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Minimum Jerk

View Model and code for a minimum-jerk controller on File Exchange Open in MATLAB Online

Gitpod

This example shows how to model systems with Simulink to then generate C/C++ code out of it that can be conveniently interfaced with YARP.

Here's below a picture of the model whose code we want to obtain.

Briefly, we have a simple scheme of a well known Reference Model Control approach where the plant is supposed to be a pure integrator but in reality it's not.

Therefore, if we run the simulation with the parameter's value CompensatorState.Off, we get the following responses.

Clearly, the plant output (red) does not follow the desired trajectory (green) accurately enough when the system is provided with the stepwise input (blue).

To tackle the unknown discrepancies, a PI compensator can be designed, which is constantly fed by the error between the response of the actual plant and the response of the reference plant (i.e. the pure integrator in this case).

If we enable the compensator by setting the parameter's value equal to CompensatorState.On, we get the nicer tracking visible below.

Finally, a third possibility is also given corresponding to the parameter's value equal to CompensatorState.Auto. In this case the PI compensator will automatically switch on/off according to some internal thresholds the user can have access to.

Once done with the simulation, the model can be compiled through the Simulink Coder to generate the equivalent C++ code already available in auto_src directory.

The auto-generated code has a clear interface composed of input and output structures and variables so as the structure and variable devoted for the handling of the parameters. It's thus straightforward to integrate it in a YARP project to control in velocity a joint of the simulator (which should behave like an integrator).

The scope.xml file can be used along with the yarpscope tool in order to visualize the behavior of the overall system.