LQR-based adaptive TSMC for nuclear reactor in load following operation

Abstract

This paper concerns with the design of LQR-based adaptive terminal sliding-mode control (TSMC) for nuclear reactor in load following operation. For this purpose, the reactor nonlinear model is firstly converted into linear parameter varying (LPV) system. Then, based on this model a referenced control law is designed by integrating the LQR-based control with the TSMC. In order to obtain high precision control as well as convergence in finite time a nonlinear sliding surface is defined. Afterwards, a control law is derived to ensure the global asymptotic stability of the whole system. Numerical simulations are performed. Furthermore, the developed control law is compared against an LQR-based and PID control laws. It results that the derived control law not only offers remarkable performance to the system in load following operation in the presence of varying uncertainties but also performs better than the foresaid control laws.