Models and Algorithms for Optimal Piecewise-Linear Function Approximation

By Eduardo Camponogara, L. Nazari. 2015

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Piecewise-linear functions can approximate nonlinear and unknown functions for which only sample points are available. This paper presents a range of piecewise-linear models and algorithms to aid engineers to find an approximation that fits best their applications. The models include piecewise-linear functions with a fixed and maximum number of linear segments, lower and upper envelopes, strategies to ensure continuity, and a generalization of these models for stochastic functions whose data points are random variables. Derived from recursive formulations, the algorithms are applied to the approximation of the production function of gas-lifted oil wells.

Subfields: Control and Systems Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/54ed3e96d778680204bcf4696313649f332da3b0