Static output feedback [formula omitted]based integral sliding mode control law design for nuclear reactor power-level

Abstract

This paper is concerned with the design of output feedback H∞ based integral sliding mode (ISM) control law. The control design strategy presented in this paper incorporates robust H∞ control design into sliding mode control (SMC). The design of the control law is achieved by first transforming the nonlinear model of the reactor into a linear parameter varying (LPV) model, from which a polytopic model is then derived. The control law is given into two parts, nominal and discontinuous control laws. The nominal control law is designed using H∞ control approach to achieve nominal system performance, while the discontinuous control law is designed by SMC to suppress the negative influence of uncertainties. The control law thus designed not only stabilizes the system but provides a robust performance to the system and efficiently follows the reference signal in the presence of both disturbances and uncertainties. Numerical simulations have been carried out. The designed control law was compared to PID-like, H∞ and SMC controllers in order to demonstrate its effectiveness and robustness.