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Interval approach for stability analysis of a Pressurized Water Reactor with parametric uncertainty using LMI based H-infinity controller

Research output: Chapter in Book/Report/Conference proceedingConference contribution

The self-regulating and self-stabilizing natures of a Pressurized Water Reactor (PWR) make it most suitable for the nuclear power industry. However, handling the disturbance and stabilizing a PWR with the disturbance are highly challenging tasks for control engineers due to inherent nonlinearity in a reactor. It leads to a change in the behaviour with variation in reactor power. Further, plenty of uncertainties exist in a PWR due to the heat transfer from fuel to coolant and the reactivity changes due to variation in fuel and coolant temperatures. Thus, it is essential to design a robust controller which can stabilize the system in the presence of uncertainties and disturbances as well. In this paper, a state-space model has been considered using the point kinetics equations of PWR coupled with Mann’s thermal-hydraulic equations. The system matrices have been evaluated at different power levels with uncertainty in parameters to produce an interval state-space model. An H-infinity based Full State Feedback Controller (SFSC) has been designed for this interval plant and then used for establishing a stability criterion in the presence of disturbances. The outcomes have been validated using MATLAB simulations and discreetly exemplified in the result section.
Original languageEnglish
Title of host publicationProceedings of the 13th International Conference on Developments in eSystems Engineering, (DeSE 2020)
PublisherInstitute of Electrical and Electronics Engineers
Publication statusAccepted for publication - 17 Nov 2020
Event13th International Conference on Developments in eSystems Engineering - England, United Kingdom
Duration: 13 Dec 202017 Dec 2020


Conference13th International Conference on Developments in eSystems Engineering
Abbreviated titleDeSE-2020
CountryUnited Kingdom
Internet address


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