Data driven controller synthesis for negative imaginary systems

The negative imaginary (NI) property occurs in many important applications. For instance, flexible structure systems with collocated force actuators and position sensors can be modeled as negative imaginary systems. In this paper, we present a controller synthesis methodology for negative imaginary systems based on data driven controller. In this approach, a measured frequency response data of the plant is used to construct the controller frequency response at every frequency by minimizing a cost function. Then, this controller response is used to identify the controller transfer function using system identification methods.