Strategies for the Control of Heat Diffusion Systems Based on Fractional Calculus

The concept of differentiation and integration to non-integer order has its origins in the nineteen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system ba...

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Bibliographic Details
Main Author: Jesus, Isabel S. (author)
Other Authors: Barbosa, Ramiro (author), Tenreiro Machado, J. A. (author), Cunha, J. Boaventura (author)
Format: conferenceObject
Language:eng
Published: 2006
Subjects:
Online Access:http://hdl.handle.net/10400.22/13314
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/13314
Description
Summary:The concept of differentiation and integration to non-integer order has its origins in the nineteen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several control methodologies are investigated and compared, such as the adoption of a Smith predictor structure for the better control of systems with time delays. Several simulations are presented assessing the performance of the proposed fractional-order algorithms.