Journal
NONLINEAR DYNAMICS
Volume 54, Issue 3, Pages 263-282Publisher
SPRINGER
DOI: 10.1007/s11071-007-9322-2
Keywords
PID tuning; fractional calculus; fractional-order systems; ISE and ITSE optimization
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The concept of differentiation and integration to non-integer order has its origins in the seventeen 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. Simulations are presented assessing the performance of the proposed fractional-order algorithms.
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