Control of servo-hydraulic systems inspired by planet formation physics

This paper focuses on the design of a pioneering control method using Planet Formation realistic mechanical dynamics for controlling servo-hydraulic systems. We here provide a multifaceted study that includes: (1) the design of a new controller based on information related to four physical laws found in the Planet Formation phenomenon: gravity inside and outside protoplanets, drag force inside the protoplanets, and the accretion of matter around the protoplanet; (2) investigation of the necessary conditions to ensure stability of servo-hydraulic systems; (3) numerical tests under linear and nonlinear regimes. Results highlight the ability of this astrophysical-inspired controller to track various step trajectories, including under disturbances due to unmodeled frictions, ensuring a significant performance improvements over the PID and Sliding Mode controllers using four optimization criteria focused on energy minimization. Improvements up to 77.8% and 49.8% were found compared to PID and Sliding Mode controllers, respectively, for desired performance requirements. Such control approach holds great potential to open new impacting research directions towards the emerging of a new line of highly sophisticated astrophysical-inspired controllers, which can be easily adapted to a wide range of other servo-mechanical systems.