Robust LPV Control for Wind Turbines

Thumbnail Image

Persistent link to this item

View Statistics

Journal Title

Journal ISSN

Volume Title


Robust LPV Control for Wind Turbines

Published Date




Thesis or Dissertation


This thesis proposes a uniform multi-input, multi-output (MIMO) control framework for wind turbines using the robust linear parameter varying (LPV) design method. This framework is built on an LPV model of the wind turbine, which has a parametric dependence on the trim wind speed. It takes multiple objectives in different wind conditions into a systematic consideration. Therefore, existing results based on single-input, single-output (SISO) linear control design can be integrated together with stability and performance guarantees. The proposed design has a uniform structure that covers turbine operations in all wind conditions and provides better load reduction performance than the baseline controller. This MIMO control architecture can also be extended for active power control (APC) purposes. Therefore, the wind turbine is capable of providing ancillary services to maintain reliability of power grids. The control design in this thesis takes a robust LPV approach. Specifically, this thesis proposes a robust synthesis algorithm for LPV systems using the theory on integral quadratic constraints (IQCs). This algorithm is a coordinate-wise descent similar to the well-known DK iteration for $\mu$ synthesis. It alternates between an LPV synthesis step and an IQC analysis step. Both steps can be efficiently solved as semidefinite programs. It is shown that the proposed algorithm ensures that the robust performance is non-increasing at each iteration step. Therefore, this algorithm is used in this thesis to synthesize a robust LPV controller for wind turbines to provide APC. Robust performance of this controller has been verified using high fidelity simulations. Applications of this method will be various and not limited to wind turbines.


University of Minnesota Ph.D. dissertation.July 2016. Major: Mechanical Engineering. Advisor: Peter Seiler. 1 computer file (PDF); x, 115 pages.

Related to




Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Suggested citation

Wang, Shu. (2016). Robust LPV Control for Wind Turbines. Retrieved from the University Digital Conservancy,

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.