In the second part of the book we pursue our research on development of PBC for EL systems as applied to electromechanical systems. In this chapter we restrict our attention to the practically very important class of the generalized rotating electric machines [179,285]. The main contribution is the definition of a class of machines for which the output feedback torque tracking problem can be solved with PBC. Roughly speaking, the class consists of machines whose non-actuated (rotor) dynamics is suitably damped, and whose electrical and mechanical dynamics can be partially decoupled via a coordinate transformation. Machines satisfying the latter condition are known in the electric machines literature as Blondel-Park transformable [157]. In practical terms this requires that the air-gap magneto motive force can be suitably approximated by the first harmonic in a Fourier expansion. These two conditions, stemming from the construction of the machine, have clear physical interpretations in terms of the couplings between electrical, magnetic and mechanical dynamics, and are satisfied by a large number of practical machines.
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Control and Stability of Dynamical Systems
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FuenteCommunications and control engineering/Communications and control engineering series