Instantaneuos Cost Mapping

A least-squares system identification of the polynomial basis for a first-order dynamic system.

This function performs a least-squares system identification of the polynomial basis for a first-order dynamic system .
This script finds the set of polynomial coefficients "c" that result in the least squared-error between the predicted system response y_bar and the series of measurements y_meas.
This work is an extension of
Jessica C. Selinger and J. Maxwell Donelan. "Estimating instantaneous energetic cost during non-steady-state gait." Journal of Applied Physiology 117.11 (2014): 1406-1415.
The formulation and application of this work is presented in a forthcoming manuscript.

This function is used in
“Body-in-the-Loop”: Optimizing Parameters using Measures of Instantaneous Energetic Cost
Submitted PLOS ONE, July 2015.
Wyatt Felt, Jessica C. Selinger, J. Maxwell Donelan, C. David Remy.

and in

"BODY-IN-THE-LOOP OPTIMIZATION FOR THE SELECTION OF PROSTHETIC CONTROL
PARAMETERS – A PILOT STUDY"
Wyatt Felt, Emily S. Gardinier, Jeffrey Wensman, Deanna H. Gates, C. David Remy.
2015 Annual Meeting of the American Society of Biomechanics.