A discrete method to solve fractional optimal control problems

By Ricardo Almeida, Delfim F. M. Torres. 2014

84 citations recorded by the source corpus.

We present a method to solve fractional optimal control problems, where the dynamic control system depends on integer order and Caputo fractional derivatives. Our approach consists in approximating the initial fractional order problem with a new one that involves integer order derivatives only. The latter problem is then discretized, by application of finite differences, and solved numerically. We illustrate the effectiveness of the procedure with an example.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e34cbc964e4aa9eaaeb183fec6e12bdc375b2ef5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints (2020, unknown): “We refer to [3, 4, 8, 32, 46] for previous numerical studies on fractional optimal control problems.”
On the fractional optimal control problems with a general derivative operator (2019, methodology): “Almeida and Torres [9] approximated the FOCP by a new integer one and used a finite difference method to solve it.”