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A State Feedback Control Design for Generalized Fractional Systems Through Orthogonal Functions: Application to a Fractional Inverted Pendulum
Author(s) -
Bouafoura Mohamed Karim,
Braiek Naceur Benhadj
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.672
Subject(s) - inverted pendulum , control theory (sociology) , benchmark (surveying) , piecewise , fractional calculus , controller (irrigation) , mathematics , state (computer science) , stability (learning theory) , orthogonal functions , double pendulum , full state feedback , control (management) , computer science , nonlinear system , mathematical analysis , algorithm , physics , geodesy , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , geography
This paper deals with the control of non commensurate fractional order systems by means of the state feedback strategy. Piecewise orthogonal functions with their generalized operational matrices, rigourously developed according to the R iemann‐ L iouville formula are utilized to discover the controller's gains. The way that the control law is deduced permits guaranteed stability for this particular system's class while ensuring the desired performance. Effectiveness of the method is checked through an inverted fractional pendulum benchmark.