Predictive Control of Hammerstein-Wiener Nonlinearity Based on Polytopic Terminal Region
基于多面体终端域的Hammerstein-Wiener非线性预测控制

Many actual systems are often represented as the Hammerstein-Wiener nonlinear models, where a linear dynamic subsystem is surrounded by two static nonlinear subsystems at its input and output. For Hammerstein-Wiener nonlinear systems with the input and output constraints, a predictive control synthesis algorithm based on polytopic terminal region is proposed. At the offline stage, by constructing a series of the polytopic invariant sets, the terminal region is enlarged; in the polytopic invariant set, the nonlinear controller is designed, then the conservation of conventional linear control law design is reduced. At the online stage, by solving a finite number of linear matrix inequality optimization problems, not only the real-time demand can be satisfied, but also the control performance can be improved. Simulation results show the advantages of adopting polyhedron invariant set.