Direct design from data of LPV feedback controllers

In the paper, an approach for the direct design of LPV controllers from data is proposed. The approach overcomes some relevant problems typical of the standard design methods, such as model uncertainty and complex control design and/or implementation. After a preliminary closed-loop stability analysis, a relaxed algorithm for direct control design from data is presented. The resulting controller is able to provide closed-loop stability when the number of data used for design is large. Moreover, the controller is sparse, allowing an efficient implementation on real-time processors, and is almost-optimal in terms of tracking error precision. A numerical example, regarding control of the Duffing oscillator, is presented to show the effectiveness of the proposed approach.