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This paper deals with the trajectory tracking control problem for a class ofbilinear systems with unmeasurable states and unknown parameters. Firstly, afull-information controller is suggested that guarantees global tracking undera persistency of excitation (PE) condition on the desired trajectories. Next, amodel-based observer is designed for the system, which is further developedinto an adaptive observer through dynamic regressor and mixing (DREM) parameterestimator. This enables global estimation under a weaker convergence conditionwhere the regressor is PE. The estimated states and parameters are thenreplaced in the full-information controller, instead of their respectiveunavailable states and parameters, to construct the output feedback controllerand its adaptive version. The proposed algorithm is applied to control losslesspower factor precompensator (PFP) circuit with an unmeasurable input currentand an unknown load conductance.

Adaptive output feedback tracking control for bilinear systems