Output Feedback Tracking Control for a Class of Bilinear Systems: Application to Power Electronics Devices

This letter studies the design of state and output feedback control for a class of bilinear systems aimed at achieving global exponential tracking of (admissible, differentiable) time-varying trajectories. We demonstrate that a persistency of excitation (PE) assumption on the desired trajectories is sufficient to achieve the control objective via a simple state feedback proportional (P) controller. The controller, in conjunction with a globally stable Kalman-like observer, is further developed into a certainty-equivalent output feedback version, maintaining stability under a detectability condition that depends on the behavior of the desired control effort. The proposed algorithm is applied to control a lossless single-phase grid-connected PV inverter with an unmeasurable output current.