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This paper is devoted to robust control of induction motors in electric drives and servo-systems. By using the arbitrary reference frame, we develop completely featured nonlinear mathematical models and explore an uncertain modeling framework. The main goal is to design robust feedback controllers to guarantee the robust tracking and to ensure the stability of nonlinear electromechanical systems with control bounds and parameter uncertainties. An innovative design methodology is proposed. The developed robust procedure is straightforward and computationally efficient. Bounds and uncertainties are taken into account, and the robust framework is explored in detail. The developed methodology is applied to control a high-precision servo-system actuated by a two-phase squirrel-cage motor. A constrained robust controller is synthesized and verified. The designed control law does not have drawbacks in implementation because unmeasured states (rotor currents or fluxes) are not mapped. The desired dynamic performance, robustness to parameter uncertainties and precise positioning of the resulting closed-loop system are achieved by utilizing the offered nonlinear feedback mapping.
Lyashevskiy et al. (Wed,) studied this question.