Deformation Control and Thrust Analysis of a Flexible Fishtail With Muscle-Like Actuation

In nature, fish have evolved sophisticated muscular systems that enable them to dynamically regulate their body movements for efficient and agile swimming, which has inspired the development of compact and fast flexibility regulation mechanisms in robotic fish. While existing robotic fish have primarily relied on passive flexible mechanisms and tunable stiffness mechanisms, these approaches often lack the dynamic adjustment capabilities that are characteristic of living fish. This article proposes a novel biomimetic flexible fishtail capable of dynamically controlling its deformation through artificial muscles made from macrofiber composite. In detail, the fishtail is equipped with a servo motor as the sole driving joint, while the artificial muscles regulate the deformation to indirectly adjust stiffness. A dynamic model considering both flexibility and hydrodynamics is established, and a partial differential equation observer is particularly developed to estimate the tail's full states. Subsequently, a deformation control framework incorporating a deep reinforcement learning strategy is constructed and successfully deployed on an embedded platform via lightweight design. Simulation and experimental results validate the accuracy and effectiveness of the dynamic model, observer, and control strategy. Especially, the proposed fishtail demonstrates the ability to enhance propulsion in fishlike swimming modes across various frequencies, ranging from 15% to 203%. When assembled into an untethered robotic prototype, deformation control allows the prototype's swimming speed to vary, achieving up to 42% slower or 37% faster speeds compared to passive compliance. Its rapid adjustability and adaptability to different frequencies represent significant advancements not widely reported in previous studies. The obtained results will offer some significant insights for flexible robotic systems to enhance their agility and interactivity.