Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems | Zendy

Dušan Krokavec | Zendy; Anna Filasová | Zendy

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Stabilizing Fuzzy Output Control for a Class of Nonlinear Systems

Author(s) -

Dušan Krokavec,

Anna Filasová

Publication year - 2013

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2013/294971

Subject(s) - control theory (sociology) , nonlinear system , affine transformation , class (philosophy) , controller (irrigation) , fuzzy logic , scheme (mathematics) , fuzzy control system , stability (learning theory) , computer science , linear matrix inequality , lyapunov function , matrix (chemical analysis) , mathematics , control (management) , mathematical optimization , artificial intelligence , mathematical analysis , physics , materials science , quantum mechanics , machine learning , pure mathematics , agronomy , composite material , biology

The paper presents new conditions suitable in design of a stabilizing output controller for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. Taking into account the affine properties of the TS model structure and applying the fuzzy control scheme relating to the parallel distributed output compensators, the sufficient design conditions are outlined in terms of linear matrix inequalities. The proposed procedure decouples the Lyapunov matrix and the system parameter matrices in the LMIs and guarantees global stability of the system. Simulation result illustrates the design procedure and demonstrates the performances of the proposed design method

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