Receding Galerkin Optimal Control with High-Order Sliding Mode Disturbance Observer for a Boiler-Turbine Unit

The control of the boiler-turbine unit is important for its sustainable and robust operation in power plants, which faces great challenges due to unit’s serious nonlinearity, unmeasurable states, variable constraints, unknown time-varying lumped disturbances. To address above issues, this paper proposes a receding Galerkin optimal controller with high-order sliding mode disturbance observer composite scheme, first employed estimate disturbances based on deviation form mathematical model unit. Subsequently, under hypothesis state constraint, designed compensate by embedding their estimates into mathematically predictive at each sampling time instant. With help an interpolation polynomial, Gauss integration, nonlinear solvers, law then obtained optimization algorithm. Consequently, rejection, target tracking, constraint handling performance controlled closed-loop system are improved. Some simulation cases conducted demonstrate effectiveness proposed method, supported quantitative result analysis, such as tracking rejection indexes.