Fractional-order Calculus based Identification and Control of Linear Dynamic Systems

Author: 

Aleksei Tepljakov

Degree: 

M.Sc.

Supervisors: 

Date: 

Wednesday, June 8, 2011

Thesis language: 

English

Abstract: 

Present thesis is devoted to the research of fractional-order calculus in the context of modeling, identification and control of dynamic systems. The first part of the thesis introduces the reader to the theoretical concepts behind fractional-order calculus and its applications in system theory, system identification and control. In the second part the FOMCON (“Fractional-order Modeling and Control”) toolbox for MATLAB, developed by the author, is presented and a detailed user manual for it is provided with illustrative examples. All major calculations and simulations performed in this thesis are done in the MATLAB/Simulink environment. Additionally, some examples are performed using Maxima and Scilab computer algebra systems. It is assumed that the reader has previous knowledge in the field of system theory.

Electronic version: