Adaptive output feedback tracking control for bilinear systems

TL;DR

This paper develops an adaptive output feedback control strategy for bilinear systems with unmeasurable states and unknown parameters, ensuring global trajectory tracking under weaker conditions.

Contribution

It introduces a novel adaptive output feedback controller using a DREM-based observer for bilinear systems with unmeasurable states and unknown parameters.

Findings

Guaranteed global tracking under PE condition.

Designed an adaptive observer with weaker convergence requirements.

Validated on a power factor precompensator circuit.

Abstract

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.