Is this a problem for a Seq2Seq model?
The type of your problem is time series regression. The common way of dealing with such problems is using ARMA models and Kalman filters with input (control vector). Look at this links:

https://www.sas.upenn.edu/~fdiebold/Teaching104/Ch14_slides.pdf

https://en.m.wikipedia.org/wiki/Kalman_filter

For time series regression using LSTM, check 
Multivariate LSTM Forecast Model part from this link:

https://machinelearningmastery.com/multivariate-time-series-forecasting-lstms-keras