

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 The 7th International Conference on Control, Mechatronics and Automation

Y2 - 6 November 2019 through 8 November 2019

ER -

LMI based robust PID controller design for PWR with bounded uncertainty using interval approach

Abstract

Conference

Keywords

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Projects

Fault Tolerant Control for Increased Safety and Security of Nuclear Power Plants

Cite this