Model predictive control of a wind turbine based on linear parameter-varying models

Wind turbine control based on a modified model predictive control scheme for linear parameter‐varying systems

“…It is worth to mention that the conservatism associated with the MPC‐LPVa scheme can be reduced for the LPV representation (11a) and (11b), see [16], however, that can be performed based on ad‐hoc formulation without general systematic methods or approaches. Remark 2 The main control objective in the above simulations is to allow the wind turbine to extract the rated power from the wind according to the region of operation, such control objective is translated into a set of values for according to the value of the wind speed, which can be achieved in terms of tracking a proper value for .…”

“…[2], and scheduled MPC, e.g. [16]. For the first one, the design is based on a linearised model of the wind turbine and the associated MPC algorithm requires the least computational burden among the others; however, it is difficult to achieve good performance and guarantee stability based on a single linearised model.…”

“…[23], have been extended to design MPC‐LPV controllers for non‐linear/time‐varying systems with stability and performance guarantees over a wide pre‐specified range of operation. The MPC‐LPV control approach seems the most appropriate candidate for wind turbine control as it can accommodate the time‐varying nature of the system associated with the variation of the wind speed [16] and it can handle the system constraints with stability and performance guarantees. In [24], an MPC based on an LPV model of a wind turbine has been considered to control the system over RII only, which cannot fully describe the wind turbine dynamics, especially, during the transition between RI and RII.…”

“…Most of MPC‐LPV schemes for wind turbine control are based on LPV representations with affine parameter dependence, e.g. in [16, 20], which can overbound the LPV parameter range and consequently increase the conservatism of the design as some parameter variation in the range cannot be attained in practise.…”