# Timeseries Outputs¶

Different optimal control transcriptions work in different ways. The Radau Pseudospectral transcription keeps a contiguous vector of state values at all nodes. The Gauss Lobatto transcription keeps two separate continuous vectors; one at the discretization nodes and the other at the collocation nodes. Retrieving a timeseries values of output values is thus transcription dependent.

In order to make obtaining the timeseries output of a phase easier, each phase provides a timeseries component which collects and outputs the appropriate timeseries data. For the pseudospectral transcriptions, timeseries outputs are provided at all nodes. By default, the timeseries output will include the following variables for every problem.

### Paths to timeseries outputs in Dymos¶

Path Description
<phase path>.timeseries.time Current time value
<phase path>.timeseries.time_phase Current phase elapsed time
<phase path>.timeseries.states:<x> Value of state variable named x
<phase path>.timeseries.controls:<u> Value of control variable named u
<phase path>.timeseries.control_rates:<u>_rate Time derivative of control named u
<phase path>.timeseries.control_rates:<u>_rate2 Second time derivative of control named u
<phase path>.timeseries.polynomial_controls:<p> Value of polynomial control variable named u
<phase path>.timeseries.polynomial_control_rates:<p>_rate Time derivative of polynomial control named u
<phase path>.timeseries.polynomial_control_rates:<p>_rate2 Second time derivative of polynomial control named u
<phase path>.timeseries.parameters:<d> Value of parameter named d

In addition to these default values, any output of the ODE can be added to the timeseries output using the add_timeseries_output method on Phase. These outputs are available as <phase path>.timeseries.<output name>. A glob pattern can be used with add_timeseries_output to add multiple outputs to the timeseries simultaneously. For instance, just passing '*' as the variable name will add all dynamic outputs of the ODE to the timeseries.

Dymos will ignore any ODE oututs that are not sized such that the first dimension is the same as the number of nodes in the ODE. That is, if the output variable doesn't appear to be dynamic, it will not be included in the timeseries outputs.

add_timeseries_output(self, name, output_name=None, units=None, shape=None, timeseries='timeseries')

Add a variable to the timeseries outputs of the phase.

Arguments:

name: The name(s) of the variable to be used as a timeseries output. Must be one of 'time', 'time_phase', one of the states, controls, control rates, or parameters, in the phase, or the path to an output variable in the ODE.

output_name: The name of the variable as listed in the phase timeseries outputs. By default this is the last element in name when split by dots. The user may override the constraint name if splitting the path causes name collisions.

units: The units to express the timeseries output. If None, use the units associated with the target. If provided, must be compatible with the target units. If a list of names is provided, units can be a matching list or dictionary.

shape: The shape of the timeseries output variable. This must be provided (if not scalar) since Dymos doesn't necessarily know the shape of ODE outputs until setup time.

timeseries: The name of the timeseries to which the output is being added.

## Interpolated Timeseries Outputs¶

Sometimes a user may want to interpolate the results of a phase onto a different grid. This is particularly useful in the context of tandem phases. Additional timeseries may be added to a phase using the add_timeseries method. By default all timeseries will provide times, states, controls, and parameters on the specified output grid. Adding other variables is accomplished using the timeseries argument in the add_timeseries_output method.