In view of the previous mathematical model of static synchronous compensator (STATCOM) with many constraint conditions, taking the internal shunt capacitance of STATCOM as the breakthrough point, using STATCOM’s impulse control angle and its advanced system voltage angle as control quantities, a new type of mathematical model of STATCOM is put forward. Using nonlinear multi objective control design concept, six tracking targets are selected. According to object holographic feedback control principle, in order to get the nonlinear control law containing all target control feedback information, the nonlinear system multi objective control problem is switched to a linear system. The design of coordination and control strategy is completed which contain salient-pole type generator excitation and STATCOM. The simulation results show that the coordination control law which is designed based on the objective holographic feedbacks can better improve the generator output characteristics, effectively inhibit the system voltage offset, and improve the transient stability of power system and the coordinated control system’s dynamic and static performances.