Optimal direct data-driven control with stability guarantees. (May 2021)

• Record Type: Journal Article
• Authors: Selvi, Daniela; Piga, Dario; Battistelli, Giorgio; Bemporad, Alberto
• Is Part Of: European journal of control. Volume 59(2021)
• Page Start: 175
• Page End: 187
• Publication Date: 2021-05
• Subjects: Model-free control design -- Data-driven control -- Optimal control; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2020.09.005
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: For model-free optimal control design, this paper proposes an approach based on optimizing the reference model that is used in direct data-driven controller synthesis. Optimality is defined with respect to suitable cost functions reflecting desired performance and control objectives. We rely on the well-known Virtual Reference Feedback Tuning technique and on a direct control design approach that ensures stability of the resulting closed-loop system. The proposed design method leads to a non-convex optimization problem with a small number of variables that can be easily solved by a global optimizer, such as by particle swarm optimization. The effectiveness of the proposed solution is illustrated in simulation examples.