Smith Predictor Embedded With Fractional Algorithms for the Control of a Heat Diffusion System

2009 ◽  
Author(s):  
Isabel S. Jesus ◽  
J. Tenreiro Machado
Keyword(s):  
Fractional Calculus ◽  
Smith Predictor ◽  
Diffusion System ◽  
Heat Diffusion

In this paper we study the control of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several algorithms are investigated and compared, when integrated within a Smith predictor structure. Simulations are presented assessing the performance of the proposed fractional algorithms.

scholarly journals Fractional Control With a Smith Predictor

2011 ◽  
Vol 6 (3) ◽  
Author(s):  
Isabel S. Jesus ◽  
J. Tenreiro Machado
Keyword(s):  
Dynamical Systems ◽  
Fractional Calculus ◽  
Control Structure ◽  
Smith Predictor ◽  
Diffusion System ◽  
Heat Diffusion ◽  
Modeling And Control ◽  
Fractional Control ◽  
And Control

The advantageous use of fractional calculus (FC) in the modeling and control of many dynamical systems has been recognized. In this paper, we study the control of a heat diffusion system based on the application of the FC concepts. Several algorithms are investigated and compared, when integrated within a Smith predictor control structure. Simulations are presented assessing the performance of the proposed fractional algorithms.

scholarly journals Application of Fractional Calculus in the Control of Heat Systems

2007 ◽  
Vol 11 (9) ◽  
pp. 1086-1091 ◽  
Author(s):  
Isabel S. Jesus ◽  
◽  
J. A. Tenreiro Machado
Keyword(s):  
Fractional Calculus ◽  
Fractional Order ◽  
Pid Controller ◽  
Actuator Saturation ◽  
Diffusion System ◽  
Heat Diffusion ◽  
Performance Indices ◽  
Process Industries ◽  
And Performance ◽  
Fractional Controller

The PID controller is by far the most dominating form of feedback in use in the process industries, due to its functional simplicity and performance. In this work, we apply a generalization of the PID, namely the fractional controller PIDβ, to the heat diffusion system. For the PIDβ tuning are used four performance indices, to find the optimum controller settings by taking advantage of the fractional order β. The effect of actuator saturation and the required control energy are also analyzed.

Reduced order models for a two-dimensional heat diffusion system

2004 ◽  
Vol 77 (18) ◽  
pp. 1532-1548 ◽  
Author(s):  
Bharath Bhikkaji * ◽  
Kaushik Mahata ◽  
Torsten Söderström
Keyword(s):  
Diffusion System ◽  
Heat Diffusion ◽  
Reduced Order Models ◽  
Two Dimensional ◽  
Reduced Order

scholarly journals Some Applications of Fractional Calculus in Engineering

2010 ◽  
Vol 2010 ◽  
pp. 1-34 ◽  
Author(s):  
J. A. Tenreiro Machado ◽  
Manuel F. Silva ◽  
Ramiro S. Barbosa ◽  
Isabel S. Jesus ◽  
Cecília M. Reis ◽  
...  
Keyword(s):  
Dynamical Systems ◽  
Fractional Calculus ◽  
Differential Calculus ◽  
Digital Circuit ◽  
Heat Diffusion ◽  
Legged Robots ◽  
Circuit Synthesis ◽  
Redundant Robots ◽  
Dynamics And Control ◽  
And Control

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses FC in the study of system dynamics and control. In this perspective, this paper investigates the use of FC in the fields of controller tuning, legged robots, redundant robots, heat diffusion, and digital circuit synthesis.

scholarly journals Control of a heat diffusion system through a fractional order nonlinear algorithm

2010 ◽  
Vol 59 (5) ◽  
pp. 1687-1694 ◽  
Author(s):  
Isabel S. Jesus ◽  
J.A. Tenreiro Machado ◽  
Ramiro S. Barbosa
Keyword(s):  
Fractional Order ◽  
Diffusion System ◽  
Heat Diffusion
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