Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems | Zendy

Junhai Luo | Zendy; Heng Liu | Zendy

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Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems

Author(s) -

Junhai Luo,

Heng Liu

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/541918

Subject(s) - control theory (sociology) , multivariable calculus , nonlinear system , integer (computer science) , stability (learning theory) , lyapunov stability , sliding mode control , fuzzy logic , mathematics , computer science , mode (computer interface) , class (philosophy) , lyapunov function , order (exchange) , adaptive control , mathematical optimization , control (management) , control engineering , artificial intelligence , engineering , physics , finance , quantum mechanics , machine learning , economics , programming language , operating system

This paper presents a robust adaptive fuzzy sliding mode control method for a class of uncertain nonlinear systems. The fractional order calculus is employed in the parameter updating stage. The underlying stability analysis as well as parameter update law design is carried out by Lyapunov based technique. In the simulation, two examples including a comparison with the traditional integer order counterpart are given to show the effectiveness of the proposed method. The main contribution of this paper consists in the control performance is better for the fractional order updating law than that of traditional integer order

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