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Hendel Rim
    In this paper, a novel robust adaptive type-2 fuzzy nonsingular sliding mode controller is proposed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external... more
    In this paper, a novel robust adaptive type-2 fuzzy nonsingular sliding mode controller is proposed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external disturbances. This letter is assumed to have an affine form with unknown mathematical model, the type-2 fuzzy system is used to overcome this constraint. A global nonsingular terminal sliding mode manifold is proposed to eliminate the singularity problem associated with normal terminal sliding mode control. The proposed control law can drive system tracking error to converge to zero in finite time. The adaptive type-2 fuzzy system used to model the unknown dynamic of system is adjusted on-line by adaptation law deduced from the stability analysis in Lyapunov sense. Simulation results show the good tracking performances, and the efficiently of the proposed approach.
    Research Interests:
    Control Systems Engineering, Numerical Analysis, Control Systems, Fuzzy Logic, Fuzzy Systems, Control Fuzzy Systems, Smart Home Security System using Fuzzy Logic, and 17 more
    In this paper, a novel robust adaptive type-2 fuzzy nonsingular sliding mode controller is proposed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external... more
    In this paper, a novel robust adaptive type-2 fuzzy nonsingular sliding mode controller is proposed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external disturbances. This letter is assumed to have an affine form with unknown mathematical model, the type-2 fuzzy system is used to overcome this constraint. A global nonsingular terminal sliding mode manifold is proposed to eliminate the singularity problem associated with normal terminal sliding mode control. The proposed control law can drive system tracking error to converge to zero in finite time. The adaptive type-2 fuzzy system used to model the unknown dynamic of system is adjusted on-line by adaptation law deduced from the stability analysis in Lyapunov sense. Simulation results show the good tracking performances, and the efficiently of the proposed approach.
    Research Interests:
    In this paper, a novel adaptive type-2 fuzzy sliding mode control is designed. In order to stabilize the unstable periodic orbits of uncertain perturbed chaotic system. This letter is assumed to have an affine... more
    In  this  paper,  a  novel  adaptive  type-2  fuzzy  sliding mode  control  is  designed.  In  order  to stabilize  the  unstable periodic  orbits  of  uncertain  perturbed  chaotic  system.  This letter  is  assumed  to have  an  affine  form  with  unknown mathematical  model,  the  type-2  fuzzy  system  is  used  to overcome this constraint. For sliding mode, adaptive fuzzy type 2  systems  have  been  introduced  in  order  to  generate  the switching signal to avoid both the chattering and the constraint on  the  knowledge  of  upper  bounds  disturbances  and uncertainties. These adaptive fuzzy type-2 systems are adjusted on-line by adaptation laws deduced from the stability analysis in Lyapunov sense. Simulation results show the good tracking performances by using the proposed approach.
    Research Interests:
    In this paper, by using a combination of fuzzy identification and the sliding mode control, a novel adaptive interval type-2 fuzzy sliding mode control is proposed for unknown non linear system. The AIT2FSMC system is constructing of a... more
    In this paper, by using a combination of fuzzy identification and the sliding mode control, a novel adaptive interval type-2 fuzzy sliding mode control is proposed for unknown non linear system. The AIT2FSMC system is constructing of a fuzzy control design and a hitting Control design. In the first, an interval type 2 fuzzy controller is designed to affect a feed-back linearization (FL) control law. In the second, a hitting controller is designed to compensate the approximation error between the FL control law and the interval type-2 fuzzy controller. The parameters of the interval type-2 fuzzy controller, as well as the uncertainty bound of the approximation error, are tuned adaptively. The adaptive laws are derived in the sense of Lyapunov stability theorem, thus the stability of the system can be guaranteed. Two examples illustrate the feasibility of the proposed method.
    Research Interests:
    In this paper, a novel robust adaptive type-2 fuzzy nonsingular sliding mode controller is proposed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter... more
    In  this  paper,  a  novel  robust  adaptive  type-2  fuzzy nonsingular  sliding  mode  controller  is  proposed  to stabilize  the  unstable  periodic  orbits  of  uncertain perturbed  chaotic  system  with  internal  parameter  uncertainties  and  external  disturbances.  This  letter  is  assumed  to  have  an  affine  form  with  unknown  mathematical  model,  the  type-2  fuzzy  system  is  used to  overcome  this  constraint.  A  global  nonsingular  terminal  sliding mode  manifold is  proposed to  eliminate the singularity  problem  associated  with normal terminal sliding mode control. The proposed controllaw can drive system tracking error to converge to zero  in  finite  time.  The  adaptive  type-2  fuzzy  system  used  to  model  the  unknown  dynamic  of  system  is  adjusted  on-line  by  adaptation  law  deduced  from  the stability  analysis  in  Lyapunov  sense.  Simulation  results show the good tracking performances, and the efficiently of the proposed approach.
    Research Interests:
    In this paper, a novel robust adaptive type-2 fuzzy nonsingular sliding mode controller is proposed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external... more
    In this paper, a novel robust adaptive type-2 fuzzy nonsingular sliding mode controller is proposed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external disturbances. This letter is assumed to have an affine form with unknown
    mathematical model, the type-2 fuzzy system is used to overcome this constraint. A global nonsingular  terminal sliding mode manifold is proposed to eliminate the singularity problem associated with normal terminal sliding mode control. The proposed control law can drive system tracking error to converge to zero in finite time. The adaptive type-2 fuzzy system used to model the unknown dynamic of system is
    adjusted on-line by adaptation law deduced from the stability analysis in Lyapunov sense. Simulation results show the good tracking performances, and the efficiently of the proposed approach.
    Research Interests: