This paper presents an adaptive nonlinear position controller with velocity constraint, capable of combining the input-output linearization technique and Lyapunov stability theory. Based on the Lyapunov stability theory, the adaptation law of the proposed controller is derived along with the verification of the overall system’s stability. Computer simulation results demonstrate that the propose...

This paper considers the position tracking problem of a magnetic levitation system in the presence of uncertainties of physical parameters. The dynamic surface control (DSC) technique is modified and applied to the system under study, to overcome the problem of “explosion of terms” associated with the backstepping design procedure. Input-to-state stability (ISS) property is ensured by the robus...

This paper deals with the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The mentioned method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. At first, a nonlinear recursive active backstepping control vector is designed such that state variables of the hyperchaotic Wang s...

In this paper, we propose a sensorless backstepping control of induction motor (IM) associated with three levels neutral clamped (NPC) inverter. First, the backstepping approach is designed to steer the flux and speed variables to theirs references and to compensate the uncertainties. A Lyapunov theory is used and it demonstrates that the dynamic trajectories tracking are asymptotically stable....

In this paper, an adaptive backstepping control system with a fuzzy integral action is proposed to control the mover position of a linear induction motor (LIM) drive. First, the indirect field oriented control LIM is derived. Then, an integral backstepping design for indirect field oriented control of LIM is proposed to compensate the uncertainties which occur in the control. Finally, the adapt...

In this paper, Backstepping method is proposed to synchronize two fractional-order systems. The simulation results show that this method can effectively synchronize two chaotic systems. Keywords—Backstepping method, Fractional order, Synchronization.

A compensation scheme is presented to compensate the effect of dead-zone nonlinearity in a class of uncertain discrete-time nonlinear systems. Chebyshev Neural Network (CNN) is utilized to compensate the dead-zone nonlinearity and the unknown nonlinear functions are also approximated. The control design is attained by introducing dead-zone nonlinearity and using it in the controller design with...

Two different dynamic inversion compensation schemes for control of nonlinear system with input backlash are presented; one in continuous time and one in discrete time. Both schemes use the backstepping technique with neural networks (NN) for inverting the backlash nonlinearity in the feedforward path. The technique provides a general procedure for using NN to determine the dynamics preinverse ...