Abstract

SummaryA variable structure model‐reference adaptive control (VS‐MRAC) of impedances and admittances (driving‐point (DP) functions) is proposed. Only voltage and current measurements are required to implement the controllers. The inclusion of a prefilter in the reference model allows the synthesis of quite general DP functions, even with nonminimum phase zeros and unstable poles. It is shown that the stability of the closed‐loop system depends only on the source DP function and the chosen reference model. The VS‐MRAC guarantees global exponential stability properties, robustness to parameter uncertainties, disturbances, and unmodelled dynamics. Simulation results illustrate the performance and robustness of the VS‐MRAC. Copyright © 2016 John Wiley & Sons, Ltd.

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