  This paper deals with the trajectory tracking control problem for a class of
bilinear systems with unmeasurable states and unknown parameters. Firstly, a
full-information controller is suggested that guarantees global tracking under
a persistency of excitation (PE) condition on the desired trajectories. Next, a
model-based observer is designed for the system, which is further developed
into an adaptive observer through dynamic regressor and mixing (DREM) parameter
estimator. This enables global estimation under a weaker convergence condition
where the regressor is PE. The estimated states and parameters are then
replaced in the full-information controller, instead of their respective
unavailable states and parameters, to construct the output feedback controller
and its adaptive version. The proposed algorithm is applied to control lossless
power factor precompensator (PFP) circuit with an unmeasurable input current
and an unknown load conductance.
