ℋ∞-suboptimal tracking control for bilinear power systems with dynamic feedback - theory and experiment

In this contribution, a ℋ∞-controller as derived in [1] is used for the tracking of a sufficiently smooth reference trajectory. The systems under investigation are bilinear SISO power systems [2] with dynamic feedback. Two theorems are presented, when the conditions on time-varying iISS (integral input-to-state stability) and the suboptimality of the feedback control law are fulfilled along the overall error dynamics. For a Boost-Converter/DC-motor combination, a trajectory replanning strategy is devised in order to adapt online the reference trajectory using the estimated values of the disturbance from the load estimator. Experimental results on a laboratory setup support the suitability of the approach in practice.

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