State-Feedback Control for Fractional-Order Nonlinear Systems Subject to Input Saturation | Zendy

Junhai Luo | Zendy

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State-Feedback Control for Fractional-Order Nonlinear Systems Subject to Input Saturation

Author(s) -

Junhai Luo

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/891639

Subject(s) - control theory (sociology) , nonlinear system , mathematics , lemma (botany) , bounded function , saturation (graph theory) , state (computer science) , controller (irrigation) , stability (learning theory) , control (management) , computer science , mathematical analysis , algorithm , physics , poaceae , quantum mechanics , combinatorics , artificial intelligence , machine learning , agronomy , biology , ecology

We give a state-feedback control method for fractional-order nonlinear systems subject to input saturation. First, a sufficient condition is derived for the asymptotical stability of a class of fractional-order nonlinear systems. Then based on Gronwall-Bellman lemma and a sector bounded condition of the saturation function, a linear state-feed back controller is designed. Finally, two simulation examples are presented to show the validity of the proposed method

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