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    Nonlinear control of multiple equilibrium systems and unknown sinusoidal disturbance by using backstepping technique and neural-fuzzy controller

    , Article ASME 2007 International Mechanical Engineering Congress and Exposition, IMECE 2007, 11 November 2007 through 15 November 2007 ; Volume 9 , 2007 , Pages 415-422 ; 0791843033 (ISBN) Abolfathi Nobari, N ; Alizadeh, D ; Sharif University of Technology
    American Society of Mechanical Engineers (ASME)  2007
    Abstract
    Controlling nonlinear systems have always been a challenging problem. Complexity is mostly the result of nonlinear systems behavior dependence on initial conditions and input. Linearization techniques are such kinds of nonlinear systems analysis tools, which can give suitable results in neighborhood of equilibrium points. In addition, phase portraits are very efficient for visualizing the behavior of system in equilibrium points' neighborhood. In this paper, designing a controller for a low order dynamic system with multiple equilibrium points in presence of a sinusoidal disturbance with unknown amplitude and unknown bounded frequency is investigated. The proposed controller is based on a...