Robust Switched Control Design for Nonlinear Systems Using Fuzzy Models | Zendy

Wallysonn Alves de Souza | Zendy; Marcelo Carvalho Minhoto Teixeira | Zendy; Máira Peres Alves Santim | Zendy; Rodrigo Cardim | Zendy; Edvaldo Assunção | Zendy

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Robust Switched Control Design for Nonlinear Systems Using Fuzzy Models

Author(s) -

Wallysonn Alves de Souza,

Marcelo Carvalho Minhoto Teixeira,

Máira Peres Alves Santim,

Rodrigo Cardim,

Edvaldo Assunção

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 - 10.1155/2014/721537

Subject(s) - control theory (sociology) , lyapunov function , nonlinear system , fuzzy logic , mathematics , fuzzy control system , quadratic equation , controller (irrigation) , control (management) , mathematical optimization , computer science , physics , geometry , quantum mechanics , artificial intelligence , agronomy , biology

The paper proposes a new switched control design method for some classes of uncertain nonlinear plants described by Takagi-Sugeno fuzzy models. This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs). The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function. The proposed methodology eliminates the need to find the membership function expressions to implement the control laws. The control designs of a ball-and-beam system and of a magnetic levitator illustrate the procedure

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