Multilinear Model Control of Hammerstein-like Systems Based on an Included Angle Dividing Method and the MLD-MPC Strategy

Abstract

This article introduces the multilinear model control approach to SISO Hammerstein-like systems. An included angle dividing method is proposed to decompose the operating spaces and determine linear model banks for SISO Hammerstein-like systems through measuring the nonlinearity of the static IO curves. On the basis of the linear model bank, the MLD-MPC strategy is employed for set-point tracking control. Two chemical processes are studied using the proposed included angle dividing method and MLD-MPC strategy. Closed-loop simulations demonstrate that the proposed dividing method is useful and effective for the multilinear model approach and the MLD-MPC strategy is excellent for nonlinear systems.