You may be looking at a machine learning or neural network type of predictive analysis? Assuming so, there is a good free paper on this at https://www.sciencedirect.com/science/article/pii/0167691189900315

You may also want to redesign this as a nonlinear model using a programming method in R or maybe a math programming model like integer or goal programming using Tableau oemr Excel, see ideas in

Strang, K.D. (2013). Planning for hurricane Isaac using probability theory in a linear programming model. International Journal of Risk and Contingency Management, 2(1), 51-65. IGI

Strang, K.D. (2013). Risk management research design ideologies, strategies, methods and techniques. International Journal of Risk and Contingency Management, 2(2), 1-26. IGI

Strang, K.D. (2013, January 8).Examples of how to research & share crisis management knowledge. International Disaster Research Conference, New Orleans. IDCE

Strang, K.D. (2012). Logistic planning with nonlinear goal programming models in spreadsheets. International Journal of Logistics, 2(4), 1-24. IGI

Strang, K.D. (2012). Man versus math: Behaviorist exploration of post-crisis non-banking asset management. Journal of Asset Management, 13(5), 348-367. Palgrave

Strang, K.D. (2012). Applied financial nonlinear programming models for decision making. International Journal of Applied Decision Sciences, 5(4), 52-69. Inderscience

Feedback linearization is a powerful techniques for analysis and design of nonlinear systems. The central idea of this approach is to algebraically transform the nonlinear system dynamics into a fully or partially linearized system so that the feedback control techniques could be applied. In the study of dynamical systems, linearization is a method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems. This method is used in fields such as engineering, physics, economics, and ecology.

https://www.sciencedirect.com/topics/engineering/feedback-linearization

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

Check https://www.lehigh.edu/~eus204/teaching/ME450_NSC/lectures/lecture06.pdf

Using control authority to transform nonlinear models into linear ones is called Feedback Linearization and it looks the same with system linearization with feedback.