Abstract:This paper presents a new binomial control modeling for loop shaping dynamic systems in time domain directly, which consists of a nominal model and a loop shaping deviation. The nominal model is based on the combination of the system’s dynamics and control performance requirements, ranther than only on the dynamic mechanism. The loop shaping deviation represents the action differences between the real system and the nominal model, including unmodeled dynamics, internal loop shaping, and external disturbances. The feedforward, feedback, and the loop shaping deviation are introduced into the binomil model, resulting in a two-degree-of-freedom controller architecture. The performance requirements are governed by the feedforward, while loop shaping deviation is actively balanced by the feedback. Some simulations show that satisfactory performance can be obtained using this new loop shaping method for integrating processes, non-minimum-phase systems.