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H∞ control theory is applied in order to design a state feedback static controller for field oriented control of an induction motor fed by a VSI. From a theoretical point of view, H∞ control theory cannot be applied to induction motor drives because of intrinsic system nonlinearity, but a linear plant can be set up using the same assumptions that are at the basis of field oriented control. Thus, H∞ control theory can be successfully used to set up a state feedback controller for field oriented control of an induction motor. The performances of the control system are numerically analysed and experimentally verified to prove the validity of the design procedure. The results confirm that good dynamic performances and high robustness to variations of system parameters can be achieved by means of the proposed controller.

H∞ optimisation synthesis is a very important and powerful tool for designing robust controllers. The authors consider the position control of a DC drive using H∞-control theory. It is applied to the design of a position controller for a DC drive. In particular, the problem of finding an ‘optimal’ H∞ controller is considered. The validity of the design procedure and the robustness of the proposed controller are verified by means of computer simulation and experimental analysis.