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Multivariable H2 and H∞ control for a wind energy conversion system: a comparison

The Wind Energy Conversion System (WECS) is a nonlinear system, highly dependent on a stochastic variable characterized by sudden variations, and subjected to cyclicaldisturbances caused by operational phenomena. Thus, the quality of a WECS controller is measured by its capacity to deal with unmodeled dynamics, stochastic signals, andperiodic, as well as non-periodic disturbances. Since the WECS' objectives can be easily specified in terms of maximum allowable gain in the disturbance-to-output transfer functions, H2 and H∞ methodologies can be good options for designing a WECS stabilizingcontroller, combining specifications such as: disturbance attenuation, asymptotic tracking, bandwidth limitation, robust stability, and trade-off between performance and controleffort. Designs for WECS multivariable feedback controllers based on H2 and H∞ methodologies are presented in this paper. The performances of both controllers are computationally simulated, analyzed and compared in order to identify the advantages anddrawbacks of each controller design.

Wind Energy Conversion System; Control Theory; H2 and H∞ control


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