Applications

Robotics

Robotic fish

Shape–control co-design

We apply multidisciplinary control co-design to eel-inspired soft robotic fish. Flexible-body motion couples actuation, structure, and hydrodynamics, making it difficult to predict how a shape change will affect swimming efficiency without a coupled model.

Updating the model with actuator measurements

The control co-design study optimizes shape and actuation, then uses measurements from a manufactured actuator to recalibrate the structural model. Re-optimization predicts lower energy cost than the control-optimized baseline at the prescribed higher speed; the swimming improvements are simulated, while the actuator calibration uses experimental data.

Paper: Fletcher et al. [1]

Resolving structural dynamics

A complementary study compares dynamic hydroelastic optimization with an approach using a static structural model. Similar design trends but different optimized dimensions show why structural-model fidelity matters when interpreting the predicted swimmer design.

Paper: Fletcher et al. [2]

Optimization of the eel-inspired robotic fish couples structural, hydrodynamic, and control models to reduce cost of transport. [1]
A curved blue soft-robot body with a yellow beam centerline and red mesh nodes.
Dynamic robot geometry computed from dynamic beam states, with the deformed beam mesh overlaid. [1] Fig. 5Watch on LSDO Lab YouTube
A labeled underwater soft robot prototype and a diagram of its red and blue bidirectional actuator chambers.
Baseline modular eel-inspired soft robot and bidirectional fluidic elastomer actuator module. [2] Fig. 1

Optimization problem

Optimization formulation
CaseEel-inspired swimmer: shape and actuation co-design
ObjectiveMinimize cost of transport, defined in this study as input power divided by swimming speed.
Design variables7 variables: actuation frequency (0.5–2 Hz), pump pressure (5–37.5 kPa), four body-width shape variables, and body height (4–13.35 cm).
ConstraintsZero net force at a prescribed swimming speed of 0.66 body lengths per second, with bounds on shape and actuation variables.
Models and conditionsDynamic beam deformation and geometry, unsteady panel hydrodynamics, a boundary-layer model, and prescribed wake; nonlinear finite-element analysis supports the structural/actuator formulation.
Representative sourceMultidisciplinary Control Co-Design Optimization of Anguilliform-Swimming Soft Fluidic Robots
Source locatorSection IV and Table 1, page 7.

References

  1. Andrew Fletcher, Ru Xiang, Luca Scotzniovsky, Jacobo Cervera-Torralba, Michael T. Tolley, John T. Hwang. Multidisciplinary Control Co-Design Optimization of Anguilliform-Swimming Soft Fluidic Robots. IEEE International Conference on Soft Robotics (RoboSoft), 2025, 2025.
    PDF
  2. Andrew H. Fletcher, Ru Xiang, Jacobo Cervera-Torralba, Michael T. Tolley, John T. Hwang. Multidisciplinary Design Optimization of an Eel-Inspired Soft Robot. AIAA SciTech 2025 Forum; AIAA 2025-1751, 2025.
    PDF

Research connections

Related to Robotic fish