Fixed-Dynamics Antiwindup Design: Application to Pitch-Limited Position Control of Multirotor Unmanned Aerial Vehicles

• Published in: IEEE transactions on control systems technology 2021-11, Vol.29 (6), p.2654-2661
• Main Authors: Ghignoni, Pietro, Invernizzi, Davide, Lovera, Marco
• Format: Article
• Language: English
• Subjects: Antiwindup (AW) synthesis; Closed loop systems; Linear matrix inequalities; linear matrix inequality (LMI); multirotor; Pitch (inclination); Position control; sector condition; Stability criteria; Synthesis; Unmanned aerial vehicles; unmanned aerial vehicles (UAVs)
• ISSN: 1063-6536; 1558-0865
• DOI: 10.1109/TCST.2020.3042073

In this brief, we present and validate an antiwindup (AW) control design suitable to deal with saturated discrete-time linear plants. Following the modern approach to AW design, the proposed synthesis procedure is based on the compensator paradigm in which the AW controller acts on top of a baseline one, tuned to achieve desirable performance in the unsaturated regime. After extending existing ideas for continuous-time plants to their discrete-time counterparts, the design of the AW compensator is carried out with a focus on computational efficiency and optimized performance in practical operating scenarios. The proposed approach allows one to design fixed-dynamics AW compensators for possibly open-loop unstable plants using generalized sector conditions. Then, the synthesis procedure is applied to tune a fixed-dynamics compensator having the structure of a static compensator cascaded with a unit delay to avoid algebraic loops. Finally, the benefits of such AW augmentation are assessed experimentally to counteract windup effects arising in the position control of multirotor unmanned aerial vehicles (UAVs) when pitch limitations are imposed.