Doubly Fed Induction Generators by Edgar N. Sanchez and Riemann Ruiz-Cruz

Author:Edgar N. Sanchez and Riemann Ruiz-Cruz
Language: eng
Format: epub
Publisher: CRC Press

(4.38)

where .

Evaluating (4.38) at (k + 1), the equivalent control is calculated as [80]

(4.39)

The matrix gx2 is a constant diagonal matrix ; its determinant is not zero for ∀k ∈ ℤ+ ∪ 0. Then the gx2 inverse always exists.

Applying to (4.37), the state of the closed-loop system reaches the sliding manifold sg(k) = 0 in one sample time. However, it is appropriate to add to the control signal a stabilizing term in order to reach the sliding surface asymptotically and to avoid high gain control; hence, the is determined as

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