Nonlinear adaptive control law design using TSMC for nuclear reactor in load following operation

Hamza Boubacar  Kirgni; Abdou Salam Bako  Yahaya; Abdoul Razak Lasseini Gonga  Yahaya; Ayouba Moussa  Hassane

Hamza Boubacar Kirgni High Authority of Niger Atomic Energy (HANEA), Niger
Abdou Salam Bako Yahaya High Authority of Niger Atomic Energy (HANEA), Niger
Abdoul Razak Lasseini Gonga Yahaya High Authority of Niger Atomic Energy (HANEA), Niger
Ayouba Moussa Hassane High Authority of Niger Atomic Energy (HANEA), Niger

Keywords: Feedback linearization, TSMC, Load-following, Power level

Abstract

The load-following process plays a crucial role within nuclear reactors. However, various factors, including uncertainties, can lead to performance degradation in these reactors. To address this, we propose a novel approach using nonlinear adaptive-based terminal sliding mode control (TSMC). To that purpose, the reactor nonlinear model is transformed to normal form using the feedback linearization technique. Based on that model and using the backstepping approach, a nonlinear nominal control law is constructed, which is then mounted with the adaptive discontinuous control law designed by TSMC. Then, a control law for the entire closed-loop system is developed to offer not only local asymptotic stability, but also resilience against uncertainty. A nonlinear terminal integral sliding surface is defined to solve the problem of SMC singularity. The system's stability was investigated using Lyapunov synthesis. To test the performance of the designed control law, numerical simulations are performed. The simulation results demonstrate that the designed control rule permits load-following control in addition to being insensitive to uncertainty.

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