Controller Synthesis of an Energy Generation System Under State and Input Constraints

This paper deals with state feedback control synthesis for a boiler-turbine system using a set invariance property and a piecewise affine modelling procedure. The nonlinear model of the considered system is linearized around different equilibrium points. After that, the obtained piecewise affine model is exploited to design feedback gains that guarantee compliance with state and control constraints, as well as asymptotic stability of the closed-loop system. The feedback gains are computed by solving a linear programming problem, which can be achieved by numerous effective solvers. Finally, the validity and efficacy of the proposed approach are demonstrated through a numerical example.