An included angle based nonlinearity measure for hammerstein-like systems

Based on deep investigation to the static and dynamic characteristics of Hammerstein and Wiener model structures, this paper proposes an included angle based nonlinearity measure for SISO Hammerstein-like systems. The proposed measure is instrumental for both analysis and synthesis of nonlinear systems, especially when a multilinear model controller is designed. A CSTR process is studied to illustrate the effectiveness of the proposed nonlinearity measure.