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Published in:
2023 | OriginalPaper | Chapter
1. Introduction: Optimal Control Problems
Authors : Onésimo Hernández-Lerma, Leonardo R. Laura-Guarachi, Saul Mendoza-Palacios, David González-Sánchez
Published in: An Introduction to Optimal Control Theory
Publisher: Springer International Publishing
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Abstract
In a few words, in an optimal control problem (OCP) we are given a dynamical system that is “controllable” in the sense that its behavior depends on some parameters or components that we can choose within certain ranges. These components are called control actions. When we look at these control actions throught the whole period of time in which the system is functioning, then they form control policies or strategies. On the other hand, we are also given an objective function or performance index that somehow measures the system’s response to each control policy. The OCP is then to find a control policy that optimizes the given objective function.