On the Optimal Control of Flow Driven Dynamic Systems

• Type: Article in International Conference Proceedings Book
• Date: 2015

Authors

Grilo, T (Author) Other; Sílvio Gama (Author) FCUP; Fernando Lobo Pereira (Author) FEUP

Conference proceedings International

Title: Mathematics of Energy and Climate Change

Pages: 183-189

International Conference and Advanced School Planet Earth

Lisboa, Portugal, March 21-28, 2013

Indexing

ISI Web of Knowledge - 0 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00J-ZQH

DOI: 10.1007/978-3-319-16121-1_7

Abstract (EN): The objective of this work is to develop a mathematical framework for the modeling, control and optimization of dynamic control systems whose state variable is driven by interacting ODE's (ordinary differential equations) and solutions of PDE's (partial differential equations). The ultimate goal is to provide a sound basis for the design and control of new advanced engineering systems arising in many important classes of applications, some of which may encompass, for example, underwater gliders and mechanical fishes. For now, the research effort has been focused in gaining insight by applying necessary conditions of optimality for shear flow driven dynamic control systems which can be easily reduced to problems with ODE dynamics. In this article we present and discuss the problem of minimum time control of a particle advected in a Couette and Poiseuille flows, and solve it by using the maximum principle.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7