Feedback stabilisation of a one-dimensional nonlinear pool-boiling system

A nonlinear heat-transfer model for pool-boiling systems is considered. The model involves only the temperature distribution within the heater and models the heat exchange with the boiling medium via a nonlinear boundary condition imposed at the fluid-heater interface. This compact model is employed for the design and analysis of a control strategy for the stabilisation of unstable states. Therefore, a state-feedback controller is implemented that regulates the heat supply as a function of the system’s internal state. Simulations of the nonlinear closed-loop system propose the state-feedback controller as a viable option for the rapid stabilisation and regulation of pool-boiling systems.