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Vector Field Guided Path Following Control: Singularity Elimination and Global Convergence (CDC20)

Simulation code and data

File name Category Description
pf_sim.slx path following Simulink file for simulation;
pf_plot.m path following Matlab file for plotting;
pf_animate.m path following Matlab file for animation;
tt_sim.slx trajectory tracking Simulink file for simulation;
tt_plot.m trajectory tracking Matlab file for plotting;
tt_animate.m trajectory tracking Matlab file for animation;

We use Simulink in Matlab R2018b, but we have not tested other versions of Simulink and Matlab.

For convenience, you could directly download the data files1 from here, and use the "plot" or "animation" Matlab files above to see the effects. The details of the data files are shown below.

Name Category Description
11_noise0pf.mat path following without white noise
11_noise10pf.mat path following with white noise (power: 10, sampling time: 0.1)
13_noise0tt.mat trajectory tracking without white noise
13_noise10tt.mat trajectory tracking with white noise (power: 10, sampling time: 0.1)

1 The reason that these files are big is we used very small fixed simulation time step to obtain accurate results. But this is actually not necessary, one can ignore these data files and instead use dynamic simulation time step, which will reduce the simulation time significantly and produce basically the same results.

Video

The video can be accessed by clicking the image below:

Extension

More details of creating singularity-free guiding vector fields in a higher-dimensional space can be found here. To see experiments with a fixed-wing UAV, Click this link: Singularity-free Guiding Vector Field for Robot Navigation

Open source code implemented in Paparazzi: Code.

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