Linear Parameter Varying Control Synthesis via 𝟏 Norm Constrained, Primal Dual Optimization

摘要: Pitch control of wind turbines requires nonlinear control methodologies for proper operation across the turbine’s operational envelope. Additionally, the controller is expected to satisfy multiple control objectives including power reference tracking while simultaneously constraining operational loads, and such, a state-space formulation facilitates design methodologies catering to multi-input-multi-output (MIMO) operation. Furthermore, uncertainties in model parameters and time varying parameters restrict the application of linear time invariant (LTI) control theory, however, linear parameter varying (LPV) modeling and control theory marries LTI, nonlinear, and robust control synthesis providing the foundation for a flexible and robust MIMO control architecture. In this work, we present a novel method for LPV controller synthesis for a gravo aeroelastically scaled segmented ultra-light morphing rotor–demonstrator (SUMR-D) wind turbine utilizing a constrained primal dual optimization technique.