Systems and methods are provided for controlling the simulation of a coupled hybrid dynamic system. A physical test rig configured to drive the physical structure component of the system and to generate a test rig response as a result of applying a test rig drive signal. A processor is configured with a virtual model of a complementary system to the physical structure component. The processor receives the test rig response and generates a response of the complementary system based on a received test rig response. The system can be driven with a random input. The processor compares the test rig response with the response of the complementary system, the difference being used to form a system dynamic response model.